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TRS Standard pair #516967049
details
property
value
status
complete
benchmark
#3.56.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n167.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.60097193718 seconds
cpu usage
1.113776974
max memory
1.95485696E8
stage attributes
key
value
output-size
3674
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: g(c(x,s(y))) -> g(c(s(x),y)) f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) f(x) -> x Proof: Matrix Interpretation Processor: dim=1 interpretation: [d](x0) = x0, [c](x0, x1) = x0 + 2x1, [f](x0) = 2x0 + 4, [s](x0) = x0, [g](x0) = 2x0 orientation: g(c(x,s(y))) = 2x + 4y >= 2x + 4y = g(c(s(x),y)) f(c(s(x),y)) = 2x + 4y + 4 >= 2x + 4y + 4 = f(c(x,s(y))) f(f(x)) = 4x + 12 >= 4x + 12 = f(d(f(x))) f(x) = 2x + 4 >= x = x problem: g(c(x,s(y))) -> g(c(s(x),y)) f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [d](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [1 0 0] [c](x0, x1) = [0 0 0]x0 + [0 0 1]x1 [0 1 0] [0 0 0] , [1 0 1] [0] [f](x0) = [0 0 1]x0 + [0] [0 0 0] [1], [1 0 0] [0] [s](x0) = [0 1 1]x0 + [0] [0 0 1] [1], [1 1 0] [g](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [1 0 1] [1] [1 0 0] [1 0 1] g(c(x,s(y))) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y = g(c(s(x),y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 1 1] [1 0 0] [0] [1 1 0] [1 0 0] [0] f(c(s(x),y)) = [0 1 1]x + [0 0 0]y + [0] >= [0 1 0]x + [0 0 0]y + [0] = f(c(x,s(y))) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 0 1] [1] [1 0 1] [1] f(f(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = f(d(f(x))) [0 0 0] [1] [0 0 0] [1] problem: f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [d](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [1 1 0] [1 0 0] [0] [c](x0, x1) = [0 1 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [1], [1 0 0] [0] [f](x0) = [1 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [0] [s](x0) = [0 1 0]x0 + [1] [0 0 0] [0] orientation: [1 1 0] [1 0 0] [1] [1 1 0] [1 0 0] [0] f(c(s(x),y)) = [1 1 0]x + [1 0 0]y + [1] >= [1 1 0]x + [1 0 0]y + [0] = f(c(x,s(y))) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 0 0] [0] [1 0 0] [0]
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