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TRS Standard pair #516967024
details
property
value
status
complete
benchmark
#3.49.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n064.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.766444921494 seconds
cpu usage
1.012299863
max memory
1.94543616E8
stage attributes
key
value
output-size
2505
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(c(s(x),y)) -> f(c(x,s(y))) f(c(s(x),s(y))) -> g(c(x,y)) g(c(x,s(y))) -> g(c(s(x),y)) g(c(s(x),s(y))) -> f(c(x,y)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [c](x0, x1) = x0 + x1 + 4, [g](x0) = 2x0 + 1, [s](x0) = x0 + 4, [f](x0) = 2x0 + 4 orientation: f(c(s(x),y)) = 2x + 2y + 20 >= 2x + 2y + 20 = f(c(x,s(y))) f(c(s(x),s(y))) = 2x + 2y + 28 >= 2x + 2y + 9 = g(c(x,y)) g(c(x,s(y))) = 2x + 2y + 17 >= 2x + 2y + 17 = g(c(s(x),y)) g(c(s(x),s(y))) = 2x + 2y + 25 >= 2x + 2y + 12 = f(c(x,y)) problem: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [c](x0, x1) = [0 1 1]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 1 1]x0 + [0] [0 0 0] [1], [1 1 0] [f](x0) = [0 1 0]x0 [0 0 0] orientation: [1 1 1] [1 0 0] [1] [1 1 1] [1 0 0] f(c(s(x),y)) = [0 1 1]x + [0 0 0]y + [1] >= [0 1 1]x + [0 0 0]y = f(c(x,s(y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] g(c(x,s(y))) = [0 0 0]x + [0 0 0]y >= [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] problem: g(c(x,s(y))) -> g(c(s(x),y)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [c](x0, x1) = [0 0 0]x0 + x1 [0 0 0] , [1 0 1] [g](x0) = [0 1 0]x0 [0 0 0] , [0] [s](x0) = x0 + [0] [1] orientation: [1 0 0] [1 0 1] [1] [1 0 0] [1 0 1] g(c(x,s(y))) = [0 0 0]x + [0 1 0]y + [0] >= [0 0 0]x + [0 1 0]y = g(c(s(x),y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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