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TRS Standard pair #516967769
details
property
value
status
complete
benchmark
#4.32.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n068.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.503116130829 seconds
cpu usage
0.785636708
max memory
1.6304128E8
stage attributes
key
value
output-size
1617
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(x,c(y)) -> f(x,s(f(y,y))) f(s(x),s(y)) -> f(x,s(c(s(y)))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2 2] [0] [f](x0, x1) = [1 0]x0 + [1 2]x1 + [1], [1 0] [0] [c](x0) = [2 2]x0 + [2], [1 0] [s](x0) = [0 0]x0 orientation: [1 0] [6 4] [4] [1 0] [6 4] [0] f(x,c(y)) = [1 0]x + [5 4]y + [5] >= [1 0]x + [3 2]y + [1] = f(x,s(f(y,y))) [1 0] [2 0] [0] [1 0] [2 0] [0] f(s(x),s(y)) = [1 0]x + [1 0]y + [1] >= [1 0]x + [1 0]y + [1] = f(x,s(c(s(y)))) problem: f(s(x),s(y)) -> f(x,s(c(s(y)))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [c](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 1] [1] orientation: [1 0 1] [1 0 0] [1] [1 0 1] [1 0 0] f(s(x),s(y)) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y = f(x,s(c(s(y)))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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