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TRS Standard pair #516964529
details
property
value
status
complete
benchmark
test1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.486905097961 seconds
cpu usage
0.616027727
max memory
1.43777792E8
stage attributes
key
value
output-size
1690
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(s(x),y) -> f(x,s(s(x))) f(x,s(s(y))) -> f(y,x) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [1 0 0] [0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [1], [1 1 0] [1] [s](x0) = [1 1 1]x0 + [0] [1 1 1] [1] orientation: [3 3 2] [1 0 0] [2] [3 3 2] [2] f(s(x),y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0] = f(x,s(s(x))) [0 0 0] [0 0 0] [1] [0 0 0] [1] [1 1 1] [2 2 1] [2] [1 0 0] [1 1 1] [0] f(x,s(s(y))) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y + [0] = f(y,x) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] problem: f(s(x),y) -> f(x,s(s(x))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [1 0 0] [0 0 0] [1], [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [1 0 1] [1] orientation: [2 0 1] [1 0 0] [1] [2 0 1] [0] f(s(x),y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0] = f(x,s(s(x))) [1 0 0] [0 0 0] [1] [1 0 0] [1] problem: Qed
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