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TRS Standard pair #516964579
details
property
value
status
complete
benchmark
jones4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.472738027573 seconds
cpu usage
0.559275294
max memory
1.68861696E8
stage attributes
key
value
output-size
1674
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: p(m,n,s(r)) -> p(m,r,n) p(m,s(n),0()) -> p(0(),n,m) p(m,0(),0()) -> m Proof: Matrix Interpretation Processor: dim=1 interpretation: [p](x0, x1, x2) = x0 + x1 + x2 + 3, [s](x0) = x0, [0] = 6 orientation: p(m,n,s(r)) = m + n + r + 3 >= m + n + r + 3 = p(m,r,n) p(m,s(n),0()) = m + n + 9 >= m + n + 9 = p(0(),n,m) p(m,0(),0()) = m + 15 >= m = m problem: p(m,n,s(r)) -> p(m,r,n) p(m,s(n),0()) -> p(0(),n,m) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [1 0 0] [p](x0, x1, x2) = [0 1 1]x0 + [0 1 1]x1 + [0 1 1]x2 [0 0 0] [0 0 0] [0 0 0] , [1 0 0] [1] [s](x0) = [0 0 1]x0 + [0] [0 1 0] [0], [0] [0] = [0] [0] orientation: [1 0 0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] [1 0 0] p(m,n,s(r)) = [0 1 1]m + [0 1 1]n + [0 1 1]r + [0] >= [0 1 1]m + [0 1 1]n + [0 1 1]r = p(m,r,n) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] p(m,s(n),0()) = [0 1 1]m + [0 1 1]n + [0] >= [0 1 1]m + [0 1 1]n = p(0(),n,m) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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