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TRS Stand 20472 pair #381710213
details
property
value
status
complete
benchmark
jones5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.424160003662 seconds
cpu usage
0.564967851
max memory
8.7207936E7
stage attributes
key
value
output-size
1375
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: f(x,empty()) -> x f(empty(),cons(a,k)) -> f(cons(a,k),k) f(cons(a,k),y) -> f(y,k) Proof: Matrix Interpretation Processor: dim=1 interpretation: [cons](x0, x1) = x0 + 4x1, [f](x0, x1) = x0 + 4x1 + 7, [empty] = 4 orientation: f(x,empty()) = x + 23 >= x = x f(empty(),cons(a,k)) = 4a + 16k + 11 >= a + 8k + 7 = f(cons(a,k),k) f(cons(a,k),y) = a + 4k + 4y + 7 >= 4k + y + 7 = f(y,k) problem: f(cons(a,k),y) -> f(y,k) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [1] [cons](x0, x1) = [0 0 1]x0 + [0 1 0]x1 + [0] [0 0 0] [0 0 0] [0], [1 0 0] [1 0 0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 1 0] [0 1 0] orientation: [1 0 0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] f(cons(a,k),y) = [0 0 0]a + [0 0 0]k + [0 0 0]y + [0] >= [0 0 0]k + [0 0 0]y = f(y,k) [0 0 1] [0 1 0] [0 1 0] [0] [0 1 0] [0 1 0] problem: Qed
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