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SRS Stand 10685 pair #381722687
details
property
value
status
complete
benchmark
size-12-alpha-3-num-49.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
23.2732088566 seconds
cpu usage
91.675321739
max memory
1.461342208E9
stage attributes
key
value
output-size
1434
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(x1) -> b(c(b(x1))) a(b(b(x1))) -> b(b(a(a(x1)))) Proof: DP Processor: DPs: a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> a#(a(x1)) TRS: a(x1) -> x1 a(x1) -> b(c(b(x1))) a(b(b(x1))) -> b(b(a(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(c(b(x1))) a(b(b(x1))) -> b(b(a(a(x1)))) interpretation: [a#](x0) = [0 0]x0 + [0], [0 ] [c](x0) = [-&], [0 1] [0] [b](x0) = [0 0]x0 + [2], [0 0] [0] [a](x0) = [0 0]x0 + [2] orientation: a#(b(b(x1))) = [1 1]x1 + [3] >= [0 0]x1 + [0] = a#(x1) a#(b(b(x1))) = [1 1]x1 + [3] >= [0 0]x1 + [2] = a#(a(x1)) [0 0] [0] a(x1) = [0 0]x1 + [2] >= x1 = x1 [0 0] [0] [0] a(x1) = [0 0]x1 + [2] >= [2] = b(c(b(x1))) [1 1] [3] [1 1] [3] a(b(b(x1))) = [1 1]x1 + [3] >= [1 1]x1 + [3] = b(b(a(a(x1)))) problem: DPs: TRS: a(x1) -> x1 a(x1) -> b(c(b(x1))) a(b(b(x1))) -> b(b(a(a(x1)))) Qed
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