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SRS Stand 10685 pair #381723187
details
property
value
status
complete
benchmark
size-12-alpha-3-num-439.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.109400034 seconds
cpu usage
99.063577413
max memory
1.302089728E9
stage attributes
key
value
output-size
2688
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: a(x1) -> b(c(x1)) a(a(x1)) -> 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) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) interpretation: [a#](x0) = [0 2]x0 + [0], [-& 0 ] [1] [b](x0) = [1 -&]x0 + [0], [-& -&] [0] [c](x0) = [0 0 ]x0 + [1], [0 3 ] [1] [a](x0) = [-& 0 ]x0 + [1] orientation: a#(b(b(x1))) = [1 3]x1 + [4] >= [0 2]x1 + [0] = a#(x1) a#(b(b(x1))) = [1 3]x1 + [4] >= [0 3]x1 + [3] = a#(a(x1)) [0 3 ] [1] [0 0 ] [1] a(x1) = [-& 0 ]x1 + [1] >= [-& -&]x1 + [1] = b(c(x1)) [0 3 ] [4] a(a(x1)) = [-& 0 ]x1 + [1] >= x1 = x1 [1 4 ] [5] [1 4 ] [5] a(b(b(x1))) = [-& 1 ]x1 + [2] >= [-& 1 ]x1 + [2] = b(b(a(a(x1)))) problem: DPs: a#(b(b(x1))) -> a#(a(x1)) TRS: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Restore Modifier: DPs: a#(b(b(x1))) -> a#(a(x1)) TRS: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) interpretation: [a#](x0) = [-& 1 ]x0 + [0], [-& 1 ] [1] [b](x0) = [0 -&]x0 + [0], [-& -&] [0] [c](x0) = [-& 0 ]x0 + [1], [0 2 ] [2] [a](x0) = [-& 0 ]x0 + [0] orientation: a#(b(b(x1))) = [-& 2 ]x1 + [2] >= [-& 1 ]x1 + [1] = a#(a(x1)) [0 2 ] [2] [-& 1 ] [2] a(x1) = [-& 0 ]x1 + [0] >= [-& -&]x1 + [0] = b(c(x1)) [0 2 ] [2] a(a(x1)) = [-& 0 ]x1 + [0] >= x1 = x1 [1 3 ] [3] [1 3 ] [3] a(b(b(x1))) = [-& 1 ]x1 + [1] >= [-& 1 ]x1 + [1] = b(b(a(a(x1)))) problem: DPs: TRS: a(x1) -> b(c(x1)) a(a(x1)) -> x1
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