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SRS Stand 10685 pair #381722817
details
property
value
status
complete
benchmark
size-12-alpha-3-num-114.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
31.567358017 seconds
cpu usage
124.844348073
max memory
1.588256768E9
stage attributes
key
value
output-size
5725
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) -> x1 a(a(b(x1))) -> b(c(a(a(a(x1))))) c(a(x1)) -> b(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(x1))))) a(c(x1)) -> b(x1) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> a#(c(b(x1))) b#(a(a(x1))) -> a#(a(c(b(x1)))) b#(a(a(x1))) -> a#(a(a(c(b(x1))))) a#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(x1))))) a(c(x1)) -> b(x1) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> a#(c(b(x1))) b#(a(a(x1))) -> a#(a(c(b(x1)))) b#(a(a(x1))) -> a#(a(a(c(b(x1))))) a#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(x1))))) a(c(x1)) -> b(x1) graph: b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(a(c(b(x1))))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(c(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(c(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> a#(c(b(x1))) -> a#(c(x1)) -> b#(x1) b#(a(a(x1))) -> a#(a(c(b(x1)))) -> a#(c(x1)) -> b#(x1) b#(a(a(x1))) -> a#(a(a(c(b(x1))))) -> a#(c(x1)) -> b#(x1) a#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(a(a(c(b(x1))))) a#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(a(c(b(x1)))) a#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(c(b(x1))) a#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(x1))))) a(c(x1)) -> b(x1) interpretation: [b#](x0) = [0 1]x0 + [1], [a#](x0) = [-& 1 ]x0 + [0], [-& -&] [1] [c](x0) = [0 0 ]x0 + [0], [0 0] [2] [b](x0) = [0 0]x0 + [1], [0 0] [2] [a](x0) = [1 0]x0 + [0] orientation: b#(a(a(x1))) = [2 2]x1 + [4] >= [0 1]x1 + [1] = b#(x1) b#(a(a(x1))) = [2 2]x1 + [4] >= [1 1]x1 + [3] = a#(c(b(x1))) b#(a(a(x1))) = [2 2]x1 + [4] >= [1 1]x1 + [3] = a#(a(c(b(x1)))) b#(a(a(x1))) = [2 2]x1 + [4] >= [2 2]x1 + [4] = a#(a(a(c(b(x1))))) a#(c(x1)) = [1 1]x1 + [1] >= [0 1]x1 + [1] = b#(x1) [0 0] [2] a(x1) = [1 0]x1 + [0] >= x1 = x1 [1 1] [3] [1 1] [3] b(a(a(x1))) = [1 1]x1 + [3] >= [1 1]x1 + [3] = a(a(a(c(b(x1))))) [0 0] [2] [0 0] [2] a(c(x1)) = [0 0]x1 + [2] >= [0 0]x1 + [1] = b(x1) problem: DPs: b#(a(a(x1))) -> a#(a(a(c(b(x1))))) a#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(x1))))) a(c(x1)) -> b(x1) Restore Modifier: DPs:
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