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SRS Stand 10685 pair #381723107
details
property
value
status
complete
benchmark
size-12-alpha-3-num-152.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
27.3251550198 seconds
cpu usage
107.848817032
max memory
1.432936448E9
stage attributes
key
value
output-size
5606
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(b(x1)) -> b(a(a(c(x1)))) b(x1) -> x1 c(c(a(x1))) -> b(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) graph: b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) -> a#(c(c(x1))) -> b#(x1) b#(a(x1)) -> a#(a(b(x1))) -> a#(c(c(x1))) -> b#(x1) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) interpretation: [b#](x0) = [0 2]x0 + [0], [a#](x0) = [-& 2 ]x0 + [2], [1 0 ] [0] [c](x0) = [0 -&]x0 + [0], [0 1 ] [0 ] [b](x0) = [-& 0 ]x0 + [-&], [0 0] [0] [a](x0) = [0 1]x0 + [0] orientation: b#(a(x1)) = [2 3]x1 + [2] >= [0 2]x1 + [0] = b#(x1) b#(a(x1)) = [2 3]x1 + [2] >= [-& 2 ]x1 + [2] = a#(b(x1)) b#(a(x1)) = [2 3]x1 + [2] >= [2 3]x1 + [2] = a#(a(b(x1))) a#(c(c(x1))) = [3 2]x1 + [2] >= [0 2]x1 + [0] = b#(x1) [0 0] [0] a(x1) = [0 1]x1 + [0] >= x1 = x1 [1 2] [1] [1 2] [1] b(a(x1)) = [0 1]x1 + [0] >= [0 1]x1 + [0] = c(a(a(b(x1)))) [0 1 ] [0 ] b(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 [2 1] [1] [0 1 ] [0 ] a(c(c(x1))) = [2 1]x1 + [1] >= [-& 0 ]x1 + [-&] = b(x1) problem: DPs: b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1
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