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SRS Stand 10685 pair #381720567
details
property
value
status
complete
benchmark
size-12-alpha-3-num-124.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n023.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
41.5477859974 seconds
cpu usage
164.718067022
max memory
1.589624832E9
stage attributes
key
value
output-size
7126
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))) -> c(b(b(a(a(x1))))) b(c(x1)) -> a(x1) Proof: DP Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> b#(b(a(a(x1)))) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(b(x1))) -> c(b(b(a(a(x1))))) b(c(x1)) -> a(x1) TDG Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> b#(b(a(a(x1)))) b#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 a(a(b(x1))) -> c(b(b(a(a(x1))))) b(c(x1)) -> a(x1) graph: b#(c(x1)) -> a#(x1) -> a#(a(b(x1))) -> b#(b(a(a(x1)))) b#(c(x1)) -> a#(x1) -> a#(a(b(x1))) -> b#(a(a(x1))) b#(c(x1)) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1)) b#(c(x1)) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> b#(b(a(a(x1)))) -> b#(c(x1)) -> a#(x1) a#(a(b(x1))) -> b#(a(a(x1))) -> b#(c(x1)) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(b(a(a(x1)))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(b(a(a(x1)))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) Arctic Interpretation Processor: dimension: 4 usable rules: a(x1) -> x1 a(a(b(x1))) -> c(b(b(a(a(x1))))) b(c(x1)) -> a(x1) interpretation: [b#](x0) = [0 0 0 0]x0 + [0], [a#](x0) = [0 -& 0 0 ]x0, [1 0 0 0 ] [1 ] [0 -& 0 0 ] [-&] [c](x0) = [0 -& 0 0 ]x0 + [0 ] [0 0 1 1 ] [1 ], [-& -& 0 -&] [0] [0 0 1 0 ] [0] [b](x0) = [-& -& 0 -&]x0 + [0] [0 -& 0 -&] [0], [0 -& 0 0 ] [0] [0 0 0 0 ] [0] [a](x0) = [-& -& 0 -&]x0 + [0] [0 0 0 0 ] [1] orientation: a#(a(b(x1))) = [0 0 1 0]x1 + [1] >= [0 -& 0 0 ]x1 = a#(x1) a#(a(b(x1))) = [0 0 1 0]x1 + [1] >= [0 0 0 0]x1 + [1] = a#(a(x1)) a#(a(b(x1))) = [0 0 1 0]x1 + [1] >= [0 0 0 0]x1 + [1] = b#(a(a(x1))) a#(a(b(x1))) = [0 0 1 0]x1 + [1] >= [0 0 1 0]x1 + [1] = b#(b(a(a(x1)))) b#(c(x1)) = [1 0 1 1]x1 + [1] >= [0 -& 0 0 ]x1 = a#(x1) [0 -& 0 0 ] [0] [0 0 0 0 ] [0] a(x1) = [-& -& 0 -&]x1 + [0] >= x1 = x1 [0 0 0 0 ] [1] [0 0 1 0 ] [1] [0 0 1 0 ] [1] [0 0 1 0 ] [1] [-& -& 0 -&] [0] a(a(b(x1))) = [-& -& 0 -&]x1 + [0] >= [-& -& 0 -&]x1 + [0] = c(b(b(a(a(x1))))) [0 0 1 0 ] [1] [0 0 1 0 ] [1] [0 -& 0 0 ] [0] [0 -& 0 0 ] [0] [1 0 1 1 ] [1] [0 0 0 0 ] [0] b(c(x1)) = [0 -& 0 0 ]x1 + [0] >= [-& -& 0 -&]x1 + [0] = a(x1)
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