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SRS Stand 10685 pair #381723137
details
property
value
status
complete
benchmark
size-12-alpha-2-num-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n100.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
31.3852519989 seconds
cpu usage
124.130022141
max memory
1.479151616E9
stage attributes
key
value
output-size
4822
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))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) DP Processor: DPs: b#(a(a(x1))) -> b#(a(x1)) b#(a(a(x1))) -> b#(b(a(x1))) b#(a(a(x1))) -> a#(b(b(a(x1)))) b#(b(b(x1))) -> a#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) TDG Processor: DPs: b#(a(a(x1))) -> b#(a(x1)) b#(a(a(x1))) -> b#(b(a(x1))) b#(a(a(x1))) -> a#(b(b(a(x1)))) b#(b(b(x1))) -> a#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) graph: b#(a(a(x1))) -> b#(b(a(x1))) -> b#(b(b(x1))) -> a#(x1) b#(a(a(x1))) -> b#(b(a(x1))) -> b#(a(a(x1))) -> a#(b(b(a(x1)))) b#(a(a(x1))) -> b#(b(a(x1))) -> b#(a(a(x1))) -> b#(b(a(x1))) b#(a(a(x1))) -> b#(b(a(x1))) -> b#(a(a(x1))) -> b#(a(x1)) b#(a(a(x1))) -> b#(a(x1)) -> b#(b(b(x1))) -> a#(x1) b#(a(a(x1))) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(b(a(x1)))) b#(a(a(x1))) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(b(a(x1))) b#(a(a(x1))) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(a(x1)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: b#(a(a(x1))) -> b#(b(a(x1))) b#(a(a(x1))) -> b#(a(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) Arctic Interpretation Processor: dimension: 3 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) interpretation: [b#](x0) = [0 0 0]x0 + [0], [0 0 0 ] [0 ] [b](x0) = [0 0 1 ]x0 + [-&] [0 -& 0 ] [0 ], [0 0 0] [0 ] [a](x0) = [0 0 0]x0 + [-&] [0 0 1] [0 ] orientation: b#(a(a(x1))) = [1 1 2]x1 + [1] >= [1 1 2]x1 + [1] = b#(b(a(x1))) b#(a(a(x1))) = [1 1 2]x1 + [1] >= [0 0 1]x1 + [0] = b#(a(x1)) [0 0 0] [0 ] a(x1) = [0 0 0]x1 + [-&] >= x1 = x1 [0 0 1] [0 ] [1 1 2] [1] [1 1 2] [1] b(a(a(x1))) = [2 2 3]x1 + [2] >= [1 1 2]x1 + [1] = a(b(b(a(x1)))) [1 1 2] [1] [1 1 2] [1] [1 0 1] [1] [0 0 0] [0 ] b(b(b(x1))) = [1 1 1]x1 + [1] >= [0 0 0]x1 + [-&] = a(x1) [0 0 1] [0] [0 0 1] [0 ] problem: DPs: b#(a(a(x1))) -> b#(b(a(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(b(a(x1)))) b(b(b(x1))) -> a(x1) Restore Modifier: DPs: b#(a(a(x1))) -> b#(b(a(x1)))
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