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SRS Standard pair #487084376
details
property
value
status
complete
benchmark
size-12-alpha-3-num-503.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
48.3036 seconds
cpu usage
191.2
user time
188.278
system time
2.92177
max virtual memory
1.1348688E7
max residence set size
101896.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> b#(b(b(c(x1)))) b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) TDG Processor: DPs: a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> b#(b(b(c(x1)))) b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) graph: b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1))) b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(b(c(x1)))) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(c(x1))) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(b(c(x1)))) -> b#(c(b(x1))) -> a#(b(c(x1))) a#(a(x1)) -> b#(b(b(c(x1)))) -> b#(c(b(x1))) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) -> b#(c(b(x1))) -> a#(b(c(x1))) a#(a(x1)) -> b#(b(c(x1))) -> b#(c(b(x1))) -> b#(c(x1)) a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1))) a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1)) EDG Processor: DPs: a#(a(x1)) -> b#(c(x1)) a#(a(x1)) -> b#(b(c(x1))) a#(a(x1)) -> b#(b(b(c(x1)))) b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) TRS: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) graph: b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1))) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(c(x1))) b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(b(c(x1)))) a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1)) a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 7/25 DPs: b#(c(b(x1))) -> b#(c(x1)) b#(c(b(x1))) -> a#(b(c(x1))) a#(a(x1)) -> b#(c(x1)) TRS: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) Arctic Interpretation Processor: dimension: 4 usable rules: a(a(x1)) -> b(b(b(c(x1)))) b(c(b(x1))) -> a(b(c(x1))) interpretation: [b#](x0) = [-& 0 0 0 ]x0 + [0], [-& 1 0 0 ] [0 ] [-& -& -& -&] [-&] [c](x0) = [-& 0 0 0 ]x0 + [0 ] [-& 0 0 -&] [0 ], [a#](x0) = [0 0 0 0]x0 + [0], [0 1 1 1 ] [1] [0 0 0 0 ] [0] [a](x0) = [0 0 0 0 ]x0 + [0] [0 0 -& 0 ] [0], [0 0 0 0 ] [0] [-& -& 0 0 ] [0] [b](x0) = [-& 0 0 0 ]x0 + [0] [-& 1 0 0 ] [0] orientation: b#(c(b(x1))) = [-& 1 0 0 ]x1 + [0] >= [-& 0 0 0 ]x1 + [0] = b#(c(x1)) b#(c(b(x1))) = [-& 1 0 0 ]x1 + [0] >= [-& 1 0 0 ]x1 + [0] = a#(b(c(x1))) a#(a(x1)) = [0 1 1 1]x1 + [1] >= [-& 0 0 0 ]x1 + [0] = b#(c(x1)) [1 1 1 1] [1] [-& 1 1 1 ] [1]
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