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SRS Standard pair #487084238
details
property
value
status
complete
benchmark
size-12-alpha-3-num-495.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
48.455 seconds
cpu usage
189.074
user time
186.077
system time
2.99734
max virtual memory
1.146944E7
max residence set size
116624.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> b#(c(c(a(x1)))) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> b#(c(c(a(x1)))) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) graph: c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> b#(c(c(a(x1)))) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> a#(x1) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> b#(c(c(a(x1)))) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> a#(x1) c#(b(x1)) -> b#(c(c(a(x1)))) -> b#(c(x1)) -> a#(x1) c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(x1) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/36 DPs: c#(b(x1)) -> c#(c(a(x1))) c#(b(x1)) -> c#(a(x1)) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Arctic Interpretation Processor: dimension: 3 usable rules: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) interpretation: [0 0 1] [1 ] [b](x0) = [0 0 0]x0 + [-&] [0 1 0] [0 ], [c#](x0) = [0 -& 0 ]x0 + [0], [-& -& 0 ] [0 ] [a](x0) = [-& -& 0 ]x0 + [-&] [0 0 1 ] [1 ], [0 0 -&] [0] [c](x0) = [0 -& 0 ]x0 + [0] [0 -& -&] [0] orientation: c#(b(x1)) = [0 1 1]x1 + [1] >= [-& -& 0 ]x1 + [0] = c#(c(a(x1))) c#(b(x1)) = [0 1 1]x1 + [1] >= [0 0 1]x1 + [1] = c#(a(x1)) [0 0 1] [1] [0 0 1] [1 ] a(a(x1)) = [0 0 1]x1 + [1] >= [0 0 0]x1 + [-&] = b(x1) [1 1 2] [2] [0 1 0] [0 ] [1 0 0] [1] [-& -& 0 ] [0 ] b(c(x1)) = [0 0 0]x1 + [0] >= [-& -& 0 ]x1 + [-&] = a(x1) [1 0 1] [1] [0 0 1 ] [1 ] [0 0 1] [1] [0 0 1] [1] c(b(x1)) = [0 1 1]x1 + [1] >= [0 0 1]x1 + [1] = b(c(c(a(x1)))) [0 0 1] [1] [0 0 1] [1] problem: DPs: c#(b(x1)) -> c#(a(x1)) TRS: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Restore Modifier:
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