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SRS Standard pair #487092074
details
property
value
status
complete
benchmark
size-11-alpha-3-num-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
47.6097 seconds
cpu usage
187.556
user time
183.575
system time
3.98076
max virtual memory
1.1840368E7
max residence set size
89612.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(c(x1))) -> b(c(c(a(x1)))) c(x1) -> b(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) DP Processor: DPs: c#(b(a(x1))) -> c#(b(x1)) c#(b(a(x1))) -> c#(c(b(x1))) c#(b(a(x1))) -> a#(c(c(b(x1)))) c#(x1) -> a#(b(x1)) TRS: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) TDG Processor: DPs: c#(b(a(x1))) -> c#(b(x1)) c#(b(a(x1))) -> c#(c(b(x1))) c#(b(a(x1))) -> a#(c(c(b(x1)))) c#(x1) -> a#(b(x1)) TRS: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) graph: c#(b(a(x1))) -> c#(b(x1)) -> c#(x1) -> a#(b(x1)) c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> a#(c(c(b(x1)))) c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> c#(c(b(x1))) c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> c#(b(x1)) c#(b(a(x1))) -> c#(c(b(x1))) -> c#(x1) -> a#(b(x1)) c#(b(a(x1))) -> c#(c(b(x1))) -> c#(b(a(x1))) -> a#(c(c(b(x1)))) c#(b(a(x1))) -> c#(c(b(x1))) -> c#(b(a(x1))) -> c#(c(b(x1))) c#(b(a(x1))) -> c#(c(b(x1))) -> c#(b(a(x1))) -> c#(b(x1)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: c#(b(a(x1))) -> c#(b(x1)) c#(b(a(x1))) -> c#(c(b(x1))) TRS: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) interpretation: [c#](x0) = [0 0]x0 + [0], [0 0] [0] [c](x0) = [1 0]x0 + [1], [0 0] [0] [a](x0) = [0 1]x0 + [1], [-& 0 ] [0] [b](x0) = [-& -&]x0 + [0] orientation: c#(b(a(x1))) = [0 1]x1 + [1] >= [-& 0 ]x1 + [0] = c#(b(x1)) c#(b(a(x1))) = [0 1]x1 + [1] >= [-& 1 ]x1 + [1] = c#(c(b(x1))) [0 0] [0] a(x1) = [0 1]x1 + [1] >= x1 = x1 [0 1] [1] [-& 1 ] [1] c(b(a(x1))) = [1 2]x1 + [2] >= [-& 2 ]x1 + [2] = a(c(c(b(x1)))) [0 0] [0] [-& 0 ] [0] c(x1) = [1 0]x1 + [1] >= [-& 0 ]x1 + [1] = a(b(x1)) problem: DPs: c#(b(a(x1))) -> c#(c(b(x1))) TRS: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) Restore Modifier: DPs: c#(b(a(x1))) -> c#(c(b(x1))) TRS: a(x1) -> x1 c(b(a(x1))) -> a(c(c(b(x1)))) c(x1) -> a(b(x1)) EDG Processor: DPs: c#(b(a(x1))) -> c#(c(b(x1))) TRS:
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