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SRS Standard pair #487092104
details
property
value
status
complete
benchmark
size-11-alpha-3-num-10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.441 seconds
cpu usage
173.859
user time
170.274
system time
3.5844
max virtual memory
1.0673244E7
max residence set size
101896.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(b(a(a(x1)))) b(x1) -> c(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) graph: b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) interpretation: [b#](x0) = [0 0]x0, [0 -&] [-&] [b](x0) = [2 0 ]x0 + [0 ], [0 0] [-&] [a](x0) = [2 0]x0 + [0 ], [0 -&] [c](x0) = [0 -&]x0 orientation: b#(a(a(x1))) = [2 2]x1 + [0] >= [2 0]x1 + [0] = b#(b(x1)) b#(a(a(x1))) = [2 2]x1 + [0] >= [0 0]x1 = b#(x1) [0 0] [-&] a(x1) = [2 0]x1 + [0 ] >= x1 = x1 [2 0] [0] [2 0] [0] b(a(a(x1))) = [4 2]x1 + [2] >= [4 2]x1 + [2] = a(a(b(b(x1)))) [0 -&] [-&] [0 -&] [-&] b(x1) = [2 0 ]x1 + [0 ] >= [2 -&]x1 + [0 ] = a(c(x1)) problem: DPs: b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1)) Restore Modifier: DPs: b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(x1))
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