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SRS Standard pair #487084382
details
property
value
status
complete
benchmark
size-12-alpha-3-num-275.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.4889 seconds
cpu usage
166.382
user time
163.69
system time
2.6925
max virtual memory
1.1452956E7
max residence set size
116224.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> c(b(x1)) a(c(c(x1))) -> c(c(a(a(x1)))) Proof: DP Processor: DPs: a#(c(c(x1))) -> a#(x1) a#(c(c(x1))) -> a#(a(x1)) TRS: a(x1) -> x1 a(b(x1)) -> c(b(x1)) a(c(c(x1))) -> c(c(a(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> c(b(x1)) a(c(c(x1))) -> c(c(a(a(x1)))) interpretation: [0 0] [-&] [b](x0) = [2 2]x0 + [1 ], [a#](x0) = [0 2]x0, [0 0 ] [0] [a](x0) = [-& 0 ]x0 + [1], [-& 0 ] [1] [c](x0) = [2 0 ]x0 + [0] orientation: a#(c(c(x1))) = [4 4]x1 + [5] >= [0 2]x1 = a#(x1) a#(c(c(x1))) = [4 4]x1 + [5] >= [0 2]x1 + [3] = a#(a(x1)) [0 0 ] [0] a(x1) = [-& 0 ]x1 + [1] >= x1 = x1 [2 2] [1] [2 2] [1] a(b(x1)) = [2 2]x1 + [1] >= [2 2]x1 + [1] = c(b(x1)) [2 2] [3] [2 2] [3] a(c(c(x1))) = [2 2]x1 + [3] >= [2 2]x1 + [3] = c(c(a(a(x1)))) problem: DPs: TRS: a(x1) -> x1 a(b(x1)) -> c(b(x1)) a(c(c(x1))) -> c(c(a(a(x1)))) Qed
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