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SRS Standard pair #487083614
details
property
value
status
complete
benchmark
size-12-alpha-3-num-439.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.0699 seconds
cpu usage
220.382
user time
217.428
system time
2.95375
max virtual memory
1.1642452E7
max residence set size
101828.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Proof: DP Processor: DPs: a#(b(b(x1))) -> a#(x1) a#(b(b(x1))) -> a#(a(x1)) TRS: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) interpretation: [0 -&] [c](x0) = [-& -&]x0, [a#](x0) = [0 -&]x0 + [0], [0 -&] [-&] [a](x0) = [3 0 ]x0 + [2 ], [0 1] [-&] [b](x0) = [3 0]x0 + [2 ] orientation: a#(b(b(x1))) = [4 1]x1 + [3] >= [0 -&]x1 + [0] = a#(x1) a#(b(b(x1))) = [4 1]x1 + [3] >= [0 -&]x1 + [0] = a#(a(x1)) [0 -&] [-&] [0 -&] [-&] a(x1) = [3 0 ]x1 + [2 ] >= [3 -&]x1 + [2 ] = b(c(x1)) [0 -&] [-&] a(a(x1)) = [3 0 ]x1 + [2 ] >= x1 = x1 [4 1] [3] [4 1] [3] a(b(b(x1))) = [7 4]x1 + [6] >= [7 4]x1 + [6] = b(b(a(a(x1)))) problem: DPs: TRS: a(x1) -> b(c(x1)) a(a(x1)) -> x1 a(b(b(x1))) -> b(b(a(a(x1)))) Qed
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