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SRS Relative pair #487082150
details
property
value
status
complete
benchmark
rel01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.43554 seconds
cpu usage
8.56488
user time
6.90972
system time
1.65516
max virtual memory
6883308.0
max residence set size
64024.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: a(a(b(x1))) -> b(a(x1)) c(b(x1)) -> b(c(a(x1))) weak: a(x1) -> a(c(a(x1))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 1] [a](x0) = [1 1]x0, [1 1] [1] [b](x0) = [0 0]x0 + [0], [1 0] [c](x0) = [0 0]x0 orientation: [2 2] [2] [2 2] [1] a(a(b(x1))) = [2 2]x1 + [2] >= [0 0]x1 + [0] = b(a(x1)) [1 1] [1] [1 1] [1] c(b(x1)) = [0 0]x1 + [0] >= [0 0]x1 + [0] = b(c(a(x1))) [1 1] [1 1] a(x1) = [1 1]x1 >= [1 1]x1 = a(c(a(x1))) problem: strict: c(b(x1)) -> b(c(a(x1))) weak: a(x1) -> a(c(a(x1))) Bounds Processor: bound: 1 enrichment: match-rt automaton: final states: {4} transitions: b1(11) -> 12* a1(13) -> 14* a1(9) -> 10* c1(10) -> 11* c0(4) -> 4* b0(4) -> 4* a0(4) -> 4* 12 -> 4* 14 -> 4,10 4 -> 9* 11 -> 13* problem: strict: weak: a(x1) -> a(c(a(x1))) Qed
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