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TRS Standard pair #487068887
details
property
value
status
complete
benchmark
Liveness6.1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.718653 seconds
cpu usage
1.71755
user time
1.23245
system time
0.485103
max virtual memory
1939976.0
max residence set size
68956.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: top(free(x)) -> top(check(new(x))) new(free(x)) -> free(new(x)) old(free(x)) -> free(old(x)) new(serve()) -> free(serve()) old(serve()) -> free(serve()) check(free(x)) -> free(check(x)) check(new(x)) -> new(check(x)) check(old(x)) -> old(check(x)) check(old(x)) -> old(x) Proof: Matrix Interpretation Processor: dim=1 interpretation: [old](x0) = 4x0, [top](x0) = 2x0 + 1, [check](x0) = x0, [serve] = 4, [free](x0) = 2x0, [new](x0) = 2x0 orientation: top(free(x)) = 4x + 1 >= 4x + 1 = top(check(new(x))) new(free(x)) = 4x >= 4x = free(new(x)) old(free(x)) = 8x >= 8x = free(old(x)) new(serve()) = 8 >= 8 = free(serve()) old(serve()) = 16 >= 8 = free(serve()) check(free(x)) = 2x >= 2x = free(check(x)) check(new(x)) = 2x >= 2x = new(check(x)) check(old(x)) = 4x >= 4x = old(check(x)) check(old(x)) = 4x >= 4x = old(x) problem: top(free(x)) -> top(check(new(x))) new(free(x)) -> free(new(x)) old(free(x)) -> free(old(x)) new(serve()) -> free(serve()) check(free(x)) -> free(check(x)) check(new(x)) -> new(check(x)) check(old(x)) -> old(check(x)) check(old(x)) -> old(x) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [old](x0) = [0 1 0]x0 + [0] [0 0 0] [0], [1 1 1] [top](x0) = [1 0 1]x0 [0 0 0] , [1 0 0] [check](x0) = [0 1 0]x0 [0 0 0] , [0] [serve] = [1] [1], [1 1 0] [0] [free](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 1] [new](x0) = [0 1 0]x0 [0 0 1] orientation: [1 1 1] [1] [1 1 1] top(free(x)) = [1 1 1]x + [0] >= [1 0 1]x = top(check(new(x))) [0 0 0] [0] [0 0 0] [1 1 1] [0] [1 1 1] [0] new(free(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = free(new(x)) [0 0 1] [0] [0 0 1] [0] [1 1 0] [1] [1 1 0] [1] old(free(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = free(old(x)) [0 0 0] [0] [0 0 0] [0] [1] [1] new(serve()) = [1] >= [1] = free(serve()) [1] [1] [1 1 0] [0] [1 1 0] [0] check(free(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = free(check(x))
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