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TRS Standard pair #487068862
details
property
value
status
complete
benchmark
Liveness6.3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.26438 seconds
cpu usage
3.83287
user time
3.01685
system time
0.816023
max virtual memory
1940080.0
max residence set size
85332.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(no(x)) -> sent(rec(x)) rec(bot()) -> up(sent(bot())) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) no(up(x)) -> up(no(x)) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) top(no(up(x))) -> top(check(rec(x))) check(up(x)) -> up(check(x)) check(sent(x)) -> sent(check(x)) check(rec(x)) -> rec(check(x)) check(no(x)) -> no(check(x)) check(no(x)) -> no(x) Proof: Matrix Interpretation Processor: dim=1 interpretation: [up](x0) = x0, [sent](x0) = 2x0, [bot] = 1, [top](x0) = x0, [rec](x0) = 2x0, [check](x0) = x0, [no](x0) = 4x0 + 4 orientation: rec(rec(x)) = 4x >= 4x = sent(rec(x)) rec(sent(x)) = 4x >= 4x = sent(rec(x)) rec(no(x)) = 8x + 8 >= 4x = sent(rec(x)) rec(bot()) = 2 >= 2 = up(sent(bot())) rec(up(x)) = 2x >= 2x = up(rec(x)) sent(up(x)) = 2x >= 2x = up(sent(x)) no(up(x)) = 4x + 4 >= 4x + 4 = up(no(x)) top(rec(up(x))) = 2x >= 2x = top(check(rec(x))) top(sent(up(x))) = 2x >= 2x = top(check(rec(x))) top(no(up(x))) = 4x + 4 >= 2x = top(check(rec(x))) check(up(x)) = x >= x = up(check(x)) check(sent(x)) = 2x >= 2x = sent(check(x)) check(rec(x)) = 2x >= 2x = rec(check(x)) check(no(x)) = 4x + 4 >= 4x + 4 = no(check(x)) check(no(x)) = 4x + 4 >= 4x + 4 = no(x) problem: rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(bot()) -> up(sent(bot())) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) no(up(x)) -> up(no(x)) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) check(up(x)) -> up(check(x)) check(sent(x)) -> sent(check(x)) check(rec(x)) -> rec(check(x)) check(no(x)) -> no(check(x)) check(no(x)) -> no(x) Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [0] [up](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [sent](x0) = [0 0 0]x0 [0 0 1] , [0] [bot] = [0] [0], [1 0 0] [top](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [0]
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