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TRS Standard pair #487070322
details
property
value
status
complete
benchmark
Ex1_2_Luc02c_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.38813 seconds
cpu usage
4.11534
user time
3.37434
system time
0.741005
max virtual memory
1949816.0
max residence set size
86576.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(2nd(cons(X,cons(Y,Z)))) -> mark(Y) active(from(X)) -> mark(cons(X,from(s(X)))) mark(2nd(X)) -> active(2nd(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) 2nd(mark(X)) -> 2nd(X) 2nd(active(X)) -> 2nd(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [0] [from](x0) = [1 1 1]x0 + [1] [1 1 1] [0], [1 1 1] [2nd](x0) = [0 0 0]x0 [0 0 0] , [1 1 1] [mark](x0) = [0 0 0]x0 [0 0 0] , [1 1 1] [s](x0) = [0 0 0]x0 [0 0 0] , [1 1 1] [1 0 1] [1] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [0], [1 1 1] [active](x0) = [0 0 0]x0 [0 0 0] orientation: [1 1 1] [1 1 1] [1 0 1] [2] [1 1 1] active(2nd(cons(X,cons(Y,Z)))) = [0 0 0]X + [0 0 0]Y + [0 0 0]Z + [0] >= [0 0 0]Y = mark(Y) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [3 3 3] [1] [3 3 3] [1] active(from(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = mark(cons(X,from(s(X)))) [0 0 0] [0] [0 0 0] [0] [1 1 1] [1 1 1] mark(2nd(X)) = [0 0 0]X >= [0 0 0]X = active(2nd(mark(X))) [0 0 0] [0 0 0] [1 1 1] [1 0 1] [1] [1 1 1] [1 0 1] [1] mark(cons(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = active(cons(mark(X1),X2)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [3 3 3] [1] [3 3 3] [1] mark(from(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = active(from(mark(X))) [0 0 0] [0] [0 0 0] [0] [1 1 1] [1 1 1] mark(s(X)) = [0 0 0]X >= [0 0 0]X = active(s(mark(X))) [0 0 0] [0 0 0] [1 1 1] [1 1 1] 2nd(mark(X)) = [0 0 0]X >= [0 0 0]X = 2nd(X) [0 0 0] [0 0 0] [1 1 1] [1 1 1] 2nd(active(X)) = [0 0 0]X >= [0 0 0]X = 2nd(X) [0 0 0] [0 0 0] [1 1 1] [1 0 1] [1] [1 1 1] [1 0 1] [1] cons(mark(X1),X2) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = cons(X1,X2) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 1] [1 1 1] [1] [1 1 1] [1 0 1] [1] cons(X1,mark(X2)) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = cons(X1,X2) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 1] [1 0 1] [1] [1 1 1] [1 0 1] [1] cons(active(X1),X2) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = cons(X1,X2) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 1] [1 1 1] [1] [1 1 1] [1 0 1] [1] cons(X1,active(X2)) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = cons(X1,X2) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 1] [0] [1 1 1] [0] from(mark(X)) = [1 1 1]X + [1] >= [1 1 1]X + [1] = from(X) [1 1 1] [0] [1 1 1] [0]
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