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TRS Standard pair #487070407
details
property
value
status
complete
benchmark
Ex4_7_77_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.663199 seconds
cpu usage
1.52688
user time
1.16507
system time
0.361817
max virtual memory
1454328.0
max residence set size
67360.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(zeros()) -> mark(cons(0(),zeros())) active(tail(cons(X,XS))) -> mark(XS) mark(zeros()) -> active(zeros()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(tail(X)) -> active(tail(mark(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) tail(mark(X)) -> tail(X) tail(active(X)) -> tail(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [mark](x0) = 2x0, [active](x0) = x0, [cons](x0, x1) = 4x0 + x1, [tail](x0) = 4x0 + 1, [zeros] = 0, [0] = 0 orientation: active(zeros()) = 0 >= 0 = mark(cons(0(),zeros())) active(tail(cons(X,XS))) = 16X + 4XS + 1 >= 2XS = mark(XS) mark(zeros()) = 0 >= 0 = active(zeros()) mark(cons(X1,X2)) = 8X1 + 2X2 >= 8X1 + X2 = active(cons(mark(X1),X2)) mark(0()) = 0 >= 0 = active(0()) mark(tail(X)) = 8X + 2 >= 8X + 1 = active(tail(mark(X))) cons(mark(X1),X2) = 8X1 + X2 >= 4X1 + X2 = cons(X1,X2) cons(X1,mark(X2)) = 4X1 + 2X2 >= 4X1 + X2 = cons(X1,X2) cons(active(X1),X2) = 4X1 + X2 >= 4X1 + X2 = cons(X1,X2) cons(X1,active(X2)) = 4X1 + X2 >= 4X1 + X2 = cons(X1,X2) tail(mark(X)) = 8X + 1 >= 4X + 1 = tail(X) tail(active(X)) = 4X + 1 >= 4X + 1 = tail(X) problem: active(zeros()) -> mark(cons(0(),zeros())) mark(zeros()) -> active(zeros()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) 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) tail(mark(X)) -> tail(X) tail(active(X)) -> tail(X) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [0] [mark](x0) = [0 0 0]x0 + [0] [0 0 1] [1], [1 1 1] [0] [active](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 1 0] [1 0 1] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 1] [tail](x0) = [1 1 0]x0 [0 0 0] , [0] [zeros] = [1] [0], [0] [0] = [0] [0] orientation: [1] [0] active(zeros()) = [0] >= [0] = mark(cons(0(),zeros())) [1] [1] [1] [1] mark(zeros()) = [0] >= [0] = active(zeros()) [1] [1]
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