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TRS Standard pair #487069542
details
property
value
status
complete
benchmark
Ex4_4_Luc96b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.684165 seconds
cpu usage
1.54962
user time
1.23135
system time
0.318267
max virtual memory
1357576.0
max residence set size
68684.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(g(X),Y)) -> mark(f(X,f(g(X),Y))) mark(f(X1,X2)) -> active(f(mark(X1),X2)) mark(g(X)) -> active(g(mark(X))) f(mark(X1),X2) -> f(X1,X2) f(X1,mark(X2)) -> f(X1,X2) f(active(X1),X2) -> f(X1,X2) f(X1,active(X2)) -> f(X1,X2) g(mark(X)) -> g(X) g(active(X)) -> g(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 0 0] [f](x0, x1) = [0 0 1]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 1 0] [mark](x0) = [0 0 0]x0 [0 0 1] , [1 1 0] [0] [g](x0) = [1 1 0]x0 + [0] [1 1 1] [1], [1 1 0] [active](x0) = [0 0 0]x0 [0 0 1] orientation: [3 3 1] [1 0 0] [1] [3 3 1] [1 0 0] active(f(g(X),Y)) = [0 0 0]X + [0 0 0]Y + [0] >= [0 0 0]X + [0 0 0]Y = mark(f(X,f(g(X),Y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 1 1] [1 0 0] [1 1 1] [1 0 0] mark(f(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = active(f(mark(X1),X2)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [2 2 0] [0] [2 2 0] [0] mark(g(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = active(g(mark(X))) [1 1 1] [1] [1 1 1] [1] [1 1 0] [1 0 0] [1 1 0] [1 0 0] f(mark(X1),X2) = [0 0 1]X1 + [0 0 0]X2 >= [0 0 1]X1 + [0 0 0]X2 = f(X1,X2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 1 0] [1 1 0] [1 0 0] f(X1,mark(X2)) = [0 0 1]X1 + [0 0 0]X2 >= [0 0 1]X1 + [0 0 0]X2 = f(X1,X2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 0 0] [1 1 0] [1 0 0] f(active(X1),X2) = [0 0 1]X1 + [0 0 0]X2 >= [0 0 1]X1 + [0 0 0]X2 = f(X1,X2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 1 0] [1 1 0] [1 0 0] f(X1,active(X2)) = [0 0 1]X1 + [0 0 0]X2 >= [0 0 1]X1 + [0 0 0]X2 = f(X1,X2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [0] [1 1 0] [0] g(mark(X)) = [1 1 0]X + [0] >= [1 1 0]X + [0] = g(X) [1 1 1] [1] [1 1 1] [1] [1 1 0] [0] [1 1 0] [0] g(active(X)) = [1 1 0]X + [0] >= [1 1 0]X + [0] = g(X) [1 1 1] [1] [1 1 1] [1] problem: mark(f(X1,X2)) -> active(f(mark(X1),X2)) mark(g(X)) -> active(g(mark(X))) f(mark(X1),X2) -> f(X1,X2) f(X1,mark(X2)) -> f(X1,X2) f(active(X1),X2) -> f(X1,X2) f(X1,active(X2)) -> f(X1,X2) g(mark(X)) -> g(X) g(active(X)) -> g(X) Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = 2x0 + 4x1 + 2, [mark](x0) = 2x0, [g](x0) = 4x0, [active](x0) = x0 orientation: mark(f(X1,X2)) = 4X1 + 8X2 + 4 >= 4X1 + 4X2 + 2 = active(f(mark(X1),X2)) mark(g(X)) = 8X >= 8X = active(g(mark(X))) f(mark(X1),X2) = 4X1 + 4X2 + 2 >= 2X1 + 4X2 + 2 = f(X1,X2) f(X1,mark(X2)) = 2X1 + 8X2 + 2 >= 2X1 + 4X2 + 2 = f(X1,X2) f(active(X1),X2) = 2X1 + 4X2 + 2 >= 2X1 + 4X2 + 2 = f(X1,X2) f(X1,active(X2)) = 2X1 + 4X2 + 2 >= 2X1 + 4X2 + 2 = f(X1,X2)
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