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TRS Standard pair #487069962
details
property
value
status
complete
benchmark
Ex4_4_Luc96b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.637541 seconds
cpu usage
1.47919
user time
1.11117
system time
0.368027
max virtual memory
1939580.0
max residence set size
64000.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(g(X),Y)) -> mark(f(X,f(g(X),Y))) active(f(X1,X2)) -> f(active(X1),X2) active(g(X)) -> g(active(X)) f(mark(X1),X2) -> mark(f(X1,X2)) g(mark(X)) -> mark(g(X)) proper(f(X1,X2)) -> f(proper(X1),proper(X2)) proper(g(X)) -> g(proper(X)) f(ok(X1),ok(X2)) -> ok(f(X1,X2)) g(ok(X)) -> ok(g(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [proper](x0) = x0, [f](x0, x1) = 4x0 + x1 + 3, [mark](x0) = x0 + 3, [ok](x0) = 3x0 + 4, [g](x0) = 2x0 + 1, [top](x0) = x0 + 4, [active](x0) = 2x0 + 1 orientation: active(f(g(X),Y)) = 16X + 2Y + 15 >= 12X + Y + 13 = mark(f(X,f(g(X),Y))) active(f(X1,X2)) = 8X1 + 2X2 + 7 >= 8X1 + X2 + 7 = f(active(X1),X2) active(g(X)) = 4X + 3 >= 4X + 3 = g(active(X)) f(mark(X1),X2) = 4X1 + X2 + 15 >= 4X1 + X2 + 6 = mark(f(X1,X2)) g(mark(X)) = 2X + 7 >= 2X + 4 = mark(g(X)) proper(f(X1,X2)) = 4X1 + X2 + 3 >= 4X1 + X2 + 3 = f(proper(X1),proper(X2)) proper(g(X)) = 2X + 1 >= 2X + 1 = g(proper(X)) f(ok(X1),ok(X2)) = 12X1 + 3X2 + 23 >= 12X1 + 3X2 + 13 = ok(f(X1,X2)) g(ok(X)) = 6X + 9 >= 6X + 7 = ok(g(X)) top(mark(X)) = X + 7 >= X + 4 = top(proper(X)) top(ok(X)) = 3X + 8 >= 2X + 5 = top(active(X)) problem: active(f(X1,X2)) -> f(active(X1),X2) active(g(X)) -> g(active(X)) proper(f(X1,X2)) -> f(proper(X1),proper(X2)) proper(g(X)) -> g(proper(X)) Matrix Interpretation Processor: dim=1 interpretation: [proper](x0) = 2x0 + 5, [f](x0, x1) = x0 + x1 + 5, [g](x0) = x0 + 3, [active](x0) = x0 orientation: active(f(X1,X2)) = X1 + X2 + 5 >= X1 + X2 + 5 = f(active(X1),X2) active(g(X)) = X + 3 >= X + 3 = g(active(X)) proper(f(X1,X2)) = 2X1 + 2X2 + 15 >= 2X1 + 2X2 + 15 = f(proper(X1),proper(X2)) proper(g(X)) = 2X + 11 >= 2X + 8 = g(proper(X)) problem: active(f(X1,X2)) -> f(active(X1),X2) active(g(X)) -> g(active(X)) proper(f(X1,X2)) -> f(proper(X1),proper(X2)) Matrix Interpretation Processor: dim=3 interpretation: [proper](x0) = x0 , [1 0 0] [1 0 0] [0] [f](x0, x1) = [0 0 1]x0 + [0 0 0]x1 + [1] [0 1 0] [0 0 0] [0], [g](x0) = x0 , [1 1 1] [active](x0) = [1 1 0]x0 [1 0 1] orientation:
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