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TRS Standard pair #516962889
details
property
value
status
complete
benchmark
Ex15_Luc98_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.855825901031 seconds
cpu usage
1.847355722
max memory
2.4911872E8
stage attributes
key
value
output-size
14474
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a__and(true(),X) -> mark(X) a__and(false(),Y) -> false() a__if(true(),X,Y) -> mark(X) a__if(false(),X,Y) -> mark(Y) a__add(0(),X) -> mark(X) a__add(s(X),Y) -> s(add(X,Y)) a__first(0(),X) -> nil() a__first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) a__from(X) -> cons(X,from(s(X))) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3) mark(add(X1,X2)) -> a__add(mark(X1),X2) mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) mark(from(X)) -> a__from(X) mark(true()) -> true() mark(false()) -> false() mark(0()) -> 0() mark(s(X)) -> s(X) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(X1,X2) a__and(X1,X2) -> and(X1,X2) a__if(X1,X2,X3) -> if(X1,X2,X3) a__add(X1,X2) -> add(X1,X2) a__first(X1,X2) -> first(X1,X2) a__from(X) -> from(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [a__if](x0, x1, x2) = 2x0 + 2x1 + 2x2 + 1, [and](x0, x1) = 4x0 + 2x1 + 3, [add](x0, x1) = x0 + 2x1, [a__and](x0, x1) = 4x0 + 4x1 + 3, [false] = 0, [if](x0, x1, x2) = 2x0 + 2x1 + x2 + 1, [0] = 2, [nil] = 0, [true] = 7, [s](x0) = x0, [from](x0) = x0 + 6, [first](x0, x1) = x0 + x1 + 4, [cons](x0, x1) = x0 + x1, [a__first](x0, x1) = x0 + x1 + 4, [a__from](x0) = 2x0 + 7, [a__add](x0, x1) = x0 + 3x1, [mark](x0) = 2x0 + 1 orientation: a__and(true(),X) = 4X + 31 >= 2X + 1 = mark(X) a__and(false(),Y) = 4Y + 3 >= 0 = false() a__if(true(),X,Y) = 2X + 2Y + 15 >= 2X + 1 = mark(X) a__if(false(),X,Y) = 2X + 2Y + 1 >= 2Y + 1 = mark(Y) a__add(0(),X) = 3X + 2 >= 2X + 1 = mark(X) a__add(s(X),Y) = X + 3Y >= X + 2Y = s(add(X,Y)) a__first(0(),X) = X + 6 >= 0 = nil() a__first(s(X),cons(Y,Z)) = X + Y + Z + 4 >= X + Y + Z + 4 = cons(Y,first(X,Z)) a__from(X) = 2X + 7 >= 2X + 6 = cons(X,from(s(X))) mark(and(X1,X2)) = 8X1 + 4X2 + 7 >= 8X1 + 4X2 + 7 = a__and(mark(X1),X2) mark(if(X1,X2,X3)) = 4X1 + 4X2 + 2X3 + 3 >= 4X1 + 2X2 + 2X3 + 3 = a__if(mark(X1),X2,X3) mark(add(X1,X2)) = 2X1 + 4X2 + 1 >= 2X1 + 3X2 + 1 = a__add(mark(X1),X2) mark(first(X1,X2)) = 2X1 + 2X2 + 9 >= 2X1 + 2X2 + 6 = a__first(mark(X1),mark(X2)) mark(from(X)) = 2X + 13 >= 2X + 7 = a__from(X)
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