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TRS Stand 20472 pair #381715569
details
property
value
status
complete
benchmark
Ex6_Luc98_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.04154896736 seconds
cpu usage
6.118635607
max memory
3.39976192E8
stage attributes
key
value
output-size
29651
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: active(first(0(),X)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(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) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [from](x0) = [0 1 1]x0 [1 0 1] , [1 0 1] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 1 1]x1 [0 0 0] [0 0 0] , [1 0 1] [s](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [mark](x0) = [0 1 1]x0 [0 0 0] , [0] [nil] = [0] [0], [1 0 1] [active](x0) = [0 1 1]x0 [0 0 0] , [1 0 1] [1 0 1] [first](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 1 1] , [1] [0] = [0] [0] orientation: [1 1 2] [1] [0] active(first(0(),X)) = [0 1 1]X + [0] >= [0] = mark(nil()) [0 0 0] [0] [0] [1 0 1] [1 0 1] [1 1 1] [1 0 1] [1 0 1] [1 0 1] active(first(s(X),cons(Y,Z))) = [0 0 0]X + [0 0 0]Y + [0 1 1]Z >= [0 0 0]X + [0 0 0]Y + [0 1 1]Z = mark(cons(Y,first(X,Z))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [2 0 2] [2 0 2] active(from(X)) = [1 1 2]X >= [1 0 1]X = mark(cons(X,from(s(X)))) [0 0 0] [0 0 0] [1 0 1] [1 1 2] [1 0 1] [1 1 2] mark(first(X1,X2)) = [0 0 0]X1 + [0 1 1]X2 >= [0 0 0]X1 + [0 1 1]X2 = active(first(mark(X1),mark(X2))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1] [1] mark(0()) = [0] >= [0] = active(0()) [0] [0] [0] [0] mark(nil()) = [0] >= [0] = active(nil()) [0] [0] [1 0 1] [1 0 1] mark(s(X)) = [0 0 0]X >= [0 0 0]X = active(s(mark(X))) [0 0 0] [0 0 0] [1 0 1] [1 0 0] [1 0 1] [1 0 0] mark(cons(X1,X2)) = [0 0 0]X1 + [0 1 1]X2 >= [0 0 0]X1 + [0 1 1]X2 = active(cons(mark(X1),X2)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [2 0 2] [2 0 2]
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