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TRS Standard pair #516962714
details
property
value
status
complete
benchmark
Ex2_Luc03b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.64717316628 seconds
cpu usage
12.215369441
max memory
4.63765504E8
stage attributes
key
value
output-size
53045
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(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) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [mark](x0) = [0 1 1]x0 [0 0 0] , [1 0 1] [1 0 1] [add](x0, x1) = [0 0 0]x0 + [0 1 1]x1 [0 1 1] [1 0 1] , [1 0 1] [1 0 1] [1] [fst](x0, x1) = [0 1 1]x0 + [0 0 0]x1 + [0] [0 1 1] [0 1 1] [0], [0] [nil] = [1] [0], [1 0 0] [s](x0) = [0 1 1]x0 [0 0 0] , [1] [0] = [1] [0], [1 0 1] [from](x0) = [0 0 0]x0 [1 0 1] , [1 0 1] [0] [len](x0) = [0 0 0]x0 + [0] [0 1 1] [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] [active](x0) = [0 1 1]x0 [0 0 0] orientation: [1 1 2] [3] [0] active(fst(0(),Z)) = [0 1 1]Z + [2] >= [1] = mark(nil()) [0 0 0] [0] [0] [1 1 1] [1 0 1] [1 1 1] [1] [1 0 1] [1 0 1] [1 0 1] [1] active(fst(s(X),cons(Y,Z))) = [0 2 2]X + [0 0 0]Y + [0 1 1]Z + [0] >= [0 2 2]X + [0 0 0]Y + [0 1 1]Z + [0] = mark(cons(Y,fst(X,Z))) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [0] [2 0 2] [2 0 1] active(from(X)) = [1 0 1]X >= [1 0 0]X = mark(cons(X,from(s(X)))) [0 0 0] [0 0 0] [2 0 2] [2] [1 0 1]
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