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TRS Stand 20472 pair #381716952
details
property
value
status
complete
benchmark
LISTUTILITIES_nosorts_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.78696107864 seconds
cpu usage
4.181198886
max memory
2.37391872E8
stage attributes
key
value
output-size
20772
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRInnermostProof [EQUIVALENT, 0 ms] (4) CSR (5) CSDependencyPairsProof [EQUIVALENT, 0 ms] (6) QCSDP (7) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QCSDP (10) QCSDPSubtermProof [EQUIVALENT, 0 ms] (11) QCSDP (12) PIsEmptyProof [EQUIVALENT, 0 ms] (13) YES (14) QCSDP (15) QCSDPSubtermProof [EQUIVALENT, 0 ms] (16) QCSDP (17) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (18) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U11(tt, N, X, XS)) -> mark(U12(splitAt(N, XS), X)) active(U12(pair(YS, ZS), X)) -> mark(pair(cons(X, YS), ZS)) active(afterNth(N, XS)) -> mark(snd(splitAt(N, XS))) active(and(tt, X)) -> mark(X) active(fst(pair(X, Y))) -> mark(X) active(head(cons(N, XS))) -> mark(N) active(natsFrom(N)) -> mark(cons(N, natsFrom(s(N)))) active(sel(N, XS)) -> mark(head(afterNth(N, XS))) active(snd(pair(X, Y))) -> mark(Y) active(splitAt(0, XS)) -> mark(pair(nil, XS)) active(splitAt(s(N), cons(X, XS))) -> mark(U11(tt, N, X, XS)) active(tail(cons(N, XS))) -> mark(XS) active(take(N, XS)) -> mark(fst(splitAt(N, XS))) active(U11(X1, X2, X3, X4)) -> U11(active(X1), X2, X3, X4) active(U12(X1, X2)) -> U12(active(X1), X2) active(splitAt(X1, X2)) -> splitAt(active(X1), X2) active(splitAt(X1, X2)) -> splitAt(X1, active(X2)) active(pair(X1, X2)) -> pair(active(X1), X2) active(pair(X1, X2)) -> pair(X1, active(X2)) active(cons(X1, X2)) -> cons(active(X1), X2) active(afterNth(X1, X2)) -> afterNth(active(X1), X2) active(afterNth(X1, X2)) -> afterNth(X1, active(X2)) active(snd(X)) -> snd(active(X)) active(and(X1, X2)) -> and(active(X1), X2) active(fst(X)) -> fst(active(X)) active(head(X)) -> head(active(X)) active(natsFrom(X)) -> natsFrom(active(X)) active(s(X)) -> s(active(X)) active(sel(X1, X2)) -> sel(active(X1), X2) active(sel(X1, X2)) -> sel(X1, active(X2)) active(tail(X)) -> tail(active(X)) active(take(X1, X2)) -> take(active(X1), X2) active(take(X1, X2)) -> take(X1, active(X2)) U11(mark(X1), X2, X3, X4) -> mark(U11(X1, X2, X3, X4)) U12(mark(X1), X2) -> mark(U12(X1, X2)) splitAt(mark(X1), X2) -> mark(splitAt(X1, X2)) splitAt(X1, mark(X2)) -> mark(splitAt(X1, X2)) pair(mark(X1), X2) -> mark(pair(X1, X2)) pair(X1, mark(X2)) -> mark(pair(X1, X2)) cons(mark(X1), X2) -> mark(cons(X1, X2)) afterNth(mark(X1), X2) -> mark(afterNth(X1, X2)) afterNth(X1, mark(X2)) -> mark(afterNth(X1, X2)) snd(mark(X)) -> mark(snd(X)) and(mark(X1), X2) -> mark(and(X1, X2)) fst(mark(X)) -> mark(fst(X)) head(mark(X)) -> mark(head(X)) natsFrom(mark(X)) -> mark(natsFrom(X)) s(mark(X)) -> mark(s(X)) sel(mark(X1), X2) -> mark(sel(X1, X2)) sel(X1, mark(X2)) -> mark(sel(X1, X2)) tail(mark(X)) -> mark(tail(X)) take(mark(X1), X2) -> mark(take(X1, X2)) take(X1, mark(X2)) -> mark(take(X1, X2)) proper(U11(X1, X2, X3, X4)) -> U11(proper(X1), proper(X2), proper(X3), proper(X4)) proper(tt) -> ok(tt) proper(U12(X1, X2)) -> U12(proper(X1), proper(X2)) proper(splitAt(X1, X2)) -> splitAt(proper(X1), proper(X2)) proper(pair(X1, X2)) -> pair(proper(X1), proper(X2)) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
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