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TRS Stand 20472 pair #381717067
details
property
value
status
complete
benchmark
ExSec4_2_DLMMU04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.90099000931 seconds
cpu usage
4.407907219
max memory
2.19619328E8
stage attributes
key
value
output-size
18799
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRInnermostProof [EQUIVALENT, 0 ms]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, 17 ms] (11) QCSDP (12) PIsEmptyProof [EQUIVALENT, 0 ms] (13) YES (14) QCSDP (15) QCSDPSubtermProof [EQUIVALENT, 8 ms] (16) QCSDP (17) PIsEmptyProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(natsFrom(N)) -> mark(cons(N, natsFrom(s(N)))) active(fst(pair(XS, YS))) -> mark(XS) active(snd(pair(XS, YS))) -> mark(YS) active(splitAt(0, XS)) -> mark(pair(nil, XS)) active(splitAt(s(N), cons(X, XS))) -> mark(u(splitAt(N, XS), N, X, XS)) active(u(pair(YS, ZS), N, X, XS)) -> mark(pair(cons(X, YS), ZS)) active(head(cons(N, XS))) -> mark(N) active(tail(cons(N, XS))) -> mark(XS) active(sel(N, XS)) -> mark(head(afterNth(N, XS))) active(take(N, XS)) -> mark(fst(splitAt(N, XS))) active(afterNth(N, XS)) -> mark(snd(splitAt(N, XS))) active(natsFrom(X)) -> natsFrom(active(X)) active(cons(X1, X2)) -> cons(active(X1), X2) active(s(X)) -> s(active(X)) active(fst(X)) -> fst(active(X)) active(pair(X1, X2)) -> pair(active(X1), X2) active(pair(X1, X2)) -> pair(X1, active(X2)) active(snd(X)) -> snd(active(X)) active(splitAt(X1, X2)) -> splitAt(active(X1), X2) active(splitAt(X1, X2)) -> splitAt(X1, active(X2)) active(u(X1, X2, X3, X4)) -> u(active(X1), X2, X3, X4) active(head(X)) -> head(active(X)) active(tail(X)) -> tail(active(X)) active(sel(X1, X2)) -> sel(active(X1), X2) active(sel(X1, X2)) -> sel(X1, active(X2)) active(afterNth(X1, X2)) -> afterNth(active(X1), X2) active(afterNth(X1, X2)) -> afterNth(X1, active(X2)) active(take(X1, X2)) -> take(active(X1), X2) active(take(X1, X2)) -> take(X1, active(X2)) natsFrom(mark(X)) -> mark(natsFrom(X)) cons(mark(X1), X2) -> mark(cons(X1, X2)) s(mark(X)) -> mark(s(X)) fst(mark(X)) -> mark(fst(X)) pair(mark(X1), X2) -> mark(pair(X1, X2)) pair(X1, mark(X2)) -> mark(pair(X1, X2)) snd(mark(X)) -> mark(snd(X)) splitAt(mark(X1), X2) -> mark(splitAt(X1, X2)) splitAt(X1, mark(X2)) -> mark(splitAt(X1, X2)) u(mark(X1), X2, X3, X4) -> mark(u(X1, X2, X3, X4)) head(mark(X)) -> mark(head(X)) tail(mark(X)) -> mark(tail(X)) sel(mark(X1), X2) -> mark(sel(X1, X2)) sel(X1, mark(X2)) -> mark(sel(X1, X2)) afterNth(mark(X1), X2) -> mark(afterNth(X1, X2)) afterNth(X1, mark(X2)) -> mark(afterNth(X1, X2)) take(mark(X1), X2) -> mark(take(X1, X2)) take(X1, mark(X2)) -> mark(take(X1, X2)) proper(natsFrom(X)) -> natsFrom(proper(X)) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) proper(s(X)) -> s(proper(X)) proper(fst(X)) -> fst(proper(X)) proper(pair(X1, X2)) -> pair(proper(X1), proper(X2)) proper(snd(X)) -> snd(proper(X)) proper(splitAt(X1, X2)) -> splitAt(proper(X1), proper(X2)) proper(0) -> ok(0) proper(nil) -> ok(nil) proper(u(X1, X2, X3, X4)) -> u(proper(X1), proper(X2), proper(X3), proper(X4)) proper(head(X)) -> head(proper(X)) proper(tail(X)) -> tail(proper(X))
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