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TRS Conte Sensi 17651 pair #381733342
details
property
value
status
complete
benchmark
LISTUTILITIES_nosorts-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.66388106346 seconds
cpu usage
4.186728179
max memory
2.52207104E8
stage attributes
key
value
output-size
19095
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRInnermostProof [EQUIVALENT, 0 ms] (2) CSR (3) CSDependencyPairsProof [EQUIVALENT, 15 ms] (4) QCSDP (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QCSDP (8) QCSDPSubtermProof [EQUIVALENT, 0 ms] (9) QCSDP (10) PIsEmptyProof [EQUIVALENT, 0 ms] (11) YES (12) QCSDP (13) QCSDPSubtermProof [EQUIVALENT, 0 ms] (14) QCSDP (15) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (16) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, N, XS) -> U12(tt, N, XS) U12(tt, N, XS) -> snd(splitAt(N, XS)) U21(tt, X) -> U22(tt, X) U22(tt, X) -> X U31(tt, N) -> U32(tt, N) U32(tt, N) -> N U41(tt, N, XS) -> U42(tt, N, XS) U42(tt, N, XS) -> head(afterNth(N, XS)) U51(tt, Y) -> U52(tt, Y) U52(tt, Y) -> Y U61(tt, N, X, XS) -> U62(tt, N, X, XS) U62(tt, N, X, XS) -> U63(tt, N, X, XS) U63(tt, N, X, XS) -> U64(splitAt(N, XS), X) U64(pair(YS, ZS), X) -> pair(cons(X, YS), ZS) U71(tt, XS) -> U72(tt, XS) U72(tt, XS) -> XS U81(tt, N, XS) -> U82(tt, N, XS) U82(tt, N, XS) -> fst(splitAt(N, XS)) afterNth(N, XS) -> U11(tt, N, XS) fst(pair(X, Y)) -> U21(tt, X) head(cons(N, XS)) -> U31(tt, N) natsFrom(N) -> cons(N, natsFrom(s(N))) sel(N, XS) -> U41(tt, N, XS) snd(pair(X, Y)) -> U51(tt, Y) splitAt(0, XS) -> pair(nil, XS) splitAt(s(N), cons(X, XS)) -> U61(tt, N, X, XS) tail(cons(N, XS)) -> U71(tt, XS) take(N, XS) -> U81(tt, N, XS) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} snd: {1} splitAt: {1, 2} U21: {1} U22: {1} U31: {1} U32: {1} U41: {1} U42: {1} head: {1} afterNth: {1, 2} U51: {1} U52: {1} U61: {1} U62: {1} U63: {1} U64: {1} pair: {1, 2} cons: {1} U71: {1} U72: {1} U81: {1} U82: {1} fst: {1} natsFrom: {1} s: {1} sel: {1, 2} 0: empty set
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