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TRS Standard pair #516962005
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
11.1774799824 seconds
cpu usage
14.841683173
max memory
9.54986496E8
stage attributes
key
value
output-size
107496
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 168 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 79 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 42 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 24 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 19 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 13 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 25 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 34 ms] (18) CSR (19) CSDependencyPairsProof [EQUIVALENT, 50 ms] (20) QCSDP (21) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (22) AND (23) QCSDP (24) QCSUsableRulesProof [EQUIVALENT, 0 ms] (25) QCSDP (26) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (27) QCSDP (28) QCSDPSubtermProof [EQUIVALENT, 0 ms] (29) QCSDP (30) PIsEmptyProof [EQUIVALENT, 0 ms] (31) YES (32) QCSDP (33) QCSDPSubtermProof [EQUIVALENT, 8 ms] (34) QCSDP (35) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (36) TRUE (37) QCSDP (38) QCSUsableRulesProof [EQUIVALENT, 0 ms] (39) QCSDP (40) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (41) QCSDP (42) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (43) TRUE (44) QCSDP (45) QCSDPReductionPairProof [EQUIVALENT, 21 ms] (46) QCSDP (47) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (48) TRUE (49) QCSDP (50) QCSUsableRulesProof [EQUIVALENT, 0 ms] (51) QCSDP (52) QCSDPMuMonotonicPoloProof [EQUIVALENT, 12 ms] (53) QCSDP (54) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (55) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(zeros) -> mark(cons(0, zeros)) active(U11(tt, V1)) -> mark(U12(isNatIListKind(V1), V1)) active(U12(tt, V1)) -> mark(U13(isNatList(V1))) active(U13(tt)) -> mark(tt) active(U21(tt, V1)) -> mark(U22(isNatKind(V1), V1)) active(U22(tt, V1)) -> mark(U23(isNat(V1))) active(U23(tt)) -> mark(tt) active(U31(tt, V)) -> mark(U32(isNatIListKind(V), V)) active(U32(tt, V)) -> mark(U33(isNatList(V))) active(U33(tt)) -> mark(tt) active(U41(tt, V1, V2)) -> mark(U42(isNatKind(V1), V1, V2)) active(U42(tt, V1, V2)) -> mark(U43(isNatIListKind(V2), V1, V2)) active(U43(tt, V1, V2)) -> mark(U44(isNatIListKind(V2), V1, V2)) active(U44(tt, V1, V2)) -> mark(U45(isNat(V1), V2)) active(U45(tt, V2)) -> mark(U46(isNatIList(V2))) active(U46(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isNatIListKind(V2))) active(U52(tt)) -> mark(tt) active(U61(tt)) -> mark(tt) active(U71(tt)) -> mark(tt) active(U81(tt, V1, V2)) -> mark(U82(isNatKind(V1), V1, V2)) active(U82(tt, V1, V2)) -> mark(U83(isNatIListKind(V2), V1, V2))
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