Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Conte Sensi 17651 pair #381733411
details
property
value
status
complete
benchmark
Ex9_BLR02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.4441280365 seconds
cpu usage
3.335682293
max memory
2.15011328E8
stage attributes
key
value
output-size
6062
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 35 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 7 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: filter(cons(X, Y), 0, M) -> cons(0, filter(Y, M, M)) filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M)) sieve(cons(0, Y)) -> cons(0, sieve(Y)) sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N))) nats(N) -> cons(N, nats(s(N))) zprimes -> sieve(nats(s(s(0)))) The replacement map contains the following entries: filter: {1, 2, 3} cons: {1} 0: empty set s: {1} sieve: {1} nats: {1} zprimes: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: filter(cons(X, Y), 0, M) -> cons(0, filter(Y, M, M)) filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M)) sieve(cons(0, Y)) -> cons(0, sieve(Y)) sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N))) nats(N) -> cons(N, nats(s(N))) zprimes -> sieve(nats(s(s(0)))) The replacement map contains the following entries: filter: {1, 2, 3} cons: {1} 0: empty set s: {1} sieve: {1} nats: {1} zprimes: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(cons(x_1, x_2)) = x_1 POL(filter(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(nats(x_1)) = x_1 POL(s(x_1)) = x_1 POL(sieve(x_1)) = 1 + x_1 POL(zprimes) = 1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: sieve(cons(0, Y)) -> cons(0, sieve(Y)) sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N))) ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: filter(cons(X, Y), 0, M) -> cons(0, filter(Y, M, M)) filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M)) nats(N) -> cons(N, nats(s(N)))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Conte Sensi 17651