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TRS Conte Sensi 17651 pair #381733386
details
property
value
status
complete
benchmark
OvConsOS_nosorts-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.54976797104 seconds
cpu usage
3.694211836
max memory
1.95289088E8
stage attributes
key
value
output-size
6394
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be disproven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 40 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) ContextSensitiveLoopProof [COMPLETE, 0 ms] (6) NO ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt, L) -> U12(tt, L) U12(tt, L) -> s(length(L)) U21(tt, IL, M, N) -> U22(tt, IL, M, N) U22(tt, IL, M, N) -> U23(tt, IL, M, N) U23(tt, IL, M, N) -> cons(N, take(M, IL)) length(nil) -> 0 length(cons(N, L)) -> U11(tt, L) take(0, IL) -> nil take(s(M), cons(N, IL)) -> U21(tt, IL, M, N) The replacement map contains the following entries: zeros: empty set cons: {1} 0: empty set U11: {1} tt: empty set U12: {1} s: {1} length: {1} U21: {1} U22: {1} U23: {1} take: {1, 2} nil: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt, L) -> U12(tt, L) U12(tt, L) -> s(length(L)) U21(tt, IL, M, N) -> U22(tt, IL, M, N) U22(tt, IL, M, N) -> U23(tt, IL, M, N) U23(tt, IL, M, N) -> cons(N, take(M, IL)) length(nil) -> 0 length(cons(N, L)) -> U11(tt, L) take(0, IL) -> nil take(s(M), cons(N, IL)) -> U21(tt, IL, M, N) The replacement map contains the following entries: zeros: empty set cons: {1} 0: empty set U11: {1} tt: empty set U12: {1} s: {1} length: {1} U21: {1} U22: {1} U23: {1} take: {1, 2} nil: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(U11(x_1, x_2)) = x_1 + x_2 POL(U12(x_1, x_2)) = x_1 + x_2 POL(U21(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 POL(U22(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 POL(U23(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 POL(cons(x_1, x_2)) = x_1 + x_2 POL(length(x_1)) = 1 + x_1 POL(nil) = 1
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