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TRS Conte Sensi 17651 pair #381733221
details
property
value
status
complete
benchmark
MYNAT_nosorts-noand-peanoSimple.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.3638021946 seconds
cpu usage
3.36424412
max memory
2.0893696E8
stage attributes
key
value
output-size
4168
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 59 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, M, N) -> U12(tt, M, N) U12(tt, M, N) -> s(plus(N, M)) plus(N, 0) -> N plus(N, s(M)) -> U11(tt, M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} s: {1} plus: {1, 2} 0: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, M, N) -> U12(tt, M, N) U12(tt, M, N) -> s(plus(N, M)) plus(N, 0) -> N plus(N, s(M)) -> U11(tt, M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} s: {1} plus: {1, 2} 0: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 2 POL(U11(x_1, x_2, x_3)) = x_1 + 2*x_2 + 2*x_3 POL(U12(x_1, x_2, x_3)) = x_1 + 2*x_2 + 2*x_3 POL(plus(x_1, x_2)) = 2*x_1 + 2*x_2 POL(s(x_1)) = x_1 POL(tt) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: plus(N, 0) -> N ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, M, N) -> U12(tt, M, N) U12(tt, M, N) -> s(plus(N, M)) plus(N, s(M)) -> U11(tt, M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} s: {1} plus: {1, 2} ----------------------------------------
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