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TRS Conte Sensi 17651 pair #381733357
details
property
value
status
complete
benchmark
Ex14_AEGL02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.37516903877 seconds
cpu usage
3.217920029
max memory
2.06196736E8
stage attributes
key
value
output-size
4126
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 61 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5)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: from(X) -> cons(X, from(s(X))) length(nil) -> 0 length(cons(X, Y)) -> s(length1(Y)) length1(X) -> length(X) The replacement map contains the following entries: from: {1} cons: {1} s: {1} length: empty set nil: empty set 0: empty set length1: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: from(X) -> cons(X, from(s(X))) length(nil) -> 0 length(cons(X, Y)) -> s(length1(Y)) length1(X) -> length(X) The replacement map contains the following entries: from: {1} cons: {1} s: {1} length: empty set nil: empty set 0: empty set length1: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(cons(x_1, x_2)) = x_1 POL(from(x_1)) = 1 + 2*x_1 POL(length(x_1)) = 0 POL(length1(x_1)) = 0 POL(nil) = 2 POL(s(x_1)) = 2*x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: from(X) -> cons(X, from(s(X))) ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: length(nil) -> 0 length(cons(X, Y)) -> s(length1(Y)) length1(X) -> length(X) The replacement map contains the following entries: cons: {1} s: {1} length: empty set nil: empty set
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