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TRS Conte Sensi 17651 pair #381733415
details
property
value
status
complete
benchmark
Ex5_Zan97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.34360408783 seconds
cpu usage
3.181992953
max memory
2.0293632E8
stage attributes
key
value
output-size
3902
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 59 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5)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: f(X) -> if(X, c, f(true)) if(true, X, Y) -> X if(false, X, Y) -> Y The replacement map contains the following entries: f: {1} if: {1, 2} c: empty set true: empty set false: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(X) -> if(X, c, f(true)) if(true, X, Y) -> X if(false, X, Y) -> Y The replacement map contains the following entries: f: {1} if: {1, 2} c: empty set true: empty set false: empty set Used ordering: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(f(x_1)) = [[1], [1]] + [[1, 0], [1, 0]] * x_1 >>> <<< POL(if(x_1, x_2, x_3)) = [[0], [0]] + [[1, 0], [1, 0]] * x_1 + [[1, 1], [1, 1]] * x_2 + [[1, 0], [0, 1]] * x_3 >>> <<< POL(c) = [[0], [0]] >>> <<< POL(true) = [[0], [1]] >>> <<< POL(false) = [[1], [1]] >>> With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: if(false, X, Y) -> Y ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(X) -> if(X, c, f(true)) if(true, X, Y) -> X
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