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	AProVE21
configuration	standard
runtime (wallclock)	1.90531396866 seconds
cpu usage	5.070552703
max memory	4.75410432E8

stage attributes

key	value
output-size	4129
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 48 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof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 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Context Sensitive