Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Context Sensitive pair #516978779
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n120.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
1.92546916008 seconds
cpu usage
4.94750965
max memory
4.70511616E8
stage attributes
key
value
output-size
3831
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 62 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 7 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(0) -> cons(0, f(s(0))) f(s(0)) -> f(p(s(0))) p(s(0)) -> 0 The replacement map contains the following entries: f: {1} 0: empty set cons: {1} s: {1} p: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(0) -> cons(0, f(s(0))) f(s(0)) -> f(p(s(0))) p(s(0)) -> 0 The replacement map contains the following entries: f: {1} 0: empty set cons: {1} s: {1} p: {1} Used ordering: Polynomial interpretation [POLO]: POL(0) = 1 POL(cons(x_1, x_2)) = 1 + x_1 POL(f(x_1)) = 1 + x_1 POL(p(x_1)) = x_1 POL(s(x_1)) = 1 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: p(s(0)) -> 0 ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(0) -> cons(0, f(s(0))) f(s(0)) -> f(p(s(0))) The replacement map contains the following entries: f: {1} 0: empty set cons: {1} s: {1} p: {1} ---------------------------------------- (3) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(0) -> cons(0, f(s(0)))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Context Sensitive