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TRS_Contextsensitive 2019-03-21 05.07 pair #429997007
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
n055.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.37086 seconds
cpu usage
3.39013
user time
3.22564
system time
0.164498
max virtual memory
1.8341532E7
max residence set size
208528.0
stage attributes
key
value
starexec-result
YES
output
3.32/2.29 YES 3.34/2.30 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.34/2.30 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.34/2.30 3.34/2.30 3.34/2.30 Termination of the given CSR could be proven: 3.34/2.30 3.34/2.30 (0) CSR 3.34/2.30 (1) CSRRRRProof [EQUIVALENT, 48 ms] 3.34/2.30 (2) CSR 3.34/2.30 (3) CSRRRRProof [EQUIVALENT, 0 ms] 3.34/2.30 (4) CSR 3.34/2.30 (5) CSRRRRProof [EQUIVALENT, 7 ms] 3.34/2.30 (6) CSR 3.34/2.30 (7) RisEmptyProof [EQUIVALENT, 0 ms] 3.34/2.30 (8) YES 3.34/2.30 3.34/2.30 3.34/2.30 ---------------------------------------- 3.34/2.30 3.34/2.30 (0) 3.34/2.30 Obligation: 3.34/2.30 Context-sensitive rewrite system: 3.34/2.30 The TRS R consists of the following rules: 3.34/2.30 3.34/2.30 f(0) -> cons(0, f(s(0))) 3.34/2.30 f(s(0)) -> f(p(s(0))) 3.34/2.30 p(s(0)) -> 0 3.34/2.30 3.34/2.30 The replacement map contains the following entries: 3.34/2.30 3.34/2.30 f: {1} 3.34/2.30 0: empty set 3.34/2.30 cons: {1} 3.34/2.30 s: {1} 3.34/2.30 p: {1} 3.34/2.30 3.34/2.30 ---------------------------------------- 3.34/2.30 3.34/2.30 (1) CSRRRRProof (EQUIVALENT) 3.34/2.30 The following CSR is given: Context-sensitive rewrite system: 3.34/2.30 The TRS R consists of the following rules: 3.34/2.30 3.34/2.30 f(0) -> cons(0, f(s(0))) 3.34/2.30 f(s(0)) -> f(p(s(0))) 3.34/2.30 p(s(0)) -> 0 3.34/2.30 3.34/2.30 The replacement map contains the following entries: 3.34/2.30 3.34/2.30 f: {1} 3.34/2.30 0: empty set 3.34/2.30 cons: {1} 3.34/2.30 s: {1} 3.34/2.30 p: {1} 3.34/2.30 Used ordering: 3.34/2.30 Polynomial interpretation [POLO]: 3.34/2.30 3.34/2.30 POL(0) = 1 3.34/2.30 POL(cons(x_1, x_2)) = 1 + x_1 3.34/2.30 POL(f(x_1)) = 1 + x_1 3.34/2.30 POL(p(x_1)) = x_1 3.34/2.30 POL(s(x_1)) = 1 + x_1 3.34/2.30 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3.34/2.30 3.34/2.30 p(s(0)) -> 0 3.34/2.30 3.34/2.30 3.34/2.30 3.34/2.30 3.34/2.30 ---------------------------------------- 3.34/2.30 3.34/2.30 (2) 3.34/2.30 Obligation: 3.34/2.30 Context-sensitive rewrite system: 3.34/2.30 The TRS R consists of the following rules: 3.34/2.30 3.34/2.30 f(0) -> cons(0, f(s(0))) 3.34/2.30 f(s(0)) -> f(p(s(0))) 3.34/2.30 3.34/2.30 The replacement map contains the following entries: 3.34/2.30 3.34/2.30 f: {1} 3.34/2.30 0: empty set 3.34/2.30 cons: {1} 3.34/2.30 s: {1} 3.34/2.30 p: {1} 3.34/2.30 3.34/2.30 ---------------------------------------- 3.34/2.30 3.34/2.30 (3) CSRRRRProof (EQUIVALENT) 3.34/2.30 The following CSR is given: Context-sensitive rewrite system: 3.34/2.30 The TRS R consists of the following rules: 3.34/2.30 3.34/2.30 f(0) -> cons(0, f(s(0))) 3.34/2.30 f(s(0)) -> f(p(s(0))) 3.34/2.30 3.34/2.30 The replacement map contains the following entries: 3.34/2.30 3.34/2.30 f: {1} 3.34/2.30 0: empty set
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