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TRS Stand 20472 pair #381710126
details
property
value
status
complete
benchmark
isList.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
AProVE_10
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.30375289917 seconds
cpu usage
5.356652549
max memory
3.27815168E8
stage attributes
key
value
output-size
7758
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) UsableRulesProof [EQUIVALENT, 0 ms] (8) QDP (9) QReductionProof [EQUIVALENT, 0 ms] (10) QDP (11) TransformationProof [EQUIVALENT, 0 ms] (12) QDP (13) DependencyGraphProof [EQUIVALENT, 0 ms] (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) ATransformationProof [EQUIVALENT, 0 ms] (20) QDP (21) NonTerminationLoopProof [COMPLETE, 0 ms] (22) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(isList(x), x) isList(Cons(x, xs)) -> isList(xs) isList(nil) -> tt Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is isList(Cons(x, xs)) -> isList(xs) isList(nil) -> tt The TRS R 2 is f(tt, x) -> f(isList(x), x) The signature Sigma is {f_2} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(isList(x), x) isList(Cons(x, xs)) -> isList(xs) isList(nil) -> tt The set Q consists of the following terms: f(tt, x0) isList(Cons(x0, xs)) isList(nil) ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: F(tt, x) -> F(isList(x), x) F(tt, x) -> ISLIST(x) ISLIST(Cons(x, xs)) -> ISLIST(xs) The TRS R consists of the following rules: f(tt, x) -> f(isList(x), x) isList(Cons(x, xs)) -> isList(xs) isList(nil) -> tt
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