Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381710973
details
property
value
status
complete
benchmark
enger-nonloop-add.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.197892189 seconds
cpu usage
35.081757746
max memory
2.277773312E9
stage attributes
key
value
output-size
13787
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 22 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) MNOCProof [EQUIVALENT, 0 ms] (23) QDP (24) NonLoopProof [COMPLETE, 1115 ms] (25) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: add(true, x, xs) -> add(and(isNat(x), isList(xs)), x, Cons(x, xs)) isList(Cons(x, xs)) -> isList(xs) isList(nil) -> true isNat(s(x)) -> isNat(x) isNat(0) -> true and(true, true) -> true and(false, x) -> false and(x, false) -> false 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) -> true isNat(s(x)) -> isNat(x) isNat(0) -> true and(true, true) -> true and(false, x) -> false and(x, false) -> false The TRS R 2 is add(true, x, xs) -> add(and(isNat(x), isList(xs)), x, Cons(x, xs)) The signature Sigma is {add_3} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: add(true, x, xs) -> add(and(isNat(x), isList(xs)), x, Cons(x, xs)) isList(Cons(x, xs)) -> isList(xs) isList(nil) -> true isNat(s(x)) -> isNat(x) isNat(0) -> true and(true, true) -> true and(false, x) -> false and(x, false) -> false The set Q consists of the following terms: add(true, x0, x1) isList(Cons(x0, x1)) isList(nil) isNat(s(x0)) isNat(0) and(true, true) and(false, x0)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472