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TRS Standard pair #487067263
details
property
value
status
complete
benchmark
emmes-nonloop-ex6_1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.9679 seconds
cpu usage
30.4736
user time
29.808
system time
0.665629
max virtual memory
3.7133732E7
max residence set size
1061384.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 10 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, 136 ms] (25) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, xs) -> f(isList(xs), append(cons(a, nil), xs)) isList(nil) -> true isList(cons(x, xs)) -> isList(xs) append(nil, ys) -> ys append(cons(x, xs), ys) -> cons(x, append(xs, ys)) Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is isList(nil) -> true isList(cons(x, xs)) -> isList(xs) append(nil, ys) -> ys append(cons(x, xs), ys) -> cons(x, append(xs, ys)) The TRS R 2 is f(true, xs) -> f(isList(xs), append(cons(a, nil), xs)) The signature Sigma is {f_2} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, xs) -> f(isList(xs), append(cons(a, nil), xs)) isList(nil) -> true isList(cons(x, xs)) -> isList(xs) append(nil, ys) -> ys append(cons(x, xs), ys) -> cons(x, append(xs, ys)) The set Q consists of the following terms: f(true, x0) isList(nil) isList(cons(x0, x1)) append(nil, x0) append(cons(x0, x1), x2) ---------------------------------------- (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(true, xs) -> F(isList(xs), append(cons(a, nil), xs)) F(true, xs) -> ISLIST(xs) F(true, xs) -> APPEND(cons(a, nil), xs) ISLIST(cons(x, xs)) -> ISLIST(xs)
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