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TRS Standard pair #487066643
details
property
value
status
complete
benchmark
double.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
AProVE_10
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.8854 seconds
cpu usage
36.4332
user time
34.9558
system time
1.47742
max virtual memory
3.7284032E7
max residence set size
3858136.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 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) MNOCProof [EQUIVALENT, 0 ms] (16) QDP (17) NonLoopProof [COMPLETE, 53 ms] (18) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(isDouble(x), s(s(x))) isDouble(s(s(x))) -> isDouble(x) isDouble(0) -> tt Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is isDouble(s(s(x))) -> isDouble(x) isDouble(0) -> tt The TRS R 2 is f(tt, x) -> f(isDouble(x), s(s(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(isDouble(x), s(s(x))) isDouble(s(s(x))) -> isDouble(x) isDouble(0) -> tt The set Q consists of the following terms: f(tt, x0) isDouble(s(s(x0))) isDouble(0) ---------------------------------------- (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(isDouble(x), s(s(x))) F(tt, x) -> ISDOUBLE(x) ISDOUBLE(s(s(x))) -> ISDOUBLE(x) The TRS R consists of the following rules: f(tt, x) -> f(isDouble(x), s(s(x))) isDouble(s(s(x))) -> isDouble(x) isDouble(0) -> tt The set Q consists of the following terms: f(tt, x0) isDouble(s(s(x0))) isDouble(0) We have to consider all minimal (P,Q,R)-chains. ----------------------------------------
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