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TRS Equational pair #487092812
details
property
value
status
complete
benchmark
RENAMED-BOOL_nosorts.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.81989 seconds
cpu usage
15.9261
user time
15.3858
system time
0.54029
max virtual memory
1.8418736E7
max residence set size
1082192.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be disproven: (0) ETRS (1) RRRPoloETRSProof [EQUIVALENT, 195 ms] (2) ETRS (3) RRRPoloETRSProof [EQUIVALENT, 66 ms] (4) ETRS (5) RRRPoloETRSProof [EQUIVALENT, 58 ms] (6) ETRS (7) RRRPoloETRSProof [EQUIVALENT, 48 ms] (8) ETRS (9) RRRPoloETRSProof [EQUIVALENT, 63 ms] (10) ETRS (11) RRRPoloETRSProof [EQUIVALENT, 31 ms] (12) ETRS (13) EquationalDependencyPairsProof [EQUIVALENT, 10 ms] (14) EDP (15) EDependencyGraphProof [EQUIVALENT, 0 ms] (16) EDP (17) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (18) EDP (19) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (20) QDP (21) TransformationProof [EQUIVALENT, 0 ms] (22) QDP (23) TransformationProof [EQUIVALENT, 0 ms] (24) QDP (25) NonTerminationLoopProof [COMPLETE, 5 ms] (26) NO ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: U11(tt, U', U) -> U12(equal(_isNotEqualTo_(U, U'), true)) U12(tt) -> false U21(tt, B, U') -> U22(equal(_isNotEqualTo_(B, true), true), U') U22(tt, U') -> U' _and_(A, A) -> A _and_(A, _xor_(B, C)) -> _xor_(_and_(A, B), _and_(A, C)) _and_(false, A) -> false _and_(true, A) -> A _implies_(A, B) -> not_(_xor_(A, _and_(A, B))) _isEqualTo_(U, U') -> U11(tt, U', U) _isEqualTo_(U, U) -> true _isNotEqualTo_(U, U') -> if_then_else_fi(_isEqualTo_(U, U'), false, true) _isNotEqualTo_(U, U) -> false _or_(A, B) -> _xor_(_and_(A, B), _xor_(A, B)) _xor_(A, A) -> false _xor_(false, A) -> A and(tt, X) -> X equal(X, X) -> tt if_then_else_fi(B, U, U') -> U21(tt, B, U') if_then_else_fi(true, U, U') -> U not_(A) -> _xor_(A, true) not_(false) -> true not_(true) -> false The set E consists of the following equations: _and_(x, y) == _and_(y, x) _or_(x, y) == _or_(y, x) _xor_(x, y) == _xor_(y, x) _and_(_and_(x, y), z) == _and_(x, _and_(y, z)) _or_(_or_(x, y), z) == _or_(x, _or_(y, z)) _xor_(_xor_(x, y), z) == _xor_(x, _xor_(y, z)) ---------------------------------------- (1) RRRPoloETRSProof (EQUIVALENT) The following E TRS is given: Equational rewrite system: The TRS R consists of the following rules: U11(tt, U', U) -> U12(equal(_isNotEqualTo_(U, U'), true)) U12(tt) -> false U21(tt, B, U') -> U22(equal(_isNotEqualTo_(B, true), true), U') U22(tt, U') -> U' _and_(A, A) -> A _and_(A, _xor_(B, C)) -> _xor_(_and_(A, B), _and_(A, C)) _and_(false, A) -> false _and_(true, A) -> A _implies_(A, B) -> not_(_xor_(A, _and_(A, B))) _isEqualTo_(U, U') -> U11(tt, U', U) _isEqualTo_(U, U) -> true _isNotEqualTo_(U, U') -> if_then_else_fi(_isEqualTo_(U, U'), false, true) _isNotEqualTo_(U, U) -> false _or_(A, B) -> _xor_(_and_(A, B), _xor_(A, B)) _xor_(A, A) -> false _xor_(false, A) -> A and(tt, X) -> X
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