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TRS Equat 89423 pair #381732617
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
n050.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.03158998489 seconds
cpu usage
13.241481506
max memory
9.13461248E8
stage attributes
key
value
output-size
32682
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given ETRS could be disproven: (0) ETRS (1) RRRPoloETRSProof [EQUIVALENT, 194 ms] (2) ETRS (3) RRRPoloETRSProof [EQUIVALENT, 67 ms] (4) ETRS (5) RRRPoloETRSProof [EQUIVALENT, 48 ms] (6) ETRS (7) RRRPoloETRSProof [EQUIVALENT, 36 ms] (8) ETRS (9) RRRPoloETRSProof [EQUIVALENT, 34 ms] (10) ETRS (11) RRRPoloETRSProof [EQUIVALENT, 30 ms] (12) ETRS (13) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] (14) EDP (15) EDependencyGraphProof [EQUIVALENT, 0 ms] (16) EDP (17) EUsableRulesReductionPairsProof [EQUIVALENT, 15 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, 0 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
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