Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS_Equational 2019-03-21 05.09 pair #429997291
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
n165.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.16603 seconds
cpu usage
12.9093
user time
12.4625
system time
0.446855
max virtual memory
1.8424648E7
max residence set size
912032.0
stage attributes
key
value
starexec-result
NO
output
12.70/6.10 NO 12.70/6.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 12.70/6.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.70/6.12 12.70/6.12 12.70/6.12 Termination of the given ETRS could be disproven: 12.70/6.12 12.70/6.12 (0) ETRS 12.70/6.12 (1) RRRPoloETRSProof [EQUIVALENT, 220 ms] 12.70/6.12 (2) ETRS 12.70/6.12 (3) RRRPoloETRSProof [EQUIVALENT, 62 ms] 12.70/6.12 (4) ETRS 12.70/6.12 (5) RRRPoloETRSProof [EQUIVALENT, 56 ms] 12.70/6.12 (6) ETRS 12.70/6.12 (7) RRRPoloETRSProof [EQUIVALENT, 36 ms] 12.70/6.12 (8) ETRS 12.70/6.12 (9) RRRPoloETRSProof [EQUIVALENT, 32 ms] 12.70/6.12 (10) ETRS 12.70/6.12 (11) RRRPoloETRSProof [EQUIVALENT, 39 ms] 12.70/6.12 (12) ETRS 12.70/6.12 (13) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] 12.70/6.12 (14) EDP 12.70/6.12 (15) EDependencyGraphProof [EQUIVALENT, 0 ms] 12.70/6.12 (16) EDP 12.70/6.12 (17) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 12.70/6.12 (18) EDP 12.70/6.12 (19) EDPProblemToQDPProblemProof [EQUIVALENT, 4 ms] 12.70/6.12 (20) QDP 12.70/6.12 (21) TransformationProof [EQUIVALENT, 0 ms] 12.70/6.12 (22) QDP 12.70/6.12 (23) TransformationProof [EQUIVALENT, 0 ms] 12.70/6.12 (24) QDP 12.70/6.12 (25) NonTerminationLoopProof [COMPLETE, 0 ms] 12.70/6.12 (26) NO 12.70/6.12 12.70/6.12 12.70/6.12 ---------------------------------------- 12.70/6.12 12.70/6.12 (0) 12.70/6.12 Obligation: 12.70/6.12 Equational rewrite system: 12.70/6.12 The TRS R consists of the following rules: 12.70/6.12 12.70/6.12 U11(tt, U', U) -> U12(equal(_isNotEqualTo_(U, U'), true)) 12.70/6.12 U12(tt) -> false 12.70/6.12 U21(tt, B, U') -> U22(equal(_isNotEqualTo_(B, true), true), U') 12.70/6.12 U22(tt, U') -> U' 12.70/6.12 _and_(A, A) -> A 12.70/6.12 _and_(A, _xor_(B, C)) -> _xor_(_and_(A, B), _and_(A, C)) 12.70/6.12 _and_(false, A) -> false 12.70/6.12 _and_(true, A) -> A 12.70/6.12 _implies_(A, B) -> not_(_xor_(A, _and_(A, B))) 12.70/6.12 _isEqualTo_(U, U') -> U11(tt, U', U) 12.70/6.12 _isEqualTo_(U, U) -> true 12.70/6.12 _isNotEqualTo_(U, U') -> if_then_else_fi(_isEqualTo_(U, U'), false, true) 12.70/6.12 _isNotEqualTo_(U, U) -> false 12.70/6.12 _or_(A, B) -> _xor_(_and_(A, B), _xor_(A, B)) 12.70/6.12 _xor_(A, A) -> false 12.70/6.12 _xor_(false, A) -> A 12.70/6.12 and(tt, X) -> X 12.70/6.12 equal(X, X) -> tt 12.70/6.12 if_then_else_fi(B, U, U') -> U21(tt, B, U') 12.70/6.12 if_then_else_fi(true, U, U') -> U 12.70/6.12 not_(A) -> _xor_(A, true) 12.70/6.12 not_(false) -> true 12.70/6.12 not_(true) -> false 12.70/6.12 12.70/6.12 The set E consists of the following equations: 12.70/6.12 12.70/6.12 _and_(x, y) == _and_(y, x) 12.70/6.12 _or_(x, y) == _or_(y, x) 12.70/6.12 _xor_(x, y) == _xor_(y, x) 12.70/6.12 _and_(_and_(x, y), z) == _and_(x, _and_(y, z)) 12.70/6.12 _or_(_or_(x, y), z) == _or_(x, _or_(y, z)) 12.70/6.12 _xor_(_xor_(x, y), z) == _xor_(x, _xor_(y, z)) 12.70/6.12 12.70/6.12 12.70/6.12 ---------------------------------------- 12.70/6.12 12.70/6.12 (1) RRRPoloETRSProof (EQUIVALENT) 12.70/6.12 The following E TRS is given: Equational rewrite system: 12.70/6.12 The TRS R consists of the following rules: 12.70/6.12 12.70/6.12 U11(tt, U', U) -> U12(equal(_isNotEqualTo_(U, U'), true)) 12.70/6.12 U12(tt) -> false 12.70/6.12 U21(tt, B, U') -> U22(equal(_isNotEqualTo_(B, true), true), U') 12.70/6.12 U22(tt, U') -> U' 12.70/6.12 _and_(A, A) -> A 12.70/6.12 _and_(A, _xor_(B, C)) -> _xor_(_and_(A, B), _and_(A, C)) 12.70/6.12 _and_(false, A) -> false 12.70/6.12 _and_(true, A) -> A 12.70/6.12 _implies_(A, B) -> not_(_xor_(A, _and_(A, B))) 12.70/6.12 _isEqualTo_(U, U') -> U11(tt, U', U) 12.70/6.12 _isEqualTo_(U, U) -> true 12.70/6.12 _isNotEqualTo_(U, U') -> if_then_else_fi(_isEqualTo_(U, U'), false, true) 12.70/6.12 _isNotEqualTo_(U, U) -> false 12.70/6.12 _or_(A, B) -> _xor_(_and_(A, B), _xor_(A, B)) 12.70/6.12 _xor_(A, A) -> false 12.70/6.12 _xor_(false, A) -> A 12.70/6.12 and(tt, X) -> X
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS_Equational 2019-03-21 05.09