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TRS_Equational 2019-03-21 05.09 pair #429997342
details
property
value
status
complete
benchmark
RENAMED-BOOL_nosorts-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n128.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.6688 seconds
cpu usage
27.8771
user time
27.3068
system time
0.570314
max virtual memory
1.8433764E7
max residence set size
1319240.0
stage attributes
key
value
starexec-result
NO
output
27.56/14.61 NO 27.56/14.63 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 27.56/14.63 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.56/14.63 27.56/14.63 27.56/14.63 Termination of the given ETRS could be disproven: 27.56/14.63 27.56/14.63 (0) ETRS 27.56/14.63 (1) RRRPoloETRSProof [EQUIVALENT, 293 ms] 27.56/14.63 (2) ETRS 27.56/14.63 (3) RRRPoloETRSProof [EQUIVALENT, 132 ms] 27.56/14.63 (4) ETRS 27.56/14.63 (5) RRRPoloETRSProof [EQUIVALENT, 73 ms] 27.56/14.63 (6) ETRS 27.56/14.63 (7) RRRPoloETRSProof [EQUIVALENT, 85 ms] 27.56/14.63 (8) ETRS 27.56/14.63 (9) RRRPoloETRSProof [EQUIVALENT, 59 ms] 27.56/14.63 (10) ETRS 27.56/14.63 (11) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] 27.56/14.63 (12) EDP 27.56/14.63 (13) EDependencyGraphProof [EQUIVALENT, 0 ms] 27.56/14.63 (14) AND 27.56/14.63 (15) EDP 27.56/14.63 (16) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 27.56/14.63 (17) EDP 27.56/14.63 (18) EUsableRulesReductionPairsProof [EQUIVALENT, 1 ms] 27.56/14.63 (19) EDP 27.56/14.63 (20) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] 27.56/14.63 (21) QDP 27.56/14.63 (22) TransformationProof [EQUIVALENT, 0 ms] 27.56/14.63 (23) QDP 27.56/14.63 (24) TransformationProof [EQUIVALENT, 0 ms] 27.56/14.63 (25) QDP 27.56/14.63 (26) TransformationProof [EQUIVALENT, 0 ms] 27.56/14.63 (27) QDP 27.56/14.63 (28) TransformationProof [EQUIVALENT, 0 ms] 27.56/14.63 (29) QDP 27.56/14.63 (30) NonTerminationLoopProof [COMPLETE, 0 ms] 27.56/14.63 (31) NO 27.56/14.63 (32) EDP 27.56/14.63 27.56/14.63 27.56/14.63 ---------------------------------------- 27.56/14.63 27.56/14.63 (0) 27.56/14.63 Obligation: 27.56/14.63 Equational rewrite system: 27.56/14.63 The TRS R consists of the following rules: 27.56/14.63 27.56/14.63 U11(tt, A, B, C) -> U12(tt, A, B, C) 27.56/14.63 U12(tt, A, B, C) -> U13(tt, A, B, C) 27.56/14.63 U13(tt, A, B, C) -> _xor_(_and_(A, B), _and_(A, C)) 27.56/14.63 U21(tt, A, B) -> U22(tt, A, B) 27.56/14.63 U22(tt, A, B) -> not_(_xor_(A, _and_(A, B))) 27.56/14.63 U31(tt, U', U) -> U32(tt, U', U) 27.56/14.63 U32(tt, U', U) -> U33(equal(_isNotEqualTo_(U, U'), true)) 27.56/14.63 U33(tt) -> false 27.56/14.63 U41(tt, U', U) -> U42(tt, U', U) 27.56/14.63 U42(tt, U', U) -> if_then_else_fi(_isEqualTo_(U, U'), false, true) 27.56/14.63 U51(tt, A, B) -> U52(tt, A, B) 27.56/14.63 U52(tt, A, B) -> _xor_(_and_(A, B), _xor_(A, B)) 27.56/14.63 U61(tt, B, U') -> U62(tt, B, U') 27.56/14.63 U62(tt, B, U') -> U63(tt, B, U') 27.56/14.63 U63(tt, B, U') -> U64(equal(_isNotEqualTo_(B, true), true), U') 27.56/14.63 U64(tt, U') -> U' 27.56/14.63 U71(tt, U) -> U72(tt, U) 27.56/14.63 U72(tt, U) -> U 27.56/14.63 _and_(A, A) -> A 27.56/14.63 _and_(A, _xor_(B, C)) -> U11(tt, A, B, C) 27.56/14.63 _and_(false, A) -> false 27.56/14.63 _and_(true, A) -> A 27.56/14.63 _implies_(A, B) -> U21(tt, A, B) 27.56/14.63 _isEqualTo_(U, U') -> U31(tt, U', U) 27.56/14.63 _isEqualTo_(U, U) -> true 27.56/14.63 _isNotEqualTo_(U, U') -> U41(tt, U', U) 27.56/14.63 _isNotEqualTo_(U, U) -> false 27.56/14.63 _or_(A, B) -> U51(tt, A, B) 27.56/14.63 _xor_(A, A) -> false 27.56/14.63 _xor_(false, A) -> A 27.56/14.63 equal(X, X) -> tt 27.56/14.63 if_then_else_fi(B, U, U') -> U61(tt, B, U') 27.56/14.63 if_then_else_fi(true, U, U') -> U71(tt, U) 27.56/14.63 not_(A) -> _xor_(A, true) 27.56/14.63 not_(false) -> true 27.56/14.63 not_(true) -> false 27.56/14.63 27.56/14.63 The set E consists of the following equations: 27.56/14.63 27.56/14.63 _and_(x, y) == _and_(y, x) 27.56/14.63 _or_(x, y) == _or_(y, x) 27.56/14.63 _xor_(x, y) == _xor_(y, x) 27.56/14.63 _and_(_and_(x, y), z) == _and_(x, _and_(y, z)) 27.56/14.63 _or_(_or_(x, y), z) == _or_(x, _or_(y, z)) 27.56/14.63 _xor_(_xor_(x, y), z) == _xor_(x, _xor_(y, z)) 27.56/14.63 27.56/14.63 27.56/14.63 ---------------------------------------- 27.56/14.63 27.56/14.63 (1) RRRPoloETRSProof (EQUIVALENT) 27.56/14.63 The following E TRS is given: Equational rewrite system:
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