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TRS_Equational 2019-03-21 05.09 pair #429997324
details
property
value
status
complete
benchmark
RENAMED-BOOL_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n037.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.52496 seconds
cpu usage
19.2865
user time
18.6217
system time
0.664783
max virtual memory
1.8307224E7
max residence set size
1430216.0
stage attributes
key
value
starexec-result
YES
output
18.92/7.38 YES 19.06/7.47 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 19.06/7.47 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.06/7.47 19.06/7.47 19.06/7.47 Termination of the given ETRS could be proven: 19.06/7.47 19.06/7.47 (0) ETRS 19.06/7.47 (1) EquationalDependencyPairsProof [EQUIVALENT, 84 ms] 19.06/7.47 (2) EDP 19.06/7.47 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 19.06/7.47 (4) AND 19.06/7.47 (5) EDP 19.06/7.47 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 19.06/7.47 (7) EDP 19.06/7.47 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 30 ms] 19.06/7.47 (9) EDP 19.06/7.47 (10) EDependencyGraphProof [EQUIVALENT, 0 ms] 19.06/7.47 (11) TRUE 19.06/7.47 (12) EDP 19.06/7.47 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 19.06/7.47 (14) EDP 19.06/7.47 (15) EDPPoloProof [EQUIVALENT, 19 ms] 19.06/7.47 (16) EDP 19.06/7.47 (17) PisEmptyProof [EQUIVALENT, 0 ms] 19.06/7.47 (18) YES 19.06/7.47 (19) EDP 19.06/7.47 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 19.06/7.47 (21) EDP 19.06/7.47 (22) EDPPoloProof [EQUIVALENT, 199 ms] 19.06/7.47 (23) EDP 19.06/7.47 (24) EDependencyGraphProof [EQUIVALENT, 0 ms] 19.06/7.47 (25) EDP 19.06/7.47 (26) EDPPoloProof [EQUIVALENT, 454 ms] 19.06/7.47 (27) EDP 19.06/7.47 (28) EDPPoloProof [EQUIVALENT, 412 ms] 19.06/7.47 (29) EDP 19.06/7.47 (30) EDPPoloProof [EQUIVALENT, 382 ms] 19.06/7.47 (31) EDP 19.06/7.47 (32) PisEmptyProof [EQUIVALENT, 0 ms] 19.06/7.47 (33) YES 19.06/7.47 (34) EDP 19.06/7.47 (35) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 19.06/7.47 (36) EDP 19.06/7.47 (37) EDPPoloProof [EQUIVALENT, 664 ms] 19.06/7.47 (38) EDP 19.06/7.47 (39) PisEmptyProof [EQUIVALENT, 0 ms] 19.06/7.47 (40) YES 19.06/7.47 19.06/7.47 19.06/7.47 ---------------------------------------- 19.06/7.47 19.06/7.47 (0) 19.06/7.47 Obligation: 19.06/7.47 Equational rewrite system: 19.06/7.47 The TRS R consists of the following rules: 19.06/7.47 19.06/7.47 U101(tt, A, B) -> U102(isBool(B), A, B) 19.06/7.47 U102(tt, A, B) -> _xor_(_and_(A, B), _xor_(A, B)) 19.06/7.47 U11(tt, A) -> A 19.06/7.47 U111(tt) -> false 19.06/7.47 U121(tt, A) -> A 19.06/7.47 U131(tt, B, U', U) -> U132(isS(U'), B, U', U) 19.06/7.47 U132(tt, B, U', U) -> U133(isS(U), B, U') 19.06/7.47 U133(tt, B, U') -> U134(equal(_isNotEqualTo_(B, true), true), U') 19.06/7.47 U134(tt, U') -> U' 19.06/7.47 U141(tt, U) -> U142(isS(U), U) 19.06/7.47 U142(tt, U) -> U 19.06/7.47 U151(tt, V2) -> U152(isBool(V2)) 19.06/7.47 U152(tt) -> tt 19.06/7.47 U161(tt, V2) -> U162(isBool(V2)) 19.06/7.47 U162(tt) -> tt 19.06/7.47 U171(tt, V2) -> U172(isUniversal(V2)) 19.06/7.47 U172(tt) -> tt 19.06/7.47 U181(tt, V2) -> U182(isUniversal(V2)) 19.06/7.47 U182(tt) -> tt 19.06/7.47 U191(tt, V2) -> U192(isBool(V2)) 19.06/7.47 U192(tt) -> tt 19.06/7.47 U201(tt, V2) -> U202(isBool(V2)) 19.06/7.47 U202(tt) -> tt 19.06/7.47 U21(tt, A, B, C) -> U22(isBool(B), A, B, C) 19.06/7.47 U211(tt) -> tt 19.06/7.47 U22(tt, A, B, C) -> U23(isBool(C), A, B, C) 19.06/7.47 U221(tt, A) -> _xor_(A, true) 19.06/7.47 U23(tt, A, B, C) -> _xor_(_and_(A, B), _and_(A, C)) 19.06/7.47 U31(tt) -> false 19.06/7.47 U41(tt, A) -> A 19.06/7.47 U51(tt, A, B) -> U52(isBool(B), A, B) 19.06/7.47 U52(tt, A, B) -> not_(_xor_(A, _and_(A, B))) 19.06/7.47 U61(tt, U', U) -> U62(isS(U), U', U) 19.06/7.47 U62(tt, U', U) -> U63(equal(_isNotEqualTo_(U, U'), true)) 19.06/7.47 U63(tt) -> false 19.06/7.47 U71(tt) -> true 19.06/7.47 U81(tt, U', U) -> U82(isS(U), U', U) 19.06/7.47 U82(tt, U', U) -> if_then_else_fi(_isEqualTo_(U, U'), false, true) 19.06/7.47 U91(tt) -> false 19.06/7.47 _and_(A, A) -> U11(isBool(A), A) 19.06/7.47 _and_(A, _xor_(B, C)) -> U21(isBool(A), A, B, C) 19.06/7.47 _and_(false, A) -> U31(isBool(A)) 19.06/7.47 _and_(true, A) -> U41(isBool(A), A)
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