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TRS Equational pair #516978170
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
n087.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
8.44901299477 seconds
cpu usage
22.446783694
max memory
1.251352576E9
stage attributes
key
value
output-size
111767
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 92 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 32 ms] (9) EDP (10) EDependencyGraphProof [EQUIVALENT, 0 ms] (11) TRUE (12) EDP (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (14) EDP (15) EDPPoloProof [EQUIVALENT, 0 ms] (16) EDP (17) EDPPoloProof [EQUIVALENT, 0 ms] (18) EDP (19) PisEmptyProof [EQUIVALENT, 0 ms] (20) YES (21) EDP (22) ESharpUsableEquationsProof [EQUIVALENT, 8 ms] (23) EDP (24) EDPPoloProof [EQUIVALENT, 293 ms] (25) EDP (26) EDependencyGraphProof [EQUIVALENT, 0 ms] (27) EDP (28) EDPPoloProof [EQUIVALENT, 421 ms] (29) EDP (30) EDPPoloProof [EQUIVALENT, 516 ms] (31) EDP (32) EDPPoloProof [EQUIVALENT, 399 ms] (33) EDP (34) PisEmptyProof [EQUIVALENT, 0 ms] (35) YES (36) EDP (37) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (38) EDP (39) EDPPoloProof [EQUIVALENT, 634 ms] (40) EDP (41) PisEmptyProof [EQUIVALENT, 0 ms] (42) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: U101(tt, A, B) -> U102(isBool(B), A, B) U102(tt, A, B) -> _xor_(_and_(A, B), _xor_(A, B)) U11(tt, A) -> A U111(tt) -> false U121(tt, A) -> A U131(tt, B, U', U) -> U132(isS(U'), B, U', U) U132(tt, B, U', U) -> U133(isS(U), B, U') U133(tt, B, U') -> U134(equal(_isNotEqualTo_(B, true), true), U') U134(tt, U') -> U' U141(tt, U) -> U142(isS(U), U) U142(tt, U) -> U U151(tt, V2) -> U152(isBool(V2)) U152(tt) -> tt U161(tt, V2) -> U162(isBool(V2)) U162(tt) -> tt U171(tt, V2) -> U172(isUniversal(V2)) U172(tt) -> tt U181(tt, V2) -> U182(isUniversal(V2)) U182(tt) -> tt U191(tt, V2) -> U192(isBool(V2)) U192(tt) -> tt U201(tt, V2) -> U202(isBool(V2)) U202(tt) -> tt U21(tt, A, B, C) -> U22(isBool(B), A, B, C) U211(tt) -> tt U22(tt, A, B, C) -> U23(isBool(C), A, B, C) U221(tt, A) -> _xor_(A, true) U23(tt, A, B, C) -> _xor_(_and_(A, B), _and_(A, C)) U31(tt) -> false U41(tt, A) -> A U51(tt, A, B) -> U52(isBool(B), A, B) U52(tt, A, B) -> not_(_xor_(A, _and_(A, B))) U61(tt, U', U) -> U62(isS(U), U', U) U62(tt, U', U) -> U63(equal(_isNotEqualTo_(U, U'), true)) U63(tt) -> false
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