details

property	value
status	complete
benchmark	RENAMED-BOOL_nokinds.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	15.3097 seconds
cpu usage	28.044
user time	27.0458
system time	0.998174
max virtual memory	1.8346268E7
max residence set size	2514536.0

stage attributes

key	value
starexec-result	YES

output

27.87/15.23 YES 27.87/15.24 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 27.87/15.24 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.87/15.24 27.87/15.24 27.87/15.24 Termination of the given ETRS could be proven: 27.87/15.24 27.87/15.24 (0) ETRS 27.87/15.24 (1) EquationalDependencyPairsProof [EQUIVALENT, 12 ms] 27.87/15.24 (2) EDP 27.87/15.24 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 27.87/15.24 (4) AND 27.87/15.24 (5) EDP 27.87/15.24 (6) ESharpUsableEquationsProof [EQUIVALENT, 12 ms] 27.87/15.24 (7) EDP 27.87/15.24 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 27.87/15.24 (9) EDP 27.87/15.24 (10) PisEmptyProof [EQUIVALENT, 0 ms] 27.87/15.24 (11) YES 27.87/15.24 (12) EDP 27.87/15.24 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 27.87/15.24 (14) EDP 27.87/15.24 (15) EDPPoloProof [EQUIVALENT, 6 ms] 27.87/15.24 (16) EDP 27.87/15.24 (17) EDPPoloProof [EQUIVALENT, 6 ms] 27.87/15.24 (18) EDP 27.87/15.24 (19) PisEmptyProof [EQUIVALENT, 0 ms] 27.87/15.24 (20) YES 27.87/15.24 (21) EDP 27.87/15.24 (22) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 27.87/15.24 (23) EDP 27.87/15.24 (24) EDPPoloProof [EQUIVALENT, 905 ms] 27.87/15.24 (25) EDP 27.87/15.24 (26) EDependencyGraphProof [EQUIVALENT, 0 ms] 27.87/15.24 (27) EDP 27.87/15.24 (28) EDPPoloProof [EQUIVALENT, 1921 ms] 27.87/15.24 (29) EDP 27.87/15.24 (30) EDPPoloProof [EQUIVALENT, 852 ms] 27.87/15.24 (31) EDP 27.87/15.24 (32) PisEmptyProof [EQUIVALENT, 0 ms] 27.87/15.24 (33) YES 27.87/15.24 (34) EDP 27.87/15.24 (35) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 27.87/15.24 (36) EDP 27.87/15.24 (37) EDPPoloProof [EQUIVALENT, 1819 ms] 27.87/15.24 (38) EDP 27.87/15.24 (39) PisEmptyProof [EQUIVALENT, 0 ms] 27.87/15.24 (40) YES 27.87/15.24 27.87/15.24 27.87/15.24 ---------------------------------------- 27.87/15.24 27.87/15.24 (0) 27.87/15.24 Obligation: 27.87/15.24 Equational rewrite system: 27.87/15.24 The TRS R consists of the following rules: 27.87/15.24 27.87/15.24 U101(tt, A, B) -> _xor_(_and_(A, B), _xor_(A, B)) 27.87/15.24 U11(tt, A) -> A 27.87/15.24 U111(tt) -> false 27.87/15.24 U121(tt, A) -> A 27.87/15.24 U131(tt, B, U') -> U132(equal(_isNotEqualTo_(B, true), true), U') 27.87/15.24 U132(tt, U') -> U' 27.87/15.24 U141(tt, U) -> U 27.87/15.24 U151(tt, A) -> _xor_(A, true) 27.87/15.24 U21(tt, A, B, C) -> _xor_(_and_(A, B), _and_(A, C)) 27.87/15.24 U31(tt) -> false 27.87/15.24 U41(tt, A) -> A 27.87/15.24 U51(tt, A, B) -> not_(_xor_(A, _and_(A, B))) 27.87/15.24 U61(tt, U', U) -> U62(equal(_isNotEqualTo_(U, U'), true)) 27.87/15.24 U62(tt) -> false 27.87/15.24 U71(tt) -> true 27.87/15.24 U81(tt, U', U) -> if_then_else_fi(_isEqualTo_(U, U'), false, true) 27.87/15.24 U91(tt) -> false 27.87/15.24 _and_(A, A) -> U11(isBool(A), A) 27.87/15.24 _and_(A, _xor_(B, C)) -> U21(and(isBool(A), and(isBool(B), isBool(C))), A, B, C) 27.87/15.24 _and_(false, A) -> U31(isBool(A)) 27.87/15.24 _and_(true, A) -> U41(isBool(A), A) 27.87/15.24 _implies_(A, B) -> U51(and(isBool(A), isBool(B)), A, B) 27.87/15.24 _isEqualTo_(U, U') -> U61(and(isS(U'), isS(U)), U', U) 27.87/15.24 _isEqualTo_(U, U) -> U71(isS(U)) 27.87/15.24 _isNotEqualTo_(U, U') -> U81(and(isS(U'), isS(U)), U', U) 27.87/15.24 _isNotEqualTo_(U, U) -> U91(isS(U)) 27.87/15.24 _or_(A, B) -> U101(and(isBool(A), isBool(B)), A, B) 27.87/15.24 _xor_(A, A) -> U111(isBool(A)) 27.87/15.24 _xor_(false, A) -> U121(isBool(A), A) 27.87/15.24 and(tt, X) -> X 27.87/15.24 equal(X, X) -> tt 27.87/15.24 if_then_else_fi(B, U, U') -> U131(and(isBool(B), and(isS(U'), isS(U))), B, U') 27.87/15.24 if_then_else_fi(true, U, U') -> U141(and(isS(U'), isS(U)), U) 27.87/15.24 isBool(false) -> tt 27.87/15.24 isBool(true) -> tt 27.87/15.24 isBool(_and_(V1, V2)) -> and(isBool(V1), isBool(V2)) 27.87/15.24 isBool(_implies_(V1, V2)) -> and(isBool(V1), isBool(V2)) 27.87/15.24 isBool(_isEqualTo_(V1, V2)) -> and(isUniversal(V1), isUniversal(V2)) 27.87/15.24 isBool(_isNotEqualTo_(V1, V2)) -> and(isUniversal(V1), isUniversal(V2)) 27.87/15.24 isBool(_or_(V1, V2)) -> and(isBool(V1), isBool(V2)) 27.87/15.24 isBool(_xor_(V1, V2)) -> and(isBool(V1), isBool(V2)) 27.87/15.24 isBool(not_(V1)) -> isBool(V1) 27.87/15.24 not_(A) -> U151(isBool(A), A) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09