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	n147.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	19.7775 seconds
cpu usage	18.4961
user time	16.2194
system time	2.27674
max virtual memory	750172.0
max residence set size	60496.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR A B C U U' V1 V2 X) (THEORY (AC _and_ _or_ _xor_)) (RULES U101(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') -> U132(equal(_isNotEqualTo_(B,true),true),U') U132(tt,U') -> U' U141(tt,U) -> U U151(tt,A) -> _xor_(A,true) U21(tt,A,B,C) -> _xor_(_and_(A,B),_and_(A,C)) U31(tt) -> false U41(tt,A) -> A U51(tt,A,B) -> not_(_xor_(A,_and_(A,B))) U61(tt,U',U) -> U62(equal(_isNotEqualTo_(U,U'),true)) U62(tt) -> false U71(tt) -> true U81(tt,U',U) -> if_then_else_fi(_isEqualTo_(U,U'),false,true) U91(tt) -> false _and_(false,A) -> U31(isBool(A)) _and_(true,A) -> U41(isBool(A),A) _and_(A,_xor_(B,C)) -> U21(and(isBool(A),and(isBool(B),isBool(C))),A,B,C) _and_(A,A) -> U11(isBool(A),A) _implies_(A,B) -> U51(and(isBool(A),isBool(B)),A,B) _isEqualTo_(U,U) -> U71(isS(U)) _isEqualTo_(U,U') -> U61(and(isS(U'),isS(U)),U',U) _isNotEqualTo_(U,U) -> U91(isS(U)) _isNotEqualTo_(U,U') -> U81(and(isS(U'),isS(U)),U',U) _or_(A,B) -> U101(and(isBool(A),isBool(B)),A,B) _xor_(false,A) -> U121(isBool(A),A) _xor_(A,A) -> U111(isBool(A)) and(tt,X) -> X equal(X,X) -> tt if_then_else_fi(true,U,U') -> U141(and(isS(U'),isS(U)),U) if_then_else_fi(B,U,U') -> U131(and(isBool(B),and(isS(U'),isS(U))),B,U') isBool(_and_(V1,V2)) -> and(isBool(V1),isBool(V2)) isBool(_implies_(V1,V2)) -> and(isBool(V1),isBool(V2)) isBool(_isEqualTo_(V1,V2)) -> and(isUniversal(V1),isUniversal(V2)) isBool(_isNotEqualTo_(V1,V2)) -> and(isUniversal(V1),isUniversal(V2)) isBool(_or_(V1,V2)) -> and(isBool(V1),isBool(V2)) isBool(_xor_(V1,V2)) -> and(isBool(V1),isBool(V2)) isBool(not_(V1)) -> isBool(V1) isBool(false) -> tt isBool(true) -> tt not_(false) -> true not_(true) -> false not_(A) -> U151(isBool(A),A) ) Problem 1: Dependency Pairs Processor: -> FAxioms: _AND_(_and_(x8,x9),x10) = _AND_(x8,_and_(x9,x10)) _AND_(x8,x9) = _AND_(x9,x8) _OR_(_or_(x8,x9),x10) = _OR_(x8,_or_(x9,x10)) _OR_(x8,x9) = _OR_(x9,x8) _XOR_(_xor_(x8,x9),x10) = _XOR_(x8,_xor_(x9,x10)) _XOR_(x8,x9) = _XOR_(x9,x8) -> Pairs: U101#(tt,A,B) -> _AND_(A,B) U101#(tt,A,B) -> _XOR_(_and_(A,B),_xor_(A,B)) U101#(tt,A,B) -> _XOR_(A,B) U131#(tt,B,U') -> U132#(equal(_isNotEqualTo_(B,true),true),U') U131#(tt,B,U') -> _ISNOTEQUALTO_(B,true) U131#(tt,B,U') -> EQUAL(_isNotEqualTo_(B,true),true) U151#(tt,A) -> _XOR_(A,true) U21#(tt,A,B,C) -> _AND_(A,B) U21#(tt,A,B,C) -> _AND_(A,C) U21#(tt,A,B,C) -> _XOR_(_and_(A,B),_and_(A,C)) U51#(tt,A,B) -> _AND_(A,B) U51#(tt,A,B) -> _XOR_(A,_and_(A,B)) U51#(tt,A,B) -> NOT_(_xor_(A,_and_(A,B))) U61#(tt,U',U) -> U62#(equal(_isNotEqualTo_(U,U'),true)) U61#(tt,U',U) -> _ISNOTEQUALTO_(U,U') U61#(tt,U',U) -> EQUAL(_isNotEqualTo_(U,U'),true) U81#(tt,U',U) -> _ISEQUALTO_(U,U') U81#(tt,U',U) -> IF_THEN_ELSE_FI(_isEqualTo_(U,U'),false,true) _AND_(_and_(false,A),x8) -> U31#(isBool(A)) _AND_(_and_(false,A),x8) -> _AND_(U31(isBool(A)),x8) _AND_(_and_(false,A),x8) -> ISBOOL(A) _AND_(_and_(true,A),x8) -> U41#(isBool(A),A) _AND_(_and_(true,A),x8) -> _AND_(U41(isBool(A),A),x8) _AND_(_and_(true,A),x8) -> ISBOOL(A) _AND_(_and_(A,_xor_(B,C)),x8) -> U21#(and(isBool(A),and(isBool(B),isBool(C))),A,B,C) _AND_(_and_(A,_xor_(B,C)),x8) -> _AND_(U21(and(isBool(A),and(isBool(B),isBool(C))),A,B,C),x8) _AND_(_and_(A,_xor_(B,C)),x8) -> AND(isBool(A),and(isBool(B),isBool(C))) _AND_(_and_(A,_xor_(B,C)),x8) -> AND(isBool(B),isBool(C)) _AND_(_and_(A,_xor_(B,C)),x8) -> ISBOOL(A) _AND_(_and_(A,_xor_(B,C)),x8) -> ISBOOL(B) _AND_(_and_(A,_xor_(B,C)),x8) -> ISBOOL(C) _AND_(_and_(A,A),x8) -> U11#(isBool(A),A) _AND_(_and_(A,A),x8) -> _AND_(U11(isBool(A),A),x8) _AND_(_and_(A,A),x8) -> ISBOOL(A) popout

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

job log

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actions

all output return to TRS Equational