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TRS_Equational 2019-03-21 05.09 pair #429997325
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
n182.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
19.7456 seconds
cpu usage
18.2885
user time
15.6819
system time
2.60655
max virtual memory
731168.0
max residence set size
43412.0
stage attributes
key
value
starexec-result
YES
output
18.21/19.72 YES 18.21/19.72 18.21/19.72 Problem 1: 18.21/19.72 18.21/19.72 (VAR A B C U U' V1 V2 X) 18.21/19.72 (THEORY 18.21/19.72 (AC _and_ _or_ _xor_)) 18.21/19.72 (RULES 18.21/19.72 U101(tt,A,B) -> U102(isBool(B),A,B) 18.21/19.72 U102(tt,A,B) -> _xor_(_and_(A,B),_xor_(A,B)) 18.21/19.72 U11(tt,A) -> A 18.21/19.72 U111(tt) -> false 18.21/19.72 U121(tt,A) -> A 18.21/19.72 U131(tt,B,U',U) -> U132(isS(U'),B,U',U) 18.21/19.72 U132(tt,B,U',U) -> U133(isS(U),B,U') 18.21/19.72 U133(tt,B,U') -> U134(equal(_isNotEqualTo_(B,true),true),U') 18.21/19.72 U134(tt,U') -> U' 18.21/19.72 U141(tt,U) -> U142(isS(U),U) 18.21/19.72 U142(tt,U) -> U 18.21/19.72 U151(tt,V2) -> U152(isBool(V2)) 18.21/19.72 U152(tt) -> tt 18.21/19.72 U161(tt,V2) -> U162(isBool(V2)) 18.21/19.72 U162(tt) -> tt 18.21/19.72 U171(tt,V2) -> U172(isUniversal(V2)) 18.21/19.72 U172(tt) -> tt 18.21/19.72 U181(tt,V2) -> U182(isUniversal(V2)) 18.21/19.72 U182(tt) -> tt 18.21/19.72 U191(tt,V2) -> U192(isBool(V2)) 18.21/19.72 U192(tt) -> tt 18.21/19.72 U201(tt,V2) -> U202(isBool(V2)) 18.21/19.72 U202(tt) -> tt 18.21/19.72 U21(tt,A,B,C) -> U22(isBool(B),A,B,C) 18.21/19.72 U211(tt) -> tt 18.21/19.72 U22(tt,A,B,C) -> U23(isBool(C),A,B,C) 18.21/19.72 U221(tt,A) -> _xor_(A,true) 18.21/19.72 U23(tt,A,B,C) -> _xor_(_and_(A,B),_and_(A,C)) 18.21/19.72 U31(tt) -> false 18.21/19.72 U41(tt,A) -> A 18.21/19.72 U51(tt,A,B) -> U52(isBool(B),A,B) 18.21/19.72 U52(tt,A,B) -> not_(_xor_(A,_and_(A,B))) 18.21/19.72 U61(tt,U',U) -> U62(isS(U),U',U) 18.21/19.72 U62(tt,U',U) -> U63(equal(_isNotEqualTo_(U,U'),true)) 18.21/19.72 U63(tt) -> false 18.21/19.72 U71(tt) -> true 18.21/19.72 U81(tt,U',U) -> U82(isS(U),U',U) 18.21/19.72 U82(tt,U',U) -> if_then_else_fi(_isEqualTo_(U,U'),false,true) 18.21/19.72 U91(tt) -> false 18.21/19.72 _and_(false,A) -> U31(isBool(A)) 18.21/19.72 _and_(true,A) -> U41(isBool(A),A) 18.21/19.72 _and_(A,_xor_(B,C)) -> U21(isBool(A),A,B,C) 18.21/19.72 _and_(A,A) -> U11(isBool(A),A) 18.21/19.72 _implies_(A,B) -> U51(isBool(A),A,B) 18.21/19.72 _isEqualTo_(U,U) -> U71(isS(U)) 18.21/19.72 _isEqualTo_(U,U') -> U61(isS(U'),U',U) 18.21/19.72 _isNotEqualTo_(U,U) -> U91(isS(U)) 18.21/19.72 _isNotEqualTo_(U,U') -> U81(isS(U'),U',U) 18.21/19.72 _or_(A,B) -> U101(isBool(A),A,B) 18.21/19.72 _xor_(false,A) -> U121(isBool(A),A) 18.21/19.72 _xor_(A,A) -> U111(isBool(A)) 18.21/19.72 equal(X,X) -> tt 18.21/19.72 if_then_else_fi(true,U,U') -> U141(isS(U'),U) 18.21/19.72 if_then_else_fi(B,U,U') -> U131(isBool(B),B,U',U) 18.21/19.72 isBool(_and_(V1,V2)) -> U151(isBool(V1),V2) 18.21/19.72 isBool(_implies_(V1,V2)) -> U161(isBool(V1),V2) 18.21/19.72 isBool(_isEqualTo_(V1,V2)) -> U171(isUniversal(V1),V2) 18.21/19.72 isBool(_isNotEqualTo_(V1,V2)) -> U181(isUniversal(V1),V2) 18.21/19.72 isBool(_or_(V1,V2)) -> U191(isBool(V1),V2) 18.21/19.72 isBool(_xor_(V1,V2)) -> U201(isBool(V1),V2) 18.21/19.72 isBool(not_(V1)) -> U211(isBool(V1)) 18.21/19.72 isBool(false) -> tt 18.21/19.72 isBool(true) -> tt 18.21/19.72 not_(false) -> true 18.21/19.72 not_(true) -> false 18.21/19.72 not_(A) -> U221(isBool(A),A) 18.21/19.72 ) 18.21/19.72 18.21/19.72 Problem 1: 18.21/19.72 18.21/19.72 Dependency Pairs Processor: 18.21/19.72 -> FAxioms: 18.21/19.72 _AND_(_and_(x8,x9),x10) = _AND_(x8,_and_(x9,x10)) 18.21/19.72 _AND_(x8,x9) = _AND_(x9,x8) 18.21/19.72 _OR_(_or_(x8,x9),x10) = _OR_(x8,_or_(x9,x10)) 18.21/19.72 _OR_(x8,x9) = _OR_(x9,x8) 18.21/19.72 _XOR_(_xor_(x8,x9),x10) = _XOR_(x8,_xor_(x9,x10)) 18.21/19.72 _XOR_(x8,x9) = _XOR_(x9,x8) 18.21/19.72 -> Pairs: 18.21/19.72 U101#(tt,A,B) -> U102#(isBool(B),A,B) 18.21/19.72 U101#(tt,A,B) -> ISBOOL(B) 18.21/19.72 U102#(tt,A,B) -> _AND_(A,B) 18.21/19.72 U102#(tt,A,B) -> _XOR_(_and_(A,B),_xor_(A,B)) 18.21/19.72 U102#(tt,A,B) -> _XOR_(A,B) 18.21/19.72 U131#(tt,B,U',U) -> U132#(isS(U'),B,U',U) 18.21/19.72 U132#(tt,B,U',U) -> U133#(isS(U),B,U') 18.21/19.72 U133#(tt,B,U') -> U134#(equal(_isNotEqualTo_(B,true),true),U') 18.21/19.72 U133#(tt,B,U') -> _ISNOTEQUALTO_(B,true) 18.21/19.72 U133#(tt,B,U') -> EQUAL(_isNotEqualTo_(B,true),true) 18.21/19.72 U141#(tt,U) -> U142#(isS(U),U) 18.21/19.72 U151#(tt,V2) -> U152#(isBool(V2)) 18.21/19.72 U151#(tt,V2) -> ISBOOL(V2)
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