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TRS_Equational 2019-03-21 05.09 pair #429997326
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
n145.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.583526 seconds
cpu usage
0.68
user time
0.61
system time
0.07
max virtual memory
424240.0
max residence set size
8900.0
stage attributes
key
value
starexec-result
MAYBE
output
0.68/0.57 MAYBE 0.68/0.58 Input TRS: 0.68/0.58 AC symbols: _or_ _xor_ _and_ 0.68/0.58 1: U101(tt(),A,B) -> U102(isBool(B),A,B) 0.68/0.58 2: U102(tt(),A,B) -> _xor_(_and_(A,B),_xor_(A,B)) 0.68/0.58 3: U11(tt(),A) -> A 0.68/0.58 4: U111(tt()) -> false() 0.68/0.58 5: U121(tt(),A) -> A 0.68/0.58 6: U131(tt(),B,U',U) -> U132(isS(U'),B,U',U) 0.68/0.58 7: U132(tt(),B,U',U) -> U133(isS(U),B,U') 0.68/0.58 8: U133(tt(),B,U') -> U134(equal(_isNotEqualTo_(B,true()),true()),U') 0.68/0.58 9: U134(tt(),U') -> U' 0.68/0.58 10: U141(tt(),U) -> U142(isS(U),U) 0.68/0.58 11: U142(tt(),U) -> U 0.68/0.58 12: U151(tt(),V2) -> U152(isBool(V2)) 0.68/0.58 13: U152(tt()) -> tt() 0.68/0.58 14: U161(tt(),V2) -> U162(isBool(V2)) 0.68/0.58 15: U162(tt()) -> tt() 0.68/0.58 16: U171(tt(),V2) -> U172(isUniversal(V2)) 0.68/0.58 17: U172(tt()) -> tt() 0.68/0.58 18: U181(tt(),V2) -> U182(isUniversal(V2)) 0.68/0.58 19: U182(tt()) -> tt() 0.68/0.58 20: U191(tt(),V2) -> U192(isBool(V2)) 0.68/0.58 21: U192(tt()) -> tt() 0.68/0.58 22: U201(tt(),V2) -> U202(isBool(V2)) 0.68/0.58 23: U202(tt()) -> tt() 0.68/0.58 24: U21(tt(),A,B,C) -> U22(isBool(B),A,B,C) 0.68/0.58 25: U211(tt()) -> tt() 0.68/0.58 26: U22(tt(),A,B,C) -> U23(isBool(C),A,B,C) 0.68/0.58 27: U221(tt(),A) -> _xor_(A,true()) 0.68/0.58 28: U23(tt(),A,B,C) -> _xor_(_and_(A,B),_and_(A,C)) 0.68/0.58 29: U31(tt()) -> false() 0.68/0.58 30: U41(tt(),A) -> A 0.68/0.58 31: U51(tt(),A,B) -> U52(isBool(B),A,B) 0.68/0.58 32: U52(tt(),A,B) -> not_(_xor_(A,_and_(A,B))) 0.68/0.58 33: U61(tt(),U',U) -> U62(isS(U),U',U) 0.68/0.58 34: U62(tt(),U',U) -> U63(equal(_isNotEqualTo_(U,U'),true())) 0.68/0.58 35: U63(tt()) -> false() 0.68/0.58 36: U71(tt()) -> true() 0.68/0.58 37: U81(tt(),U',U) -> U82(isS(U),U',U) 0.68/0.58 38: U82(tt(),U',U) -> if_then_else_fi(_isEqualTo_(U,U'),false(),true()) 0.68/0.58 39: U91(tt()) -> false() 0.68/0.58 40: _and_(A,A) -> U11(isBool(A),A) 0.68/0.58 41: _and_(A,_xor_(B,C)) -> U21(isBool(A),A,B,C) 0.68/0.58 42: _and_(false(),A) -> U31(isBool(A)) 0.68/0.58 43: _and_(true(),A) -> U41(isBool(A),A) 0.68/0.58 44: _implies_(A,B) -> U51(isBool(A),A,B) 0.68/0.58 45: _isEqualTo_(U,U') -> U61(isS(U'),U',U) 0.68/0.58 46: _isEqualTo_(U,U) -> U71(isS(U)) 0.68/0.58 47: _isNotEqualTo_(U,U') -> U81(isS(U'),U',U) 0.68/0.58 48: _isNotEqualTo_(U,U) -> U91(isS(U)) 0.68/0.58 49: _or_(A,B) -> U101(isBool(A),A,B) 0.68/0.58 50: _xor_(A,A) -> U111(isBool(A)) 0.68/0.58 51: _xor_(false(),A) -> U121(isBool(A),A) 0.68/0.58 52: equal(X,X) -> tt() 0.68/0.58 53: if_then_else_fi(B,U,U') -> U131(isBool(B),B,U',U) 0.68/0.58 54: if_then_else_fi(true(),U,U') -> U141(isS(U'),U) 0.68/0.58 55: isBool(false()) -> tt() 0.68/0.58 56: isBool(true()) -> tt() 0.68/0.58 57: isBool(_and_(V1,V2)) -> U151(isBool(V1),V2) 0.68/0.58 58: isBool(_implies_(V1,V2)) -> U161(isBool(V1),V2) 0.68/0.58 59: isBool(_isEqualTo_(V1,V2)) -> U171(isUniversal(V1),V2) 0.68/0.58 60: isBool(_isNotEqualTo_(V1,V2)) -> U181(isUniversal(V1),V2) 0.68/0.58 61: isBool(_or_(V1,V2)) -> U191(isBool(V1),V2) 0.68/0.58 62: isBool(_xor_(V1,V2)) -> U201(isBool(V1),V2) 0.68/0.58 63: isBool(not_(V1)) -> U211(isBool(V1)) 0.68/0.58 64: not_(A) -> U221(isBool(A),A) 0.68/0.58 65: not_(false()) -> true() 0.68/0.58 66: not_(true()) -> false() 0.68/0.58 Number of strict rules: 66 0.68/0.58 Direct POLO(bPol) ... failed. 0.68/0.58 Uncurrying U181 U71 U91 U133 U142 U62 U172 U82 U81 U171 U182 U132 U141 U61 0.68/0.58 AC symbols: _or_ _xor_ _and_ 0.68/0.58 1: U101(tt(),A,B) -> U102(isBool(B),A,B) 0.68/0.58 2: U102(tt(),A,B) -> _xor_(_and_(A,B),_xor_(A,B)) 0.68/0.58 3: U11(tt(),A) -> A 0.68/0.58 4: U111(tt()) -> false() 0.68/0.58 5: U121(tt(),A) -> A 0.68/0.58 6: U131(tt(),B,U',U) -> U132^1_isS(U',B,U',U) 0.68/0.58 7: U132^1_tt(B,U',U) -> U133^1_isS(U,B,U') 0.68/0.58 8: U133^1_tt(B,U') -> U134(equal(_isNotEqualTo_(B,true()),true()),U') 0.68/0.58 9: U134(tt(),U') -> U' 0.68/0.58 10: U141^1_tt(U) -> U142^1_isS(U,U) 0.68/0.58 11: U142^1_tt(U) -> U 0.68/0.58 12: U151(tt(),V2) -> U152(isBool(V2)) 0.68/0.58 13: U152(tt()) -> tt() 0.68/0.58 14: U161(tt(),V2) -> U162(isBool(V2)) 0.68/0.58 15: U162(tt()) -> tt() 0.68/0.58 16: U171^1_tt(V2) -> U172^1_isUniversal(V2) 0.68/0.58 17: U172^1_tt() -> tt() 0.68/0.58 18: U181^1_tt(V2) -> U182^1_isUniversal(V2) 0.68/0.58 19: U182^1_tt() -> tt() 0.68/0.58 20: U191(tt(),V2) -> U192(isBool(V2)) 0.68/0.58 21: U192(tt()) -> tt() 0.68/0.58 22: U201(tt(),V2) -> U202(isBool(V2)) 0.68/0.58 23: U202(tt()) -> tt() 0.68/0.58 24: U21(tt(),A,B,C) -> U22(isBool(B),A,B,C) 0.68/0.58 25: U211(tt()) -> tt() 0.68/0.58 26: U22(tt(),A,B,C) -> U23(isBool(C),A,B,C) 0.68/0.58 27: U221(tt(),A) -> _xor_(A,true())
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