func BitFTA0Str (ap,bp,cp,dp,cin) -> ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) equals :: FTACELL1:def 1
(BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( non empty strict ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ;

func BitFTA0Circ (ap,bp,cp,dp,cin) -> ( ( strict V105( BitFTA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) ( strict non-empty V105( BitFTA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) Circuit of BitFTA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) equals :: FTACELL1:def 2
(BitGFA0Circ (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( strict V105( BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) ( strict non-empty V105( BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) MSAlgebra over BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) +* (BitGFA0Circ ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( strict V105( BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) ( strict non-empty V105( BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) MSAlgebra over BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) : ( ( strict non-empty ) ( strict non-empty V105((BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( non empty strict ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) gate`2=den Boolean ) MSAlgebra over (BitGFA0Str (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) +* (BitGFA0Str ((GFA0AdderOutput (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( ) ( ) Element of InnerVertices (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) Element of K27( the carrier of (GFA0AdderStr (ap : ( ( non empty ) ( non empty ) ManySortedSign ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,cp : ( ( ) ( Relation-like the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) -defined Function-like total ) M16( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the Arity of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * K239( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ,bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) : ( ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) ( Relation-like K236( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( functional non empty FinSequence-membered ) M8( the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like Function-like ) set ) , the ResultSort of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) ( Relation-like Function-like V18( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) ) Element of K27(K28( the carrier' of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) , the carrier of ap : ( ( non empty ) ( non empty ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) )) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,cin : ( ( Relation-like Function-like V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like ) ( Relation-like K100() : ( ( ) ( non empty V21() V22() V23() V34() V49() V50() ) Element of K27(K96() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like V34() V41(ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) FinSequence-like FinSubsequence-like V49() ) set ) ,dp : ( ( Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) ( Relation-like Function-like V18(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ) Element of K27(K28(bp : ( ( ) ( ) MSAlgebra over ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) ,ap : ( ( non empty ) ( non empty ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) )) : ( ( non empty non void strict unsplit gate`1=arity gate`2isBoolean ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) : ( ( non empty strict ) ( non empty non void strict Circuit-like unsplit gate`1=arity gate`2isBoolean gate`2=den ) ManySortedSign ) ) ;