TSTP Solution File: SEU752^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU752^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n090.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:33:01 EDT 2014
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU752^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n090.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 11:22:46 CDT 2014
% % CPUTime : 300.04
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x1520320>, <kernel.DependentProduct object at 0x159e7a0>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1520320>, <kernel.DependentProduct object at 0x159e710>) of role type named powerset_type
% Using role type
% Declaring powerset:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x1163908>, <kernel.DependentProduct object at 0x159e200>) of role type named binunion_type
% Using role type
% Declaring binunion:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1163908>, <kernel.Sort object at 0x10297e8>) of role type named binunionE_type
% Using role type
% Declaring binunionE:Prop
% FOF formula (((eq Prop) binunionE) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binunion A) B))->((or ((in Xx) A)) ((in Xx) B))))) of role definition named binunionE
% A new definition: (((eq Prop) binunionE) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binunion A) B))->((or ((in Xx) A)) ((in Xx) B)))))
% Defined: binunionE:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binunion A) B))->((or ((in Xx) A)) ((in Xx) B))))
% FOF formula (<kernel.Constant object at 0x159ecf8>, <kernel.DependentProduct object at 0x159e170>) of role type named binintersect_type
% Using role type
% Declaring binintersect:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x159ed88>, <kernel.DependentProduct object at 0x159e710>) of role type named setminus_type
% Using role type
% Declaring setminus:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x159ed40>, <kernel.Sort object at 0x10297e8>) of role type named setminusI_type
% Using role type
% Declaring setminusI:Prop
% FOF formula (((eq Prop) setminusI) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((((in Xx) B)->False)->((in Xx) ((setminus A) B)))))) of role definition named setminusI
% A new definition: (((eq Prop) setminusI) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((((in Xx) B)->False)->((in Xx) ((setminus A) B))))))
% Defined: setminusI:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((((in Xx) B)->False)->((in Xx) ((setminus A) B)))))
% FOF formula (<kernel.Constant object at 0x159e170>, <kernel.Sort object at 0x10297e8>) of role type named setminusER_type
% Using role type
% Declaring setminusER:Prop
% FOF formula (((eq Prop) setminusER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->(((in Xx) B)->False)))) of role definition named setminusER
% A new definition: (((eq Prop) setminusER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->(((in Xx) B)->False))))
% Defined: setminusER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->(((in Xx) B)->False)))
% FOF formula (<kernel.Constant object at 0x159e170>, <kernel.Sort object at 0x10297e8>) of role type named binintersectTELcontra_type
% Using role type
% Declaring binintersectTELcontra:Prop
% FOF formula (((eq Prop) binintersectTELcontra) (forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) X)->False)->(((in Xx) ((binintersect X) Y))->False))))))))) of role definition named binintersectTELcontra
% A new definition: (((eq Prop) binintersectTELcontra) (forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) X)->False)->(((in Xx) ((binintersect X) Y))->False)))))))))
% Defined: binintersectTELcontra:=(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) X)->False)->(((in Xx) ((binintersect X) Y))->False))))))))
% FOF formula (<kernel.Constant object at 0x159e170>, <kernel.Sort object at 0x10297e8>) of role type named binintersectTERcontra_type
% Using role type
% Declaring binintersectTERcontra:Prop
% FOF formula (((eq Prop) binintersectTERcontra) (forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) Y)->False)->(((in Xx) ((binintersect X) Y))->False))))))))) of role definition named binintersectTERcontra
% A new definition: (((eq Prop) binintersectTERcontra) (forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) Y)->False)->(((in Xx) ((binintersect X) Y))->False)))))))))
% Defined: binintersectTERcontra:=(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) Y)->False)->(((in Xx) ((binintersect X) Y))->False))))))))
% FOF formula (binunionE->(setminusI->(setminusER->(binintersectTELcontra->(binintersectTERcontra->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))->((in Xx) ((setminus A) ((binintersect X) Y))))))))))))))) of role conjecture named demorgan1b
% Conjecture to prove = (binunionE->(setminusI->(setminusER->(binintersectTELcontra->(binintersectTERcontra->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))->((in Xx) ((setminus A) ((binintersect X) Y))))))))))))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(binunionE->(setminusI->(setminusER->(binintersectTELcontra->(binintersectTERcontra->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))->((in Xx) ((setminus A) ((binintersect X) Y)))))))))))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter powerset:(fofType->fofType).
% Parameter binunion:(fofType->(fofType->fofType)).
% Definition binunionE:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binunion A) B))->((or ((in Xx) A)) ((in Xx) B)))):Prop.
% Parameter binintersect:(fofType->(fofType->fofType)).
% Parameter setminus:(fofType->(fofType->fofType)).
% Definition setminusI:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((((in Xx) B)->False)->((in Xx) ((setminus A) B))))):Prop.
% Definition setminusER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->(((in Xx) B)->False))):Prop.
% Definition binintersectTELcontra:=(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) X)->False)->(((in Xx) ((binintersect X) Y))->False)))))))):Prop.
% Definition binintersectTERcontra:=(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->((((in Xx) Y)->False)->(((in Xx) ((binintersect X) Y))->False)))))))):Prop.
% Trying to prove (binunionE->(setminusI->(setminusER->(binintersectTELcontra->(binintersectTERcontra->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))->((in Xx) ((setminus A) ((binintersect X) Y)))))))))))))))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x9:((in Xx) A)
% Found x9 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x9:((in X) (powerset A))
% Found x9 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x9:((in Xx) Y)
% Found x9 as proof of ((in Xx) Y)
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in X) (powerset A))
% Found x9 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x9:((in X) (powerset A))
% Found x9 as proof of ((in X) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x8:((in Xx) ((binintersect X) Y))
% Found x8 as proof of ((in Xx) ((binintersect X) Y))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x4:((in X) (powerset A))
% Found x4 as proof of ((in X) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x7:((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x7 as proof of ((in Xx) ((binunion ((setminus A) X)) ((setminus A) Y)))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx) X)
% Found x9 as proof of ((in Xx) X)
% Found x5:((in Y) (powerset A))
% Found x5 as proof of ((in Y) (powerset A))
% Found x6:((in Xx) A)
% Found x6 as proof of ((in Xx) A)
% Found x9:((in Xx)
% EOF
%------------------------------------------------------------------------------