%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU621^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n118.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 13:32:38 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU621^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n118.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 10:55:26 CDT 2014
% % CPUTime  : 300.02 
% 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 0x14088c0>, <kernel.DependentProduct object at 0x1408b90>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x15e63f8>, <kernel.Single object at 0x1408a28>) of role type named emptyset_type
% Using role type
% Declaring emptyset:fofType
% FOF formula (<kernel.Constant object at 0x1408b90>, <kernel.DependentProduct object at 0x1408b00>) of role type named setadjoin_type
% Using role type
% Declaring setadjoin:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1408710>, <kernel.Sort object at 0x12e73f8>) of role type named uniqinunit_type
% Using role type
% Declaring uniqinunit:Prop
% FOF formula (((eq Prop) uniqinunit) (forall (Xx:fofType) (Xy:fofType), (((in Xx) ((setadjoin Xy) emptyset))->(((eq fofType) Xx) Xy)))) of role definition named uniqinunit
% A new definition: (((eq Prop) uniqinunit) (forall (Xx:fofType) (Xy:fofType), (((in Xx) ((setadjoin Xy) emptyset))->(((eq fofType) Xx) Xy))))
% Defined: uniqinunit:=(forall (Xx:fofType) (Xy:fofType), (((in Xx) ((setadjoin Xy) emptyset))->(((eq fofType) Xx) Xy)))
% FOF formula (<kernel.Constant object at 0x14089e0>, <kernel.DependentProduct object at 0x1408638>) of role type named subset_type
% Using role type
% Declaring subset:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1408b90>, <kernel.Sort object at 0x12e73f8>) of role type named subsetI2_type
% Using role type
% Declaring subsetI2:Prop
% FOF formula (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))) of role definition named subsetI2
% A new definition: (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))))
% Defined: subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))
% FOF formula (uniqinunit->(subsetI2->(forall (A:fofType) (Xx:fofType), (((in Xx) A)->((subset ((setadjoin Xx) emptyset)) A))))) of role conjecture named singletonsubset
% Conjecture to prove = (uniqinunit->(subsetI2->(forall (A:fofType) (Xx:fofType), (((in Xx) A)->((subset ((setadjoin Xx) emptyset)) A))))):Prop
% We need to prove ['(uniqinunit->(subsetI2->(forall (A:fofType) (Xx:fofType), (((in Xx) A)->((subset ((setadjoin Xx) emptyset)) A)))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter emptyset:fofType.
% Parameter setadjoin:(fofType->(fofType->fofType)).
% Definition uniqinunit:=(forall (Xx:fofType) (Xy:fofType), (((in Xx) ((setadjoin Xy) emptyset))->(((eq fofType) Xx) Xy))):Prop.
% Parameter subset:(fofType->(fofType->Prop)).
% Definition subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))):Prop.
% Trying to prove (uniqinunit->(subsetI2->(forall (A:fofType) (Xx:fofType), (((in Xx) A)->((subset ((setadjoin Xx) emptyset)) A)))))
% Found x30:((in Xx0) ((setadjoin Xx) emptyset))
% Found (fun (x30:((in Xx0) ((setadjoin Xx) emptyset)))=> x30) as proof of ((in Xx0) ((setadjoin Xx) emptyset))
% Found (fun (x30:((in Xx0) ((setadjoin Xx) emptyset)))=> x30) as proof of (P ((setadjoin Xx) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx1:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P Xx1)
% Found x3:((in Xx00) ((setadjoin Xx) emptyset))
% Instantiate: Xx0:=((setadjoin Xx) emptyset):fofType
% Found (fun (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3) as proof of ((in Xx00) Xx0)
% Found (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3) as proof of (((in Xx00) ((setadjoin Xx) emptyset))->((in Xx00) Xx0))
% Found (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3) as proof of (forall (Xx00:fofType), (((in Xx00) ((setadjoin Xx) emptyset))->((in Xx00) Xx0)))
% Found (x000 (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3)) as proof of (P Xx0)
% Found ((x00 Xx0) (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3)) as proof of (P Xx0)
% Found (((x0 ((setadjoin Xx) emptyset)) Xx0) (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3)) as proof of (P Xx0)
% Found (((x0 ((setadjoin Xx) emptyset)) Xx0) (fun (Xx00:fofType) (x3:((in Xx00) ((setadjoin Xx) emptyset)))=> x3)) as proof of (P Xx0)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx0:=Xx:fofType
% Found x1 as proof of (P0 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx1:=Xx0:fofType
% Found x2 as proof of (P0 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx1:=Xx0:fofType;Xx10:=Xx:fofType
% Found x2 as proof of (P0 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P1 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P1 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P1 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P1 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P1 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P1 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P1 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P1 Xx1)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P1 Xx1)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P1 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx2:=Xx:fofType
% Found x2 as proof of ((in Xx3) ((setadjoin Xx2) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P1 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P1 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P1 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx0:=Xx:fofType
% Found x1 as proof of (P1 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx2:=Xx:fofType
% Found x2 as proof of ((in Xx3) ((setadjoin Xx2) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P2 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P2 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P2 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P2 Xx21)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P2 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P2 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx12)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P2 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P2 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P2 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P2 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P2 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P2 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P2 Xx21)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P2 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P2 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P2 Xx12)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P2 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P2 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P2 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P2 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P2 Xx1)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P2 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P2 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P2 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx2:=Xx:fofType
% Found x2 as proof of ((in Xx3) ((setadjoin Xx2) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P2 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx2:=Xx:fofType
% Found x2 as proof of ((in Xx3) ((setadjoin Xx2) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P2 Xx00)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx31:=Xx:fofType;Xx30:=Xx0:fofType
% Found x2 as proof of (P3 Xx31)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx22:=Xx:fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx22)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx13:=Xx:fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx13)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx30:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx30:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx31:=Xx:fofType;Xx30:=Xx0:fofType
% Found x2 as proof of (P3 Xx31)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx21:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx21:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx22:=Xx:fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx22)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx13:=Xx:fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx13)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx11:=A:fofType
% Found x1 as proof of (P3 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx11:=A:fofType
% Found x1 as proof of (P3 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx11:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx31:=Xx:fofType;Xx30:=Xx0:fofType
% Found x2 as proof of (P3 Xx31)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx11:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType
% Found x1 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx22:=Xx:fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx22)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx13:=Xx:fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx13)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx22:=Xx:fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx22)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx31:=Xx:fofType;Xx30:=Xx0:fofType
% Found x2 as proof of (P3 Xx31)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx13:=Xx:fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx13)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx30:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx21:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx21:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx30:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx21:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx22:=Xx:fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx22)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx30:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx11:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx31:=Xx:fofType;Xx30:=Xx0:fofType
% Found x2 as proof of (P3 Xx31)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx13:=Xx:fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx13)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx21:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=((setadjoin Xx) emptyset):fofType;Xx12:=Xx0:fofType
% Found x2 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx11:=A:fofType
% Found x1 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx12:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx12)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx20:=A:fofType
% Found x1 as proof of (P3 Xx20)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx11:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx02:=Xx:fofType
% Found x1 as proof of (P3 Xx1)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx02:=Xx:fofType
% Found x1 as proof of (P3 Xx1)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx4:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx:fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx2:=Xx0:fofType;Xx20:=Xx:fofType
% Found x2 as proof of (P3 Xx20)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx11:=A:fofType
% Found x1 as proof of (P3 Xx11)
% Found x1:((in Xx) A)
% Instantiate: Xx01:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx00)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx00)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx2:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx20:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx4:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx20:=Xx0:fofType;Xx21:=Xx:fofType
% Found x2 as proof of (P3 Xx21)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx30:=Xx:fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx20:=Xx0:fofType
% Found x2 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType
% Found x1 as proof of (P3 Xx3)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx30:=Xx:fofType
% Found x2 as proof of (P3 Xx30)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx10:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx1:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx1)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx0:fofType;Xx4:=((setadjoin Xx) emptyset):fofType
% Found x2 as proof of (P3 Xx4)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx40:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx40)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=((setadjoin Xx) emptyset):fofType;Xx4:=Xx0:fofType
% Found x2 as proof of (P3 Xx5)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=Xx:fofType;Xx4:=A:fofType
% Found x1 as proof of (P3 Xx4)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx2:=Xx:fofType
% Found x1 as proof of (P3 Xx3)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx1:=Xx:fofType
% Found x1 as proof of (P3 Xx2)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx00)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx00:=Xx:fofType;Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x1:((in Xx) A)
% Instantiate: Xx10:=A:fofType
% Found x1 as proof of (P3 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx4:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% Found x2 as proof of (P3 Xx10)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=((setadjoin Xx) emptyset):fofType;Xx11:=Xx0:fofType
% Found x2 as proof of (P3 Xx11)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx5:=Xx0:fofType;Xx4:=Xx:fofType
% Found x2 as proof of ((in Xx5) ((setadjoin Xx4) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx00)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx3:=Xx:fofType;Xx4:=Xx0:fofType
% Found x2 as proof of ((in Xx4) ((setadjoin Xx3) emptyset))
% Found x1:((in Xx) A)
% Instantiate: Xx3:=A:fofType;Xx00:=Xx:fofType
% Found x1 as proof of (P3 Xx00)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx01)
% Found x1:((in Xx) A)
% Instantiate: Xx2:=A:fofType;Xx01:=Xx:fofType
% Found x1 as proof of (P3 Xx01)
% Found x2:((in Xx0) ((setadjoin Xx) emptyset))
% Instantiate: Xx4:=((setadjoin Xx) emptyset):fofType;Xx10:=Xx0:fofType
% F
% EOF
%------------------------------------------------------------------------------