TSTP Solution File: SET044^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SET044^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n101.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 13:30:02 EDT 2014
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SET044^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n101.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 08:16:16 CDT 2014
% % CPUTime : 300.08
% 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 0x2032c20>, <kernel.DependentProduct object at 0x2032710>) of role type named cF
% Using role type
% Declaring cF:(fofType->(fofType->Prop))
% FOF formula (((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), ((iff ((cF Xx) Xy)) ((cF Xx) Xx)))))->((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> (forall (Xz:fofType), ((iff ((cF Xz) Xy)) (((cF Xz) Xx)->False))))))->False)) of role conjecture named cPELL40
% Conjecture to prove = (((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), ((iff ((cF Xx) Xy)) ((cF Xx) Xx)))))->((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> (forall (Xz:fofType), ((iff ((cF Xz) Xy)) (((cF Xz) Xx)->False))))))->False)):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), ((iff ((cF Xx) Xy)) ((cF Xx) Xx)))))->((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> (forall (Xz:fofType), ((iff ((cF Xz) Xy)) (((cF Xz) Xx)->False))))))->False))']
% Parameter fofType:Type.
% Parameter cF:(fofType->(fofType->Prop)).
% Trying to prove (((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), ((iff ((cF Xx) Xy)) ((cF Xx) Xx)))))->((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> (forall (Xz:fofType), ((iff ((cF Xz) Xy)) (((cF Xz) Xx)->False))))))->False))
% Found x300:=(x30 x01):False
% Found (x30 x01) as proof of False
% Found ((x3 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))) as proof of ((cF Xz) Xx)
% Found x300:=(x30 x01):False
% Found (x30 x01) as proof of False
% Found ((x3 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))) as proof of ((cF Xz) x1)
% Found (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))) as proof of ((cF Xz) x1)
% Found ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) as proof of False
% Found (fun (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))))) as proof of False
% Found (fun (x3:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x3:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x3:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))))) as proof of False
% Found ((and_rect0 False) (fun (x3:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x3:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x3) x20)) False) (fun (x3:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x4:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x3 (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))) (x4 (fun (x01:((cF Xz) Xx))=> ((x3 x01) x01)))))) as proof of False
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x300:=(x30 x5):False
% Found (x30 x5) as proof of False
% Found ((x3 x5) x5) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of (not ((cF Xz) Xx))
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found x300:=(x30 x5):False
% Found (x30 x5) as proof of False
% Found ((x3 x5) x5) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of (not ((cF Xz) Xx))
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) x1)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) x1)
% Found ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) as proof of False
% Found (fun (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of False
% Found (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found ((and_rect0 False) (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found (((fun (P:Type) (x3:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x3) x20)) False) (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x500:=(x50 x01):False
% Found (x50 x01) as proof of False
% Found ((x5 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x01):False
% Found (x50 x01) as proof of False
% Found ((x5 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) as proof of False
% Found (fun (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of ((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found x500:=(x50 x01):False
% Found (x50 x01) as proof of False
% Found ((x5 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x01):False
% Found (x50 x01) as proof of False
% Found ((x5 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) x1)
% Found (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))) as proof of ((cF Xz) x1)
% Found ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) as proof of False
% Found (fun (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of False
% Found (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x5) x20)) False) (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))) (x6 (fun (x01:((cF Xz) Xx))=> ((x5 x01) x01)))))) as proof of False
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x5) x20)) False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x3)
% Instantiate: Xx0:=x3:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x60:((cF Xx0) x3)
% Instantiate: Xx0:=x3:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x300:=(x30 x5):False
% Found (x30 x5) as proof of False
% Found ((x3 x5) x5) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of (not ((cF Xz) Xx))
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) Xx)
% Found x300:=(x30 x5):False
% Found (x30 x5) as proof of False
% Found ((x3 x5) x5) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of False
% Found (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)) as proof of (not ((cF Xz) Xx))
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) x1)
% Found (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))) as proof of ((cF Xz) x1)
% Found ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) as proof of False
% Found (fun (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of False
% Found (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found ((and_rect0 False) (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found (((fun (P:Type) (x3:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x3) x20)) False) (fun (x3:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x4:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x3 (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))) (x4 (fun (x5:((cF Xz) Xx))=> ((x3 x5) x5)))))) as proof of False
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False)))->((cF Xx) x1))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False)))->((cF Xx) Xx))
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False)))->((cF Xx) x1))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x40) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (((cF Xz) Xx0)->False)))->((cF Xx) x1)))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False)))->((cF Xx) Xx))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (((cF Xz) Xx0)->False))))=> x30) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (((cF Xz) Xx0)->False)))->((cF Xx) Xx)))
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) x1)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx)))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) x1)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1)))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x4:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x4:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x30:((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x4:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found (fun (x4:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0)))
% Found x20:((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x4:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found (fun (x4:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx)))
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x20) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found x30:((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x0))
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found x40:((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x40:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x1))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x0))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) x0)))
% Found x20:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x20) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x20) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) Xx)))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx)))
% Found x30:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0)))
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x0))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) x0)))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) Xx)))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx)))
% Found x40:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found (fun (x5:(((cF Xx0) x0)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) x0)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0)))
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) Xx))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x30) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) Xx)))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of ((forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0))))->((cF Xx) x1))
% Found (fun (x5:fofType) (x6:(forall (Xz:fofType), ((iff ((cF Xz) x5)) (not ((cF Xz) Xx0)))))=> x40) as proof of (forall (x:fofType), ((forall (Xz:fofType), ((iff ((cF Xz) x)) (not ((cF Xz) Xx0))))->((cF Xx) x1)))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) x1)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1)))
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found (fun (x5:(((cF Xx0) x1)->((cF Xx0) Xx0))) (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) x1)->((cF Xx0) Xx0))->((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx)))
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x42:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x42 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x500:=(x50 x02):False
% Found (x50 x02) as proof of False
% Found ((x5 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x02):False
% Found (x50 x02) as proof of False
% Found ((x5 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))) as proof of ((cF Xz) x1)
% Found (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))) as proof of ((cF Xz) x1)
% Found ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) as proof of False
% Found (fun (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))))) as proof of False
% Found (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x5) x20)) False) (fun (x5:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x6:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx))=> ((x5 x02) x02)))))) as proof of False
% Found x500:=(x50 x02):False
% Found (x50 x02) as proof of False
% Found ((x5 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))) as proof of ((cF Xz) Xx0)
% Found x500:=(x50 x02):False
% Found (x50 x02) as proof of False
% Found ((x5 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) as proof of False
% Found (fun (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))))) as proof of (((((cF Xz) Xx0)->False)->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02))))) as proof of ((((cF Xz) x3)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(((cF Xz) Xx0)->False))) ((((cF Xz) Xx0)->False)->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x6:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x5 (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))) (x6 (fun (x02:((cF Xz) Xx0))=> ((x5 x02) x02)))))) as proof of False
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x5) x20)) False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x50) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x42:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x42 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x42:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x42 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx0))
% Found (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx0)
% Found (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx0)
% Found (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx0)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx0))
% Found (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))) as proof of ((cF Xz) x3)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x3))->False)
% Found (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x3)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x3))) P) x5) x40)) False) (fun (x5:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x6:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx0))=> ((x5 x7) x7)))))) as proof of False
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) Xx)
% Found x500:=(x50 x7):False
% Found (x50 x7) as proof of False
% Found ((x5 x7) x7) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of False
% Found (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)) as proof of (not ((cF Xz) Xx))
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))) as proof of ((cF Xz) x1)
% Found ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) as proof of False
% Found (fun (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of False
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found ((and_rect0 False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found (((fun (P:Type) (x5:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x5) x20)) False) (fun (x5:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x6:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x5 (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))) (x6 (fun (x7:((cF Xz) Xx))=> ((x5 x7) x7)))))) as proof of False
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x32:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) Xx)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x32 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x61 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x61:((cF Xx0) x3)
% Instantiate: Xx0:=x3:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x32:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x32 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x22:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x22 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x61 as proof of ((cF Xx) Xx)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x61 as proof of ((cF Xx) x0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x61 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x61 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x61:((cF Xx0) x3)
% Instantiate: Xx0:=x3:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x61 as proof of ((cF Xx) x1)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx0) Xx0)
% Found x61:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x61 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx0)->False)->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(((cF Xz) Xx0)->False))) ((((cF Xz) Xx0)->False)->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x51 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx0)->False)->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(((cF Xz) Xx0)->False))) ((((cF Xz) Xx0)->False)->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found x30:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x51 as proof of ((cF Xx0) x3)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x51 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x51 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of ((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx0)->False)->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x3)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(((cF Xz) Xx0)->False))) ((((cF Xz) Xx0)->False)->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x3)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx0))=> ((x7 x02) x02)))))) as proof of False
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x02):False
% Found (x70 x02) as proof of False
% Found ((x7 x02) x02) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of False
% Found (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))) (x8 (fun (x02:((cF Xz) Xx))=> ((x7 x02) x02)))))) as proof of False
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx0)->False)
% Found (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))))) as proof of (((((cF Xz) Xx0)->False)->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01))))) as proof of ((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(((cF Xz) Xx0)->False))->(((((cF Xz) Xx0)->False)->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(((cF Xz) Xx0)->False))) ((((cF Xz) Xx0)->False)->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(((cF Xz) Xx0)->False))) (x8:((((cF Xz) Xx0)->False)->((cF Xz) x5)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx0))=> ((x7 x01) x01)))))) as proof of False
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x01):False
% Found (x70 x01) as proof of False
% Found ((x7 x01) x01) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of False
% Found (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)) as proof of (((cF Xz) Xx)->False)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) as proof of False
% Found (fun (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of (((((cF Xz) Xx)->False)->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01))))) as proof of ((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(((cF Xz) Xx)->False))->(((((cF Xz) Xx)->False)->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(((cF Xz) Xx)->False))) ((((cF Xz) Xx)->False)->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(((cF Xz) Xx)->False))) (x8:((((cF Xz) Xx)->False)->((cF Xz) x1)))=> ((x7 (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))) (x8 (fun (x01:((cF Xz) Xx))=> ((x7 x01) x01)))))) as proof of False
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x41) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x4:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x31) as proof of ((cF Xx) x0)
% Found (fun (x4:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x31) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x41) as proof of ((cF Xx) x1)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x3)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x3))->False)
% Found (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x3)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x3))->False))
% Found (and_rect00 (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect0 False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x3)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x3))->P)))=> (((((and_rect (((cF Xz) x3)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x3))) P) x7) x40)) False) (fun (x7:(((cF Xz) x3)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x3)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx0)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx0))
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))) as proof of ((cF Xz) x5)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx0))->((cF Xz) x5))->False)
% Found (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x5)->(not ((cF Xz) Xx0)))->(((not ((cF Xz) Xx0))->((cF Xz) x5))->P)))=> (((((and_rect (((cF Xz) x5)->(not ((cF Xz) Xx0)))) ((not ((cF Xz) Xx0))->((cF Xz) x5))) P) x7) x60)) False) (fun (x7:(((cF Xz) x5)->(not ((cF Xz) Xx0)))) (x8:((not ((cF Xz) Xx0))->((cF Xz) x5)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx0))=> ((x7 x9) x9)))))) as proof of False
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) Xx)
% Found x700:=(x70 x9):False
% Found (x70 x9) as proof of False
% Found ((x7 x9) x9) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of False
% Found (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)) as proof of (not ((cF Xz) Xx))
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))) as proof of ((cF Xz) x1)
% Found ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) as proof of False
% Found (fun (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of False
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of (((not ((cF Xz) Xx))->((cF Xz) x1))->False)
% Found (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9))))) as proof of ((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->False))
% Found (and_rect10 (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found ((and_rect1 False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found (((fun (P:Type) (x7:((((cF Xz) x1)->(not ((cF Xz) Xx)))->(((not ((cF Xz) Xx))->((cF Xz) x1))->P)))=> (((((and_rect (((cF Xz) x1)->(not ((cF Xz) Xx)))) ((not ((cF Xz) Xx))->((cF Xz) x1))) P) x7) x20)) False) (fun (x7:(((cF Xz) x1)->(not ((cF Xz) Xx)))) (x8:((not ((cF Xz) Xx))->((cF Xz) x1)))=> ((x7 (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))) (x8 (fun (x9:((cF Xz) Xx))=> ((x7 x9) x9)))))) as proof of False
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x20) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x30) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x40:((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x40) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x1)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x31 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((cF Xx) x0)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x41:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((cF Xx) Xx)
% Found (fun (x5:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x41) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x60:((cF Xx0) x3)
% Instantiate: Xx0:=x3:fofType
% Found x60 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x33:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x33 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx0) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x3:fofType
% Found x50 as proof of ((cF Xx0) x3)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x31 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x31:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x31 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x33:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x33 as proof of ((cF Xx) x1)
% Found x43:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x43 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx0:=x0:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) Xx))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((cF Xx) x0)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x0)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x0))->((cF Xx) x0))
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) x1)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) x1))
% Found x51:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((cF Xx) Xx)
% Found (fun (x6:(((cF Xx0) Xx0)->((cF Xx0) x1)))=> x51) as proof of ((((cF Xx0) Xx0)->((cF Xx0) x1))->((cF Xx) Xx))
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x60:((cF Xx0) x1)
% Instantiate: Xx0:=x1:fofType
% Found x60 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x33:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x33 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x41:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x40 as proof of ((cF Xx) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) x0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x0)
% Found x40:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) Xx0)
% Found x50:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x20 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x41 as proof of ((cF Xx) Xx)
% Found x41:((cF Xx) x1)
% Instantiate: Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) Xx0)
% Found x41:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x41 as proof of ((cF Xx0) Xx0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType;Xx0:=Xx:fofType
% Found x30 as proof of ((cF Xx0) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x1:fofType
% Found x50 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType
% Found x50 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType;Xx0:=Xx:fofType
% Found x21 as proof of ((cF Xx0) x0)
% Found x20:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x20 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x21:((cF Xx) Xx)
% Instantiate: Xx:=x0:fofType
% Found x21 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) x0)
% Instantiate: Xx:=x0:fofType
% Found x30 as proof of ((cF Xx) Xx)
% Found x60:((cF Xx0) x0)
% Instantiate: Xx:=Xx0:fofType
% Found x60 as proof of ((cF Xx) x0)
% Found x33:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x33 as proof of ((cF Xx) x1)
% Found x50:((cF Xx0) Xx0)
% Instantiate: Xx:=Xx0:fofType;Xx0:=x0:fofType
% Found x50 as proof of ((cF Xx) x0)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x30:((cF Xx) Xx)
% Instantiate: Xx:=x1:fofType
% Found x30 as proof of ((cF Xx) x1)
% Found x40:((cF Xx) x1)
% Instantiate: Xx:=x1:fofType
% Found x40 as proof of ((cF Xx) Xx)
% Found x40:((cF Xx)
% EOF
%------------------------------------------------------------------------------