TSTP Solution File: SYO112^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO112^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:50:40 EDT 2022
% Result : Timeout 286.19s 286.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO112^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Mar 11 15:45:27 EST 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.34 Python 2.7.5
% 6.34/6.51 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 6.34/6.51 FOF formula (<kernel.Constant object at 0x11facf8>, <kernel.DependentProduct object at 0x2b4b63032050>) of role type named cP
% 6.34/6.51 Using role type
% 6.34/6.51 Declaring cP:(fofType->Prop)
% 6.34/6.51 FOF formula ((iff (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))) ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) of role conjecture named cTHM53
% 6.34/6.51 Conjecture to prove = ((iff (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))) ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))):Prop
% 6.34/6.51 Parameter fofType_DUMMY:fofType.
% 6.34/6.51 We need to prove ['((iff (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))) ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))']
% 6.34/6.51 Parameter fofType:Type.
% 6.34/6.51 Parameter cP:(fofType->Prop).
% 6.34/6.51 Trying to prove ((iff (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))) ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 6.34/6.51 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x20:=(x2 x10):(cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x20:=(x2 x10):(cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x20:=(x2 x10):(cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x20:=(x2 x10):(cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x20:=(x2 x10):(cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found (x2 x10) as proof of (cP X)
% 6.34/6.51 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 6.34/6.51 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x20:=(x2 x10):(cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x11 (x0 x10)) as proof of (cP X0)
% 9.15/9.38 Found ((fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X0)) (x0 x10)) as proof of (cP X0)
% 9.15/9.38 Found ((fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X0)) (x0 x10)) as proof of (cP X0)
% 9.15/9.38 Found x20:=(x2 x10):(cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x20:=(x2 x10):(cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x20:=(x2 x10):(cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found x100:=(x10 X):(cP X)
% 9.15/9.38 Found (x10 X) as proof of (cP X)
% 9.15/9.38 Found ((x1 x2) X) as proof of (cP X)
% 9.15/9.38 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (cP X)
% 9.15/9.38 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 9.15/9.38 Found x10:=(x1 x00):(forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x00) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x100:=(x10 x2):(cP x2)
% 9.15/9.38 Found (x10 x2) as proof of (cP x2)
% 9.15/9.38 Found ((x1 x00) x2) as proof of (cP x2)
% 9.15/9.38 Found ((x1 x00) x2) as proof of (cP x2)
% 9.15/9.38 Found x100:=(x10 X):(cP X)
% 9.15/9.38 Found (x10 X) as proof of (cP X)
% 9.15/9.38 Found ((x1 x2) X) as proof of (cP X)
% 9.15/9.38 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (cP X)
% 9.15/9.38 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 9.15/9.38 Found x10:=(x1 x01):(forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x01) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found (x1 x01) as proof of (forall (X0:fofType), (cP X0))
% 9.15/9.38 Found x00:=(x0 x11):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found (x0 x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x00 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 9.15/9.38 Found x20:=(x2 x10):(cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found (x2 x10) as proof of (cP X)
% 9.15/9.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x0 x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x11 (x0 x10)) as proof of (cP X0)
% 10.98/11.14 Found ((fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X0)) (x0 x10)) as proof of (cP X0)
% 10.98/11.14 Found ((fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X0)) (x0 x10)) as proof of (cP X0)
% 10.98/11.14 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x00 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x20:=(x2 x10):(cP X)
% 10.98/11.14 Found (x2 x10) as proof of (cP X)
% 10.98/11.14 Found (x2 x10) as proof of (cP X)
% 10.98/11.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x20:=(x2 x10):(cP X)
% 10.98/11.14 Found (x2 x10) as proof of (cP X)
% 10.98/11.14 Found (x2 x10) as proof of (cP X)
% 10.98/11.14 Found x20:=(x2 x11):(cP X)
% 10.98/11.14 Found (x2 x11) as proof of (cP X)
% 10.98/11.14 Found (x2 x11) as proof of (cP X)
% 10.98/11.14 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found x100:=(x10 X):(cP X)
% 10.98/11.14 Found (x10 X) as proof of (cP X)
% 10.98/11.14 Found ((x1 x2) X) as proof of (cP X)
% 10.98/11.14 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (cP X)
% 10.98/11.14 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 10.98/11.14 Found ex_intro0000:=(ex_intro000 x0):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (ex_intro000 x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found ((ex_intro00 X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (((ex_intro0 (fun (Y:fofType)=> (cP Y))) X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 10.98/11.14 Found (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0)) as proof of ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 10.98/11.14 Found x200:=(x20 X):(cP X)
% 10.98/11.14 Found (x20 X) as proof of (cP X)
% 10.98/11.14 Found ((x2 x0) X) as proof of (cP X)
% 10.98/11.14 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of (cP X)
% 10.98/11.14 Found (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->(cP X))
% 10.98/11.14 Found (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of (((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->(cP X)))
% 10.98/11.14 Found (and_rect00 (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 10.98/11.14 Found ((and_rect0 (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 10.98/11.14 Found (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 10.98/11.15 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))) as proof of (cP X)
% 10.98/11.15 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 10.98/11.15 Found ((conj10 (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 10.98/11.15 Found (((conj1 (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 10.98/11.15 Found ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 10.98/11.15 Found ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 10.98/11.15 Found (fun (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 10.98/11.15 Found (fun (x:((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 10.98/11.15 Found (fun (x:((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of (((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))->(forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y))))))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x20:=(x2 x11):(cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x20:=(x2 x11):(cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x20:=(x2 x11):(cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found x20:=(x2 x11):(cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x20:=(x2 x10):(cP X)
% 17.26/17.43 Found (x2 x10) as proof of (cP X)
% 17.26/17.43 Found (x2 x10) as proof of (cP X)
% 17.26/17.43 Found x20:(cP X)
% 17.26/17.43 Instantiate: X0:=X:fofType
% 17.26/17.43 Found x20 as proof of (cP X0)
% 17.26/17.43 Found x20:(cP X)
% 17.26/17.43 Instantiate: X0:=X:fofType
% 17.26/17.43 Found x20 as proof of (cP X0)
% 17.26/17.43 Found x4:(cP x3)
% 17.26/17.43 Instantiate: X:=x3:fofType
% 17.26/17.43 Found x4 as proof of (cP X)
% 17.26/17.43 Found x20:=(x2 x11):(cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found (x2 x11) as proof of (cP X)
% 17.26/17.43 Found x20:=(x2 x10):(cP X)
% 17.26/17.43 Found (x2 x10) as proof of (cP X)
% 17.26/17.43 Found (x2 x10) as proof of (cP X)
% 17.26/17.43 Found x00:=(x0 x1):(cP x1)
% 17.26/17.43 Found (x0 x1) as proof of (cP x1)
% 17.26/17.43 Found (x0 x1) as proof of (cP x1)
% 17.26/17.43 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x30:=(x3 X):(cP X)
% 17.26/17.43 Found (x3 X) as proof of (cP X)
% 17.26/17.43 Found (x3 X) as proof of (cP X)
% 17.26/17.43 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 17.26/17.43 Found x20:=(x2 x3):(cP X)
% 17.26/17.43 Instantiate: X:=X0:fofType
% 17.26/17.43 Found (x2 x3) as proof of (cP X0)
% 17.26/17.43 Found x20:=(x2 x3):(cP X)
% 17.26/17.43 Found (x2 x3) as proof of (cP X0)
% 17.26/17.43 Found (x2 x3) as proof of (cP X0)
% 17.26/17.43 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found (x2 x3) as proof of (cP X0)
% 17.26/17.43 Found (x2 x3) as proof of (cP X0)
% 17.26/17.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 17.26/17.43 Found x20:(cP X)
% 17.26/17.43 Instantiate: X0:=X:fofType
% 17.26/17.43 Found x20 as proof of (cP X0)
% 17.26/17.43 Found x4:(cP x3)
% 17.26/17.43 Instantiate: X:=x3:fofType
% 17.26/17.43 Found x4 as proof of (cP X)
% 17.26/17.43 Found x20:(cP X)
% 17.26/17.43 Instantiate: X0:=X:fofType
% 17.26/17.43 Found x20 as proof of (cP X0)
% 17.26/17.43 Found x50:(cP X0)
% 17.26/17.43 Instantiate: X:=X0:fofType
% 17.26/17.43 Found x50 as proof of (cP X)
% 17.26/17.43 Found x50:(cP X0)
% 17.26/17.43 Instantiate: X:=X0:fofType
% 17.26/17.43 Found x50 as proof of (cP X)
% 17.26/17.43 Found x20:(cP X)
% 17.26/17.43 Instantiate: X0:=X:fofType
% 18.95/19.16 Found x20 as proof of (cP X0)
% 18.95/19.16 Found x30:=(x3 X):(cP X)
% 18.95/19.16 Found (x3 X) as proof of (cP X)
% 18.95/19.16 Found (x3 X) as proof of (cP X)
% 18.95/19.16 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 18.95/19.16 Found x20:=(x2 x3):(cP X)
% 18.95/19.16 Instantiate: X:=X0:fofType
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x3):(cP X)
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x10):(cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found x20:(cP X)
% 18.95/19.16 Instantiate: X0:=X:fofType
% 18.95/19.16 Found x20 as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x11):(cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found x20:=(x2 x11):(cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x10):(cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 18.95/19.16 Found x20:=(x2 x10):(cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x3):(cP X)
% 18.95/19.16 Instantiate: X:=X0:fofType
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 18.95/19.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 18.95/19.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 18.95/19.16 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found x20:(cP X)
% 18.95/19.16 Instantiate: X0:=X:fofType
% 18.95/19.16 Found x20 as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x11):(cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x3):(cP X)
% 18.95/19.16 Instantiate: X:=X0:fofType
% 18.95/19.16 Found (x2 x3) as proof of (cP X0)
% 18.95/19.16 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 18.95/19.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 18.95/19.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 18.95/19.16 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x11):(cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found (x2 x11) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x40):(cP X)
% 18.95/19.16 Found (x2 x40) as proof of (cP X)
% 18.95/19.16 Found (x2 x40) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x10):(cP X)
% 18.95/19.16 Instantiate: X0:=X:fofType
% 18.95/19.16 Found (x2 x10) as proof of (cP X0)
% 18.95/19.16 Found (x2 x10) as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x10):(cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found (x2 x10) as proof of (cP X)
% 18.95/19.16 Found x20:=(x2 x40):(cP X)
% 18.95/19.16 Instantiate: X0:=X:fofType
% 18.95/19.16 Found (x2 x40) as proof of (cP X0)
% 18.95/19.16 Found (x2 x40) as proof of (cP X0)
% 18.95/19.16 Found x20:=(x2 x40):(cP X)
% 18.95/19.16 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x20:=(x2 x40):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x40) as proof of (cP X0)
% 20.37/20.54 Found (x2 x40) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x40):(cP X0)
% 20.37/20.54 Found (x5 x40) as proof of (cP X0)
% 20.37/20.54 Found (x5 x40) as proof of (cP X0)
% 20.37/20.54 Found x20:=(x2 x40):(cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x10):(cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x10):(cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found x20:=(x2 x40):(cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x50:=(x5 x10):(cP X0)
% 20.37/20.54 Instantiate: X:=X0:fofType
% 20.37/20.54 Found (x5 x10) as proof of (cP X)
% 20.37/20.54 Found (x5 x10) as proof of (cP X)
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: x3:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP x3)
% 20.37/20.54 Found (x2 x10) as proof of (cP x3)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Instantiate: X0:=X:fofType
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found (x2 x10) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x10):(cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found (x5 x10) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x40):(cP X0)
% 20.37/20.54 Found (x5 x40) as proof of (cP X0)
% 20.37/20.54 Found (x5 x40) as proof of (cP X0)
% 20.37/20.54 Found x50:=(x5 x40):(cP X0)
% 20.37/20.54 Instantiate: X:=X0:fofType
% 20.37/20.54 Found (x5 x40) as proof of (cP X)
% 20.37/20.54 Found (x5 x40) as proof of (cP X)
% 20.37/20.54 Found x20:=(x2 x40):(cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found (x2 x40) as proof of (cP X)
% 20.37/20.54 Found x50:=(x5 x10):(cP X0)
% 20.37/20.54 Instantiate: X:=X0:fofType
% 20.37/20.54 Found (x5 x10) as proof of (cP X)
% 20.37/20.54 Found (x5 x10) as proof of (cP X)
% 20.37/20.54 Found x20:=(x2 x10):(cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found (x2 x10) as proof of (cP X)
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 20.37/20.54 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x20:=(x2 x40):(cP X)
% 22.85/23.02 Found (x2 x40) as proof of (cP X0)
% 22.85/23.02 Found (x2 x40) as proof of (cP X0)
% 22.85/23.02 Found (x2 x40) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x11):(cP X)
% 22.85/23.02 Found (x2 x11) as proof of (cP X)
% 22.85/23.02 Found (x2 x11) as proof of (cP X)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found x50:=(x5 x10):(cP X0)
% 22.85/23.02 Instantiate: X:=X0:fofType
% 22.85/23.02 Found (x5 x10) as proof of (cP X)
% 22.85/23.02 Found (x5 x10) as proof of (cP X)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Found (x2 x10) as proof of (cP X)
% 22.85/23.02 Found (x2 x10) as proof of (cP X)
% 22.85/23.02 Found x50:=(x5 x10):(cP X0)
% 22.85/23.02 Found (x5 x10) as proof of (cP X0)
% 22.85/23.02 Found (x5 x10) as proof of (cP X0)
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x00:=(x0 x1):(cP x1)
% 22.85/23.02 Found (x0 x1) as proof of (cP x1)
% 22.85/23.02 Found (x0 x1) as proof of (cP x1)
% 22.85/23.02 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x20:(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found x20 as proof of (cP X0)
% 22.85/23.02 Found x40:(cP X0)
% 22.85/23.02 Instantiate: X:=X0:fofType
% 22.85/23.02 Found x40 as proof of (cP X)
% 22.85/23.02 Found x30:=(x3 X):(cP X)
% 22.85/23.02 Found (x3 X) as proof of (cP X)
% 22.85/23.02 Found (x3 X) as proof of (cP X)
% 22.85/23.02 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 22.85/23.02 Found x20:=(x2 x3):(cP X)
% 22.85/23.02 Instantiate: X:=X0:fofType
% 22.85/23.02 Found (x2 x3) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x3):(cP X)
% 22.85/23.02 Found (x2 x3) as proof of (cP X0)
% 22.85/23.02 Found (x2 x3) as proof of (cP X0)
% 22.85/23.02 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found (x2 x3) as proof of (cP X0)
% 22.85/23.02 Found (x2 x3) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x40):(cP X)
% 22.85/23.02 Found (x2 x40) as proof of (cP X)
% 22.85/23.02 Found (x2 x40) as proof of (cP X)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found x20:=(x2 x10):(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found (x2 x10) as proof of (cP X0)
% 22.85/23.02 Found x50:(cP X0)
% 22.85/23.02 Instantiate: X:=X0:fofType
% 22.85/23.02 Found x50 as proof of (cP X)
% 22.85/23.02 Found x20:(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found x20 as proof of (cP X0)
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x50:(cP X0)
% 22.85/23.02 Instantiate: X:=X0:fofType
% 22.85/23.02 Found x50 as proof of (cP X)
% 22.85/23.02 Found x20:(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found x20 as proof of (cP X0)
% 22.85/23.02 Found x20:(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found x20 as proof of (cP X0)
% 22.85/23.02 Found x20:(cP X)
% 22.85/23.02 Instantiate: X0:=X:fofType
% 22.85/23.02 Found x20 as proof of (cP X0)
% 22.85/23.02 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 22.85/23.02 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x20:=(x2 x10):(cP X)
% 24.88/25.05 Found (x2 x10) as proof of (cP x3)
% 24.88/25.05 Found (x2 x10) as proof of (cP x3)
% 24.88/25.05 Found (x2 x10) as proof of (cP x3)
% 24.88/25.05 Found x20:=(x2 x10):(cP X)
% 24.88/25.05 Found (x2 x10) as proof of (cP X)
% 24.88/25.05 Found (x2 x10) as proof of (cP X)
% 24.88/25.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x30:=(x3 X):(cP X)
% 24.88/25.05 Found (x3 X) as proof of (cP X)
% 24.88/25.05 Found (x3 X) as proof of (cP X)
% 24.88/25.05 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 24.88/25.05 Found x20:=(x2 x3):(cP X)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x20:=(x2 x3):(cP X)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x20:=(x2 x40):(cP X)
% 24.88/25.05 Found (x2 x40) as proof of (cP X)
% 24.88/25.05 Found (x2 x40) as proof of (cP X)
% 24.88/25.05 Found x50:=(x5 x10):(cP X0)
% 24.88/25.05 Found (x5 x10) as proof of (cP X0)
% 24.88/25.05 Found (x5 x10) as proof of (cP X0)
% 24.88/25.05 Found x50:=(x5 x10):(cP X0)
% 24.88/25.05 Found (x5 x10) as proof of (cP X0)
% 24.88/25.05 Found (x5 x10) as proof of (cP X0)
% 24.88/25.05 Found x50:=(x5 x40):(cP X0)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found (x5 x40) as proof of (cP X)
% 24.88/25.05 Found (x5 x40) as proof of (cP X)
% 24.88/25.05 Found x20:=(x2 x40):(cP X)
% 24.88/25.05 Found (x2 x40) as proof of (cP X)
% 24.88/25.05 Found (x2 x40) as proof of (cP X)
% 24.88/25.05 Found x50:(cP X0)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found x50 as proof of (cP X)
% 24.88/25.05 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x30:=(x3 X):(cP X)
% 24.88/25.05 Found (x3 X) as proof of (cP X)
% 24.88/25.05 Found (x3 X) as proof of (cP X)
% 24.88/25.05 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 24.88/25.05 Found x20:=(x2 x3):(cP X)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x20:=(x2 x3):(cP X)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found (x2 x3) as proof of (cP X0)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x2 x40) as proof of (cP X0)
% 24.88/25.05 Found (x2 x40) as proof of (cP X0)
% 24.88/25.05 Found (x2 x40) as proof of (cP X0)
% 24.88/25.05 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found (x2 x10) as proof of (cP X0)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x50:(cP X0)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found x50 as proof of (cP X)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x20:=(x2 x10):(cP X)
% 24.88/25.05 Found (x2 x10) as proof of (cP X)
% 24.88/25.05 Found (x2 x10) as proof of (cP X)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x50:(cP X0)
% 24.88/25.05 Instantiate: X:=X0:fofType
% 24.88/25.05 Found x50 as proof of (cP X)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Instantiate: X0:=X:fofType
% 24.88/25.05 Found x20 as proof of (cP X0)
% 24.88/25.05 Found x20:(cP X)
% 24.88/25.05 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 25.40/25.59 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 25.40/25.59 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 25.40/25.59 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 25.40/25.59 Found x00:=(x0 X):(cP X)
% 25.40/25.59 Found (x0 X) as proof of (cP X)
% 25.40/25.59 Found (x0 X) as proof of (cP X)
% 25.40/25.59 Found (x2 (x0 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 25.40/25.59 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 25.40/25.59 Found (and_rect00 (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found ((and_rect0 ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) x1)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found x00:=(x0 x10):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found x00 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 25.40/25.59 Found (x2 x10) as proof of (cP X0)
% 25.40/25.59 Found (x2 x10) as proof of (cP X0)
% 25.40/25.59 Found (x2 x10) as proof of (cP X0)
% 25.40/25.59 Found x100:=(x10 X):(cP X)
% 25.40/25.59 Found (x10 X) as proof of (cP X)
% 25.40/25.59 Found ((x1 x2) X) as proof of (cP X)
% 25.40/25.59 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (cP X)
% 25.40/25.59 Found (fun (x2:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> ((x1 x2) X)) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 25.40/25.59 Found x20:=(x2 x3):(cP X)
% 25.40/25.59 Instantiate: X:=X0:fofType
% 25.40/25.59 Found (x2 x3) as proof of (cP X0)
% 25.40/25.59 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 25.40/25.59 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 25.40/25.59 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 25.40/25.59 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 25.40/25.59 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 25.40/25.59 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 26.92/27.13 Found x10:=(x1 x01):(forall (X0:fofType), (cP X0))
% 26.92/27.13 Found (x1 x01) as proof of (forall (X0:fofType), (cP X0))
% 26.92/27.13 Found (x1 x01) as proof of (forall (X0:fofType), (cP X0))
% 26.92/27.13 Found x00:=(x0 x11):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x0 x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x0 x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found x20:(cP X)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found x20 as proof of (cP X0)
% 26.92/27.13 Found x20:=(x2 x10):(cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found x20:(cP X)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found x20 as proof of (cP X0)
% 26.92/27.13 Found x20:=(x2 x10):(cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found x20:=(x2 x10):(cP X)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found (x2 x10) as proof of (cP X0)
% 26.92/27.13 Found (x2 x10) as proof of (cP X0)
% 26.92/27.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found x20:=(x2 x10):(cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X0)
% 26.92/27.13 Found (x2 x10) as proof of (cP X0)
% 26.92/27.13 Found (x2 x10) as proof of (cP X0)
% 26.92/27.13 Found x20:=(x2 x10):(cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found (x2 x10) as proof of (cP X)
% 26.92/27.13 Found x20:(cP X)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found x20 as proof of (cP X0)
% 26.92/27.13 Found x50:(cP X0)
% 26.92/27.13 Instantiate: X:=X0:fofType
% 26.92/27.13 Found x50 as proof of (cP X)
% 26.92/27.13 Found x50:(cP X0)
% 26.92/27.13 Instantiate: X:=X0:fofType
% 26.92/27.13 Found x50 as proof of (cP X)
% 26.92/27.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 26.92/27.13 Found x20:(cP X)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found x20 as proof of (cP X0)
% 26.92/27.13 Found x100:=(x10 x2):(cP x2)
% 26.92/27.13 Found (x10 x2) as proof of (cP x2)
% 26.92/27.13 Found ((x1 x00) x2) as proof of (cP x2)
% 26.92/27.13 Found ((x1 x00) x2) as proof of (cP x2)
% 26.92/27.13 Found x40:=(x4 x30):(cP X0)
% 26.92/27.13 Instantiate: X:=X0:fofType
% 26.92/27.13 Found (x4 x30) as proof of (cP X)
% 26.92/27.13 Found (x4 x30) as proof of (cP X)
% 26.92/27.13 Found x30:=(x3 x0):(cP X0)
% 26.92/27.13 Instantiate: X0:=X:fofType
% 26.92/27.13 Found (x3 x0) as proof of (cP X)
% 26.92/27.13 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (cP X)
% 26.92/27.13 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 26.92/27.13 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 26.92/27.13 Found (and_rect00 (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 26.92/27.13 Found ((and_rect0 (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 26.92/27.13 Found (((fun (P:Type) (x2:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x2) x1)) (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 26.92/27.13 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0))) as proof of (cP X)
% 27.92/28.11 Found (fun (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (cP X)
% 27.92/28.11 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (forall (X:fofType), (cP X))
% 27.92/28.11 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 27.92/28.11 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 27.92/28.11 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 27.92/28.11 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 27.92/28.11 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 27.92/28.11 Found x20:(cP X)
% 27.92/28.11 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 27.92/28.11 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 27.92/28.11 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 27.92/28.11 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 27.92/28.11 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 27.92/28.11 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 27.92/28.11 Found x20:=(x2 x12):(cP X)
% 27.92/28.11 Found (x2 x12) as proof of (cP X)
% 27.92/28.11 Found (x2 x12) as proof of (cP X)
% 27.92/28.11 Found x20:=(x2 x10):(cP X)
% 27.92/28.11 Found (x2 x10) as proof of (cP X)
% 27.92/28.11 Found (x2 x10) as proof of (cP X)
% 27.92/28.11 Found x20:(cP X)
% 27.92/28.11 Instantiate: X0:=X:fofType
% 27.92/28.11 Found x20 as proof of (cP X0)
% 27.92/28.11 Found x20:=(x2 x10):(cP X)
% 27.92/28.11 Found (x2 x10) as proof of (cP X)
% 27.92/28.11 Found (x2 x10) as proof of (cP X)
% 27.92/28.11 Found x20:=(x2 x10):(cP X)
% 27.92/28.11 Instantiate: X0:=X:fofType
% 27.92/28.11 Found (x2 x10) as proof of (cP X0)
% 27.92/28.11 Found (x2 x10) as proof of (cP X0)
% 27.92/28.11 Found x20:=(x2 x3):(cP X)
% 27.92/28.11 Instantiate: X:=X0:fofType
% 27.92/28.11 Found (x2 x3) as proof of (cP X0)
% 27.92/28.11 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 27.92/28.11 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 27.92/28.11 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 27.92/28.11 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 27.92/28.11 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 27.92/28.11 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 28.95/29.13 Found x20:(cP X)
% 28.95/29.13 Instantiate: X0:=X:fofType
% 28.95/29.13 Found x20 as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x3):(cP X)
% 28.95/29.13 Instantiate: X:=X0:fofType
% 28.95/29.13 Found (x2 x3) as proof of (cP X0)
% 28.95/29.13 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 28.95/29.13 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 28.95/29.13 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 28.95/29.13 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 28.95/29.13 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 28.95/29.13 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found x20:=(x2 x40):(cP X)
% 28.95/29.13 Instantiate: X0:=X:fofType
% 28.95/29.13 Found (x2 x40) as proof of (cP X0)
% 28.95/29.13 Found (x2 x40) as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x40):(cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Instantiate: X0:=X:fofType
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x40):(cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Instantiate: X0:=X:fofType
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Instantiate: X0:=X:fofType
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found (x2 x10) as proof of (cP X0)
% 28.95/29.13 Found x50:=(x5 x10):(cP X0)
% 28.95/29.13 Found (x5 x10) as proof of (cP X0)
% 28.95/29.13 Found (x5 x10) as proof of (cP X0)
% 28.95/29.13 Found x50:=(x5 x40):(cP X0)
% 28.95/29.13 Found (x5 x40) as proof of (cP X0)
% 28.95/29.13 Found (x5 x40) as proof of (cP X0)
% 28.95/29.13 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x50:=(x5 x10):(cP X0)
% 28.95/29.13 Found (x5 x10) as proof of (cP X0)
% 28.95/29.13 Found (x5 x10) as proof of (cP X0)
% 28.95/29.13 Found x20:=(x2 x40):(cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found x50:=(x5 x40):(cP X0)
% 28.95/29.13 Instantiate: X:=X0:fofType
% 28.95/29.13 Found (x5 x40) as proof of (cP X)
% 28.95/29.13 Found (x5 x40) as proof of (cP X)
% 28.95/29.13 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x40:=(x4 x30):(cP X0)
% 28.95/29.13 Instantiate: X:=X0:fofType
% 28.95/29.13 Found (x4 x30) as proof of (cP X)
% 28.95/29.13 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 28.95/29.13 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 28.95/29.13 Found x20:=(x2 x40):(cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found (x2 x40) as proof of (cP X)
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found (x2 x10) as proof of (cP X)
% 28.95/29.13 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 28.95/29.13 Found x20:=(x2 x10):(cP X)
% 28.95/29.13 Instantiate: x3:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP x3)
% 31.82/32.06 Found (x2 x10) as proof of (cP x3)
% 31.82/32.06 Found x20:=(x2 x12):(cP X)
% 31.82/32.06 Found (x2 x12) as proof of (cP X)
% 31.82/32.06 Found (x2 x12) as proof of (cP X)
% 31.82/32.06 Found x50:(cP X0)
% 31.82/32.06 Instantiate: X:=X0:fofType
% 31.82/32.06 Found x50 as proof of (cP X)
% 31.82/32.06 Found x20:(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found x20 as proof of (cP X0)
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found x50:=(x5 x10):(cP X0)
% 31.82/32.06 Found (x5 x10) as proof of (cP X0)
% 31.82/32.06 Found (x5 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found x20:(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found x20 as proof of (cP X0)
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x40) as proof of (cP X0)
% 31.82/32.06 Found (x2 x40) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found (x2 x10) as proof of (cP X)
% 31.82/32.06 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x50:=(x5 x40):(cP X0)
% 31.82/32.06 Instantiate: X:=X0:fofType
% 31.82/32.06 Found (x5 x40) as proof of (cP X)
% 31.82/32.06 Found (x5 x40) as proof of (cP X)
% 31.82/32.06 Found x50:=(x5 x10):(cP X0)
% 31.82/32.06 Found (x5 x10) as proof of (cP X0)
% 31.82/32.06 Found (x5 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x10):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found (x2 x10) as proof of (cP X0)
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found (x2 x40) as proof of (cP X)
% 31.82/32.06 Found x20:=(x2 x40):(cP X)
% 31.82/32.06 Instantiate: X0:=X:fofType
% 31.82/32.06 Found (x2 x40) as proof of (cP X0)
% 31.82/32.06 Found (x2 x40) as proof of (cP X0)
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x50:=(x5 x40):(cP X0)
% 31.82/32.06 Found (x5 x40) as proof of (cP X0)
% 31.82/32.06 Found (x5 x40) as proof of (cP X0)
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 31.82/32.06 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found x20:(cP X)
% 34.22/34.47 Instantiate: X0:=X:fofType
% 34.22/34.47 Found x20 as proof of (cP X0)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Instantiate: x3:=X:fofType
% 34.22/34.47 Found (x2 x10) as proof of (cP x3)
% 34.22/34.47 Found (x2 x10) as proof of (cP x3)
% 34.22/34.47 Found x50:=(x5 x40):(cP X0)
% 34.22/34.47 Instantiate: X:=X0:fofType
% 34.22/34.47 Found (x5 x40) as proof of (cP X)
% 34.22/34.47 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 34.22/34.47 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 34.22/34.47 Found x20:=(x2 x40):(cP X)
% 34.22/34.47 Found (x2 x40) as proof of (cP X)
% 34.22/34.47 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 34.22/34.47 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Instantiate: X0:=X:fofType
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Instantiate: X:=X0:fofType
% 34.22/34.47 Found (x5 x10) as proof of (cP X)
% 34.22/34.47 Found (x5 x10) as proof of (cP X)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x20:=(x2 x11):(cP X)
% 34.22/34.47 Found (x2 x11) as proof of (cP X)
% 34.22/34.47 Found (x2 x11) as proof of (cP X)
% 34.22/34.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x40:=(x4 x30):(cP X0)
% 34.22/34.47 Found (x4 x30) as proof of (cP X)
% 34.22/34.47 Found (x4 x30) as proof of (cP X)
% 34.22/34.47 Found (x4 x30) as proof of (cP X)
% 34.22/34.47 Found x50:=(x5 x40):(cP X0)
% 34.22/34.47 Found (x5 x40) as proof of (cP X0)
% 34.22/34.47 Found (x5 x40) as proof of (cP X0)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found x20:=(x2 x40):(cP X)
% 34.22/34.47 Found (x2 x40) as proof of (cP X)
% 34.22/34.47 Found (x2 x40) as proof of (cP X)
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Instantiate: X:=X0:fofType
% 34.22/34.47 Found (x5 x10) as proof of (cP X)
% 34.22/34.47 Found (x5 x10) as proof of (cP X)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found (x2 x10) as proof of (cP X)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Instantiate: X0:=X:fofType
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found x20:=(x2 x10):(cP X)
% 34.22/34.47 Instantiate: X0:=X:fofType
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found (x2 x10) as proof of (cP X0)
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 34.22/34.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x20:(cP X)
% 34.22/34.47 Instantiate: X0:=X:fofType
% 34.22/34.47 Found x20 as proof of (cP X0)
% 34.22/34.47 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 34.22/34.47 Found x50:=(x5 x40):(cP X0)
% 34.22/34.47 Found (x5 x40) as proof of (cP X0)
% 34.22/34.47 Found (x5 x40) as proof of (cP X0)
% 34.22/34.47 Found x50:=(x5 x10):(cP X0)
% 34.22/34.47 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Instantiate: X0:=X:fofType
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x50:=(x5 x40):(cP X0)
% 36.54/36.75 Instantiate: X:=X0:fofType
% 36.54/36.75 Found (x5 x40) as proof of (cP X)
% 36.54/36.75 Found (x5 x40) as proof of (cP X)
% 36.54/36.75 Found x50:=(x5 x10):(cP X0)
% 36.54/36.75 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found x50:=(x5 x40):(cP X0)
% 36.54/36.75 Instantiate: X:=X0:fofType
% 36.54/36.75 Found (x5 x40) as proof of (cP X)
% 36.54/36.75 Found (x5 x40) as proof of (cP X)
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X)
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x20:=(x2 x40):(cP X)
% 36.54/36.75 Found (x2 x40) as proof of (cP X)
% 36.54/36.75 Found (x2 x40) as proof of (cP X)
% 36.54/36.75 Found x20:=(x2 x40):(cP X)
% 36.54/36.75 Found (x2 x40) as proof of (cP X)
% 36.54/36.75 Found (x2 x40) as proof of (cP X)
% 36.54/36.75 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 36.54/36.75 Found x40:=(x4 x30):(cP X0)
% 36.54/36.75 Found (x4 x30) as proof of (cP X)
% 36.54/36.75 Found (x4 x30) as proof of (cP X)
% 36.54/36.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 36.54/36.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found x20:=(x2 x40):(cP X)
% 36.54/36.75 Found (x2 x40) as proof of (cP X0)
% 36.54/36.75 Found (x2 x40) as proof of (cP X0)
% 36.54/36.75 Found (x2 x40) as proof of (cP X0)
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP X)
% 36.54/36.75 Found x50:=(x5 x10):(cP X0)
% 36.54/36.75 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found (x5 x10) as proof of (cP X0)
% 36.54/36.75 Found x20:(cP X)
% 36.54/36.75 Instantiate: X0:=X:fofType
% 36.54/36.75 Found x20 as proof of (cP X0)
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Found (x2 x10) as proof of (cP x3)
% 36.54/36.75 Found (x2 x10) as proof of (cP x3)
% 36.54/36.75 Found (x2 x10) as proof of (cP x3)
% 36.54/36.75 Found x20:=(x2 x10):(cP X)
% 36.54/36.75 Instantiate: X0:=X:fofType
% 36.54/36.75 Found (x2 x10) as proof of (cP X0)
% 37.11/37.29 Found (x2 x10) as proof of (cP X0)
% 37.11/37.29 Found x50:=(x5 x10):(cP X0)
% 37.11/37.29 Found (x5 x10) as proof of (cP X0)
% 37.11/37.29 Found (x5 x10) as proof of (cP X0)
% 37.11/37.29 Found x20:=(x2 x40):(cP X)
% 37.11/37.29 Found (x2 x40) as proof of (cP X)
% 37.11/37.29 Found (x2 x40) as proof of (cP X)
% 37.11/37.29 Found x20:=(x2 x10):(cP X)
% 37.11/37.29 Found (x2 x10) as proof of (cP X)
% 37.11/37.29 Found (x2 x10) as proof of (cP X)
% 37.11/37.29 Found x50:=(x5 x40):(cP X0)
% 37.11/37.29 Found (x5 x40) as proof of (cP X0)
% 37.11/37.29 Found (x5 x40) as proof of (cP X0)
% 37.11/37.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found ex_intro0000:=(ex_intro000 x0):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (ex_intro000 x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found ((ex_intro00 X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (((ex_intro0 (fun (Y:fofType)=> (cP Y))) X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 37.11/37.29 Found (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0)) as proof of ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 37.11/37.29 Found x200:=(x20 X):(cP X)
% 37.11/37.29 Found (x20 X) as proof of (cP X)
% 37.11/37.29 Found ((x2 x0) X) as proof of (cP X)
% 37.11/37.29 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of (cP X)
% 37.11/37.29 Found (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->(cP X))
% 37.11/37.29 Found (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)) as proof of (((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->(cP X)))
% 37.11/37.29 Found (and_rect00 (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 37.11/37.29 Found ((and_rect0 (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 37.11/37.29 Found (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))) as proof of (cP X)
% 37.11/37.29 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))) as proof of (cP X)
% 37.11/37.30 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))
% 37.11/37.30 Found ((conj10 (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))->P)))=> (((((and_rect ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 37.11/37.30 Found (((conj1 (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 37.11/37.30 Found ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 37.11/37.30 Found ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X))))) as proof of ((and ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))
% 40.24/40.44 Found (fun (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 40.24/40.44 Found (fun (x:((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of (forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 40.24/40.44 Found (fun (x:((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (X:fofType)=> ((((conj ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) (fun (x0:(cP X))=> ((((ex_intro fofType) (fun (Y:fofType)=> (cP Y))) X) x0))) (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y))))=> (((fun (P:Type) (x1:(((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))->P)))=> (((((and_rect ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) P) x1) x)) (cP X)) (fun (x1:((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))=> ((x2 x0) X)))))) as proof of (((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))->(forall (X:fofType), ((iff (cP X)) ((ex fofType) (fun (Y:fofType)=> (cP Y))))))
% 40.24/40.44 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x20:=(x2 x11):(cP X)
% 40.24/40.44 Found (x2 x11) as proof of (cP X)
% 40.24/40.44 Found (x2 x11) as proof of (cP X)
% 40.24/40.44 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x20:=(x2 x11):(cP X)
% 40.24/40.44 Found (x2 x11) as proof of (cP X)
% 40.24/40.44 Found (x2 x11) as proof of (cP X)
% 40.24/40.44 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 40.24/40.44 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x20:=(x2 x11):(cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x20:=(x2 x11):(cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x00:=(x0 x1):(cP x1)
% 44.61/44.81 Found (x0 x1) as proof of (cP x1)
% 44.61/44.81 Found (x0 x1) as proof of (cP x1)
% 44.61/44.81 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x20:=(x2 x11):(cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x20:=(x2 x11):(cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found x30:=(x3 X):(cP X)
% 44.61/44.81 Found (x3 X) as proof of (cP X)
% 44.61/44.81 Found (x3 X) as proof of (cP X)
% 44.61/44.81 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 44.61/44.81 Found x20:=(x2 x3):(cP X)
% 44.61/44.81 Instantiate: X:=X0:fofType
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x20:=(x2 x3):(cP X)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x30:=(x3 X):(cP X)
% 44.61/44.81 Found (x3 X) as proof of (cP X)
% 44.61/44.81 Found (x3 X) as proof of (cP X)
% 44.61/44.81 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 44.61/44.81 Found x20:=(x2 x3):(cP X)
% 44.61/44.81 Instantiate: X:=X0:fofType
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x20:=(x2 x3):(cP X)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found (x2 x3) as proof of (cP X0)
% 44.61/44.81 Found x20:(cP X)
% 44.61/44.81 Instantiate: X0:=X:fofType
% 44.61/44.81 Found x20 as proof of (cP X0)
% 44.61/44.81 Found x20:(cP X)
% 44.61/44.81 Instantiate: X0:=X:fofType
% 44.61/44.81 Found x20 as proof of (cP X0)
% 44.61/44.81 Found x20:=(x2 x10):(cP X)
% 44.61/44.81 Found (x2 x10) as proof of (cP X)
% 44.61/44.81 Found (x2 x10) as proof of (cP X)
% 44.61/44.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 44.61/44.81 Found x4:(cP x3)
% 44.61/44.81 Instantiate: X:=x3:fofType
% 44.61/44.81 Found x4 as proof of (cP X)
% 44.61/44.81 Found x20:=(x2 x10):(cP X)
% 44.61/44.81 Found (x2 x10) as proof of (cP X)
% 44.61/44.81 Found (x2 x10) as proof of (cP X)
% 44.61/44.81 Found x20:=(x2 x11):(cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found (x2 x11) as proof of (cP X)
% 44.61/44.81 Found x20:(cP X)
% 46.73/46.92 Instantiate: X0:=X:fofType
% 46.73/46.92 Found x20 as proof of (cP X0)
% 46.73/46.92 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found x20:=(x2 x10):(cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found x50:(cP X0)
% 46.73/46.92 Instantiate: X:=X0:fofType
% 46.73/46.92 Found x50 as proof of (cP X)
% 46.73/46.92 Found x20:(cP X)
% 46.73/46.92 Instantiate: X0:=X:fofType
% 46.73/46.92 Found x20 as proof of (cP X0)
% 46.73/46.92 Found x20:(cP X)
% 46.73/46.92 Instantiate: X0:=X:fofType
% 46.73/46.92 Found x20 as proof of (cP X0)
% 46.73/46.92 Found x50:(cP X0)
% 46.73/46.92 Instantiate: X:=X0:fofType
% 46.73/46.92 Found x50 as proof of (cP X)
% 46.73/46.92 Found x4:(cP x3)
% 46.73/46.92 Instantiate: X:=x3:fofType
% 46.73/46.92 Found x4 as proof of (cP X)
% 46.73/46.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.92 Found x20:=(x2 x11):(cP X)
% 46.73/46.92 Found (x2 x11) as proof of (cP X)
% 46.73/46.92 Found (x2 x11) as proof of (cP X)
% 46.73/46.92 Found x20:=(x2 x10):(cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found x20:=(x2 x3):(cP X)
% 46.73/46.92 Instantiate: X:=X0:fofType
% 46.73/46.92 Found (x2 x3) as proof of (cP X0)
% 46.73/46.92 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 46.73/46.92 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 46.73/46.92 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 46.73/46.92 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.92 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.92 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.92 Found x20:=(x2 x10):(cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found (x2 x10) as proof of (cP X)
% 46.73/46.92 Found x20:(cP X)
% 46.73/46.92 Instantiate: X0:=X:fofType
% 46.73/46.93 Found x20 as proof of (cP X0)
% 46.73/46.93 Found x20:=(x2 x3):(cP X)
% 46.73/46.93 Instantiate: X:=X0:fofType
% 46.73/46.93 Found (x2 x3) as proof of (cP X0)
% 46.73/46.93 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 46.73/46.93 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 46.73/46.93 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 46.73/46.93 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.93 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.93 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 46.73/46.93 Found x20:=(x2 x10):(cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.93 Found x20:=(x2 x10):(cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found x20:(cP X)
% 46.73/46.93 Instantiate: X0:=X:fofType
% 46.73/46.93 Found x20 as proof of (cP X0)
% 46.73/46.93 Found x20:=(x2 x40):(cP X)
% 46.73/46.93 Found (x2 x40) as proof of (cP X)
% 46.73/46.93 Found (x2 x40) as proof of (cP X)
% 46.73/46.93 Found x20:=(x2 x40):(cP X)
% 46.73/46.93 Instantiate: X0:=X:fofType
% 46.73/46.93 Found (x2 x40) as proof of (cP X0)
% 46.73/46.93 Found (x2 x40) as proof of (cP X0)
% 46.73/46.93 Found x20:=(x2 x40):(cP X)
% 46.73/46.93 Found (x2 x40) as proof of (cP X)
% 46.73/46.93 Found (x2 x40) as proof of (cP X)
% 46.73/46.93 Found x20:=(x2 x10):(cP X)
% 46.73/46.93 Instantiate: X0:=X:fofType
% 46.73/46.93 Found (x2 x10) as proof of (cP X0)
% 46.73/46.93 Found (x2 x10) as proof of (cP X0)
% 46.73/46.93 Found x20:=(x2 x10):(cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found (x2 x10) as proof of (cP X)
% 46.73/46.93 Found x20:=(x2 x10):(cP X)
% 46.73/46.93 Instantiate: X0:=X:fofType
% 46.73/46.93 Found (x2 x10) as proof of (cP X0)
% 46.73/46.93 Found (x2 x10) as proof of (cP X0)
% 46.73/46.93 Found x00:=(x0 x1):(cP x1)
% 46.73/46.93 Found (x0 x1) as proof of (cP x1)
% 46.73/46.93 Found (x0 x1) as proof of (cP x1)
% 46.73/46.93 Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 46.73/46.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Instantiate: x3:=X:fofType
% 48.72/48.95 Found (x2 x10) as proof of (cP x3)
% 48.72/48.95 Found (x2 x10) as proof of (cP x3)
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Instantiate: X0:=X:fofType
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Instantiate: X0:=X:fofType
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found x50:=(x5 x10):(cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found x50:=(x5 x10):(cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found x20:=(x2 x40):(cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found x50:=(x5 x40):(cP X0)
% 48.72/48.95 Instantiate: X:=X0:fofType
% 48.72/48.95 Found (x5 x40) as proof of (cP X)
% 48.72/48.95 Found (x5 x40) as proof of (cP X)
% 48.72/48.95 Found x20:=(x2 x40):(cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x50:=(x5 x40):(cP X0)
% 48.72/48.95 Found (x5 x40) as proof of (cP X0)
% 48.72/48.95 Found (x5 x40) as proof of (cP X0)
% 48.72/48.95 Found x50:=(x5 x10):(cP X0)
% 48.72/48.95 Instantiate: X:=X0:fofType
% 48.72/48.95 Found (x5 x10) as proof of (cP X)
% 48.72/48.95 Found (x5 x10) as proof of (cP X)
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x20:=(x2 x11):(cP X)
% 48.72/48.95 Found (x2 x11) as proof of (cP X)
% 48.72/48.95 Found (x2 x11) as proof of (cP X)
% 48.72/48.95 Found x20:=(x2 x40):(cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found (x2 x40) as proof of (cP X)
% 48.72/48.95 Found x20:=(x2 x40):(cP X)
% 48.72/48.95 Instantiate: X0:=X:fofType
% 48.72/48.95 Found (x2 x40) as proof of (cP X0)
% 48.72/48.95 Found (x2 x40) as proof of (cP X0)
% 48.72/48.95 Found x50:=(x5 x40):(cP X0)
% 48.72/48.95 Found (x5 x40) as proof of (cP X0)
% 48.72/48.95 Found (x5 x40) as proof of (cP X0)
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Instantiate: X0:=X:fofType
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found (x2 x10) as proof of (cP X0)
% 48.72/48.95 Found x50:=(x5 x10):(cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found (x5 x10) as proof of (cP X0)
% 48.72/48.95 Found x20:=(x2 x10):(cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found (x2 x10) as proof of (cP X)
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found x30:=(x3 X):(cP X)
% 48.72/48.95 Found (x3 X) as proof of (cP X)
% 48.72/48.95 Found (x3 X) as proof of (cP X)
% 48.72/48.95 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 48.72/48.95 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 49.82/50.05 Found x20:=(x2 x3):(cP X)
% 49.82/50.05 Instantiate: X:=X0:fofType
% 49.82/50.05 Found (x2 x3) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x3):(cP X)
% 49.82/50.05 Found (x2 x3) as proof of (cP X0)
% 49.82/50.05 Found (x2 x3) as proof of (cP X0)
% 49.82/50.05 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x2 x3) as proof of (cP X0)
% 49.82/50.05 Found (x2 x3) as proof of (cP X0)
% 49.82/50.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x20:=(x2 x3):(cP X)
% 49.82/50.05 Found (x2 x3) as proof of (cP X)
% 49.82/50.05 Found (x2 x3) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Instantiate: X:=X0:fofType
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Found (x2 x10) as proof of (cP X)
% 49.82/50.05 Found (x2 x10) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x40):(cP X)
% 49.82/50.05 Found (x2 x40) as proof of (cP X)
% 49.82/50.05 Found (x2 x40) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x40):(cP X)
% 49.82/50.05 Instantiate: X0:=X:fofType
% 49.82/50.05 Found (x2 x40) as proof of (cP X0)
% 49.82/50.05 Found (x2 x40) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x10):(cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x40):(cP X0)
% 49.82/50.05 Found (x5 x40) as proof of (cP X0)
% 49.82/50.05 Found (x5 x40) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x3):(cP X)
% 49.82/50.05 Found (x2 x3) as proof of (cP X)
% 49.82/50.05 Found (x2 x3) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Instantiate: X:=X0:fofType
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x20:=(x2 x40):(cP X)
% 49.82/50.05 Found (x2 x40) as proof of (cP X)
% 49.82/50.05 Found (x2 x40) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Instantiate: X0:=X:fofType
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x40):(cP X0)
% 49.82/50.05 Instantiate: X:=X0:fofType
% 49.82/50.05 Found (x5 x40) as proof of (cP X)
% 49.82/50.05 Found (x5 x40) as proof of (cP X)
% 49.82/50.05 Found x20:=(x2 x10):(cP X)
% 49.82/50.05 Instantiate: X0:=X:fofType
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found (x2 x10) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x10):(cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x10):(cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found (x5 x10) as proof of (cP X0)
% 49.82/50.05 Found x50:=(x5 x40):(cP X0)
% 49.82/50.05 Instantiate: X:=X0:fofType
% 51.42/51.64 Found (x5 x40) as proof of (cP X)
% 51.42/51.64 Found (x5 x40) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x40):(cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x40):(cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x40):(cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found x20:=(x2 x40):(cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found (x2 x40) as proof of (cP X0)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found (x2 x10) as proof of (cP X0)
% 51.42/51.64 Found x50:=(x5 x10):(cP X0)
% 51.42/51.64 Instantiate: X:=X0:fofType
% 51.42/51.64 Found (x5 x10) as proof of (cP X)
% 51.42/51.64 Found (x5 x10) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found x50:=(x5 x10):(cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found x50:=(x5 x10):(cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found x50:=(x5 x10):(cP X0)
% 51.42/51.64 Instantiate: X:=X0:fofType
% 51.42/51.64 Found (x5 x10) as proof of (cP X)
% 51.42/51.64 Found (x5 x10) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found x20:(cP X)
% 51.42/51.64 Instantiate: X0:=X:fofType
% 51.42/51.64 Found x20 as proof of (cP X0)
% 51.42/51.64 Found x20:(cP X)
% 51.42/51.64 Instantiate: X0:=X:fofType
% 51.42/51.64 Found x20 as proof of (cP X0)
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found (x2 x10) as proof of (cP x3)
% 51.42/51.64 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x4 x30) as proof of (cP X)
% 51.42/51.64 Found (x4 x30) as proof of (cP X)
% 51.42/51.64 Found (x4 x30) as proof of (cP X)
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x20:=(x2 x40):(cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found (x2 x40) as proof of (cP X)
% 51.42/51.64 Found x20:=(x2 x10):(cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found (x2 x10) as proof of (cP X)
% 51.42/51.64 Found x50:=(x5 x10):(cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found (x5 x10) as proof of (cP X0)
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 51.42/51.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x20:=(x2 x3):(cP X)
% 52.82/53.09 Found (x2 x3) as proof of (cP X)
% 52.82/53.09 Found (x2 x3) as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x40:(cP X0)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found x40 as proof of (cP X)
% 52.82/53.09 Found x40:(cP X0)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found x40 as proof of (cP X)
% 52.82/53.09 Found x50:=(x5 x40):(cP X0)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found (x5 x40) as proof of (cP X)
% 52.82/53.09 Found (x5 x40) as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x40):(cP X)
% 52.82/53.09 Found (x2 x40) as proof of (cP X)
% 52.82/53.09 Found (x2 x40) as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Instantiate: X0:=X:fofType
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x50:=(x5 x10):(cP X0)
% 52.82/53.09 Found (x5 x10) as proof of (cP X0)
% 52.82/53.09 Found (x5 x10) as proof of (cP X0)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Found (x2 x10) as proof of (cP X)
% 52.82/53.09 Found (x2 x10) as proof of (cP X)
% 52.82/53.09 Found x50:=(x5 x40):(cP X0)
% 52.82/53.09 Found (x5 x40) as proof of (cP X0)
% 52.82/53.09 Found (x5 x40) as proof of (cP X0)
% 52.82/53.09 Found x20:=(x2 x3):(cP X)
% 52.82/53.09 Found (x2 x3) as proof of (cP X)
% 52.82/53.09 Found (x2 x3) as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x30:=(x3 X):(cP X)
% 52.82/53.09 Found (x3 X) as proof of (cP X)
% 52.82/53.09 Found (x3 X) as proof of (cP X)
% 52.82/53.09 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 52.82/53.09 Found x20:=(x2 x3):(cP X)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found (x2 x3) as proof of (cP X0)
% 52.82/53.09 Found x20:=(x2 x3):(cP X)
% 52.82/53.09 Found (x2 x3) as proof of (cP X0)
% 52.82/53.09 Found (x2 x3) as proof of (cP X0)
% 52.82/53.09 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x2 x3) as proof of (cP X0)
% 52.82/53.09 Found (x2 x3) as proof of (cP X0)
% 52.82/53.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 52.82/53.09 Found x50:=(x5 x40):(cP X0)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found (x5 x40) as proof of (cP X)
% 52.82/53.09 Found (x5 x40) as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x40):(cP X)
% 52.82/53.09 Found (x2 x40) as proof of (cP X)
% 52.82/53.09 Found (x2 x40) as proof of (cP X)
% 52.82/53.09 Found x50:(cP X0)
% 52.82/53.09 Instantiate: X:=X0:fofType
% 52.82/53.09 Found x50 as proof of (cP X)
% 52.82/53.09 Found x20:=(x2 x10):(cP X)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 52.82/53.09 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x10):(cP X)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x30:=(x3 X):(cP X)
% 54.34/54.56 Found (x3 X) as proof of (cP X)
% 54.34/54.56 Found (x3 X) as proof of (cP X)
% 54.34/54.56 Found (x1 (x3 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 54.34/54.56 Found x20:=(x2 x3):(cP X)
% 54.34/54.56 Instantiate: X:=X0:fofType
% 54.34/54.56 Found (x2 x3) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x3):(cP X)
% 54.34/54.56 Found (x2 x3) as proof of (cP X0)
% 54.34/54.56 Found (x2 x3) as proof of (cP X0)
% 54.34/54.56 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x2 x3) as proof of (cP X0)
% 54.34/54.56 Found (x2 x3) as proof of (cP X0)
% 54.34/54.56 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x20:(cP X)
% 54.34/54.56 Instantiate: X0:=X:fofType
% 54.34/54.56 Found x20 as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x40):(cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found x20:=(x2 x10):(cP X)
% 54.34/54.56 Instantiate: X0:=X:fofType
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x40):(cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x20:=(x2 x10):(cP X)
% 54.34/54.56 Instantiate: X0:=X:fofType
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x40):(cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found x50:=(x5 x10):(cP X0)
% 54.34/54.56 Found (x5 x10) as proof of (cP X0)
% 54.34/54.56 Found (x5 x10) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x10):(cP X)
% 54.34/54.56 Instantiate: X0:=X:fofType
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x50:=(x5 x10):(cP X0)
% 54.34/54.56 Found (x5 x10) as proof of (cP X0)
% 54.34/54.56 Found (x5 x10) as proof of (cP X0)
% 54.34/54.56 Found x50:=(x5 x40):(cP X0)
% 54.34/54.56 Instantiate: X:=X0:fofType
% 54.34/54.56 Found (x5 x40) as proof of (cP X)
% 54.34/54.56 Found (x5 x40) as proof of (cP X)
% 54.34/54.56 Found x20:=(x2 x40):(cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found (x2 x40) as proof of (cP X)
% 54.34/54.56 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x4 x30) as proof of (cP X)
% 54.34/54.56 Found (x4 x30) as proof of (cP X)
% 54.34/54.56 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 54.34/54.56 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 54.34/54.56 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x2 x40) as proof of (cP X0)
% 54.34/54.56 Found (x2 x40) as proof of (cP X0)
% 54.34/54.56 Found (x2 x40) as proof of (cP X0)
% 54.34/54.56 Found x20:=(x2 x12):(cP X)
% 54.34/54.56 Found (x2 x12) as proof of (cP X)
% 54.34/54.56 Found (x2 x12) as proof of (cP X)
% 54.34/54.56 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found (x2 x10) as proof of (cP X0)
% 54.34/54.56 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found x00:=(x0 X):(cP X)
% 54.34/54.56 Found (x0 X) as proof of (cP X)
% 54.34/54.56 Found (x0 X) as proof of (cP X)
% 54.34/54.56 Found (x2 (x0 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.34/54.56 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 54.73/54.98 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 54.73/54.98 Found (and_rect00 (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found ((and_rect0 ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) x1)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found x00:=(x0 X):(cP X)
% 54.73/54.98 Found (x0 X) as proof of (cP X)
% 54.73/54.98 Found (x0 X) as proof of (cP X)
% 54.73/54.98 Found (x2 (x0 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 54.73/54.98 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 54.73/54.98 Found (and_rect00 (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found ((and_rect0 ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) x1)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found x20:=(x2 x10):(cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 54.73/54.98 Found x20:=(x2 x10):(cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 54.73/54.98 Found x20:=(x2 x10):(cP X)
% 54.73/54.98 Instantiate: X0:=X:fofType
% 54.73/54.98 Found (x2 x10) as proof of (cP X0)
% 54.73/54.98 Found (x2 x10) as proof of (cP X0)
% 54.73/54.98 Found x50:=(x5 x10):(cP X0)
% 54.73/54.98 Found (x5 x10) as proof of (cP X0)
% 54.73/54.98 Found (x5 x10) as proof of (cP X0)
% 54.73/54.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 54.73/54.98 Found x20:=(x2 x10):(cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 54.73/54.98 Found (x2 x10) as proof of (cP X)
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x50:=(x5 x40):(cP X0)
% 57.64/57.83 Instantiate: X:=X0:fofType
% 57.64/57.83 Found (x5 x40) as proof of (cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x20:=(x2 x40):(cP X)
% 57.64/57.83 Found (x2 x40) as proof of (cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 57.64/57.83 Found x20:=(x2 x10):(cP X)
% 57.64/57.83 Found (x2 x10) as proof of (cP X)
% 57.64/57.83 Found (x2 x10) as proof of (cP X)
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 57.64/57.83 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x50:(cP X0)
% 57.64/57.83 Instantiate: X:=X0:fofType
% 57.64/57.83 Found x50 as proof of (cP X)
% 57.64/57.83 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 57.64/57.83 Found x50:(cP X0)
% 57.64/57.83 Instantiate: X:=X0:fofType
% 57.64/57.83 Found x50 as proof of (cP X)
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x50:(cP X0)
% 57.64/57.83 Instantiate: X:=X0:fofType
% 57.64/57.83 Found x50 as proof of (cP X)
% 57.64/57.83 Found x50:(cP X0)
% 57.64/57.83 Instantiate: X:=X0:fofType
% 57.64/57.83 Found x50 as proof of (cP X)
% 57.64/57.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.64/57.83 Found x20:(cP X)
% 57.64/57.83 Instantiate: X0:=X:fofType
% 57.64/57.83 Found x20 as proof of (cP X0)
% 57.91/58.10 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x20:(cP X)
% 57.91/58.10 Instantiate: X0:=X:fofType
% 57.91/58.10 Found x20 as proof of (cP X0)
% 57.91/58.10 Found x30:=(x3 x0):(cP X0)
% 57.91/58.10 Instantiate: X0:=X:fofType
% 57.91/58.10 Found (x3 x0) as proof of (cP X)
% 57.91/58.10 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (cP X)
% 57.91/58.10 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 57.91/58.10 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 57.91/58.10 Found (and_rect00 (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 57.91/58.10 Found ((and_rect0 (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 57.91/58.10 Found (((fun (P:Type) (x2:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x2) x1)) (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 57.91/58.10 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0))) as proof of (cP X)
% 57.91/58.10 Found (fun (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (cP X)
% 57.91/58.10 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (forall (X:fofType), (cP X))
% 57.91/58.10 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 57.91/58.10 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 57.91/58.10 Found x30:=(x3 x0):(cP X0)
% 57.91/58.10 Instantiate: X0:=X:fofType
% 57.91/58.10 Found (x3 x0) as proof of (cP X)
% 57.91/58.10 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (cP X)
% 57.91/58.10 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 58.03/58.25 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 58.03/58.25 Found (and_rect00 (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 58.03/58.25 Found ((and_rect0 (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 58.03/58.25 Found (((fun (P:Type) (x2:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x2) x1)) (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 58.03/58.25 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0))) as proof of (cP X)
% 58.03/58.25 Found (fun (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (cP X)
% 58.03/58.25 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (forall (X:fofType), (cP X))
% 58.03/58.25 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 58.03/58.25 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.03/58.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found x20:=(x2 x10):(cP X)
% 58.03/58.25 Found (x2 x10) as proof of (cP X)
% 58.03/58.25 Found (x2 x10) as proof of (cP X)
% 58.03/58.25 Found x20:=(x2 x10):(cP X)
% 58.03/58.25 Instantiate: X0:=X:fofType
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found x20:=(x2 x40):(cP X)
% 58.03/58.25 Found (x2 x40) as proof of (cP X)
% 58.03/58.25 Found (x2 x40) as proof of (cP X)
% 58.03/58.25 Found x20:=(x2 x10):(cP X)
% 58.03/58.25 Instantiate: X0:=X:fofType
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found (x2 x10) as proof of (cP X0)
% 58.03/58.25 Found x50:=(x5 x10):(cP X0)
% 58.03/58.25 Found (x5 x10) as proof of (cP X0)
% 58.03/58.25 Found (x5 x10) as proof of (cP X0)
% 58.03/58.25 Found x50:=(x5 x40):(cP X0)
% 58.03/58.25 Instantiate: X:=X0:fofType
% 58.03/58.25 Found (x5 x40) as proof of (cP X)
% 58.03/58.25 Found (x5 x40) as proof of (cP X)
% 58.84/59.08 Found x50:=(x5 x40):(cP X0)
% 58.84/59.08 Instantiate: X:=X0:fofType
% 58.84/59.08 Found (x5 x40) as proof of (cP X)
% 58.84/59.08 Found (x5 x40) as proof of (cP X)
% 58.84/59.08 Found x50:=(x5 x10):(cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found x20:=(x2 x40):(cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x20:=(x2 x40):(cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found x50:=(x5 x10):(cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found x20:=(x2 x40):(cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found (x2 x40) as proof of (cP X)
% 58.84/59.08 Found x50:=(x5 x10):(cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found (x5 x10) as proof of (cP X0)
% 58.84/59.08 Found x4:(cP x3)
% 58.84/59.08 Instantiate: X:=x3:fofType
% 58.84/59.08 Found x4 as proof of (cP X)
% 58.84/59.08 Found x20:=(x2 x3):(cP X)
% 58.84/59.08 Instantiate: X:=X0:fofType
% 58.84/59.08 Found (x2 x3) as proof of (cP X0)
% 58.84/59.08 Found x20:=(x2 x10):(cP X)
% 58.84/59.08 Found (x2 x10) as proof of (cP X)
% 58.84/59.08 Found (x2 x10) as proof of (cP X)
% 58.84/59.08 Found x20:=(x2 x10):(cP X)
% 58.84/59.08 Found (x2 x10) as proof of (cP X)
% 58.84/59.08 Found (x2 x10) as proof of (cP X)
% 58.84/59.08 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x40:=(x4 x10):(cP X0)
% 58.84/59.08 Instantiate: X:=X0:fofType
% 58.84/59.08 Found (x4 x10) as proof of (cP X)
% 58.84/59.08 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (cP X)
% 58.84/59.08 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 58.84/59.08 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 58.84/59.08 Found (and_rect10 (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 58.84/59.08 Found ((and_rect1 (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 58.84/59.08 Found (((fun (P:Type) (x3:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x3) x2)) (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 58.84/59.08 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x2 x40) as proof of (cP X0)
% 58.84/59.08 Found (x2 x40) as proof of (cP X0)
% 58.84/59.08 Found (x2 x40) as proof of (cP X0)
% 58.84/59.08 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found x20:=(x2 x12):(cP X)
% 58.84/59.08 Found (x2 x12) as proof of (cP X)
% 58.84/59.08 Found (x2 x12) as proof of (cP X)
% 58.84/59.08 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found (x2 x10) as proof of (cP X0)
% 58.84/59.08 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 58.84/59.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found x20:=(x2 x3):(cP X)
% 60.63/60.88 Instantiate: X:=X0:fofType
% 60.63/60.88 Found (x2 x3) as proof of (cP X0)
% 60.63/60.88 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (x2 x40) as proof of (cP X0)
% 60.63/60.88 Found (x2 x40) as proof of (cP X0)
% 60.63/60.88 Found (x2 x40) as proof of (cP X0)
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X:=X0:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x20:=(x2 x12):(cP X)
% 60.63/60.88 Found (x2 x12) as proof of (cP X)
% 60.63/60.88 Found (x2 x12) as proof of (cP X)
% 60.63/60.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X0:=X:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 60.63/60.88 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 60.63/60.88 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 60.63/60.88 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 60.63/60.88 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X0:=X:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X:=X0:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x20:=(x2 x3):(cP X)
% 60.63/60.88 Instantiate: X:=X0:fofType
% 60.63/60.88 Found (x2 x3) as proof of (cP X0)
% 60.63/60.88 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 60.63/60.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 60.63/60.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 60.63/60.88 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 60.63/60.88 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 60.63/60.88 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 60.63/60.88 Found x20:=(x2 x11):(cP X)
% 60.63/60.88 Found (x2 x11) as proof of (cP X)
% 60.63/60.88 Found (x2 x11) as proof of (cP X)
% 60.63/60.88 Found x20:=(x2 x10):(cP X)
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found (x2 x10) as proof of (cP X0)
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X0:=X:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 60.63/60.88 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Instantiate: X0:=X:fofType
% 60.63/60.88 Found x20 as proof of (cP X0)
% 60.63/60.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 60.63/60.88 Found x20:(cP X)
% 60.63/60.88 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 63.03/63.28 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x20:(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found x20 as proof of (cP X0)
% 63.03/63.28 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 63.03/63.28 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x50:(cP X0)
% 63.03/63.28 Instantiate: X:=X0:fofType
% 63.03/63.28 Found x50 as proof of (cP X)
% 63.03/63.28 Found x20:(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found x20 as proof of (cP X0)
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x20:(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found x20 as proof of (cP X0)
% 63.03/63.28 Found x50:(cP X0)
% 63.03/63.28 Instantiate: X:=X0:fofType
% 63.03/63.28 Found x50 as proof of (cP X)
% 63.03/63.28 Found x21:(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found x21 as proof of (cP X0)
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x20:(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found x20 as proof of (cP X0)
% 63.03/63.28 Found x4:(cP x3)
% 63.03/63.28 Instantiate: X:=x3:fofType
% 63.03/63.28 Found x4 as proof of (cP X)
% 63.03/63.28 Found x4:(cP x3)
% 63.03/63.28 Instantiate: X:=x3:fofType
% 63.03/63.28 Found x4 as proof of (cP X)
% 63.03/63.28 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found x20:=(x2 x10):(cP X)
% 63.03/63.28 Found (x2 x10) as proof of (cP X)
% 63.03/63.28 Found (x2 x10) as proof of (cP X)
% 63.03/63.28 Found x20:=(x2 x10):(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found x20:=(x2 x10):(cP X)
% 63.03/63.28 Instantiate: X0:=X:fofType
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found (x2 x10) as proof of (cP X0)
% 63.03/63.28 Found x20:=(x2 x10):(cP X)
% 63.03/63.28 Found (x2 x10) as proof of (cP X)
% 63.03/63.28 Found (x2 x10) as proof of (cP X)
% 63.03/63.28 Found x20:=(x2 x12):(cP X)
% 63.03/63.28 Found (x2 x12) as proof of (cP X)
% 63.03/63.28 Found (x2 x12) as proof of (cP X)
% 63.03/63.28 Found x20:=(x2 x12):(cP X)
% 63.03/63.28 Found (x2 x12) as proof of (cP X)
% 63.03/63.28 Found (x2 x12) as proof of (cP X)
% 63.03/63.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x20:=(x2 x10):(cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x20:=(x2 x10):(cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found x20:=(x2 x10):(cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found x20:=(x2 x11):(cP X)
% 65.00/65.19 Found (x2 x11) as proof of (cP X)
% 65.00/65.19 Found (x2 x11) as proof of (cP X)
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Instantiate: X0:=X:fofType
% 65.00/65.19 Found x20 as proof of (cP X0)
% 65.00/65.19 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x20:=(x2 x10):(cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found (x2 x10) as proof of (cP X)
% 65.00/65.19 Found x50:(cP X0)
% 65.00/65.19 Instantiate: X:=X0:fofType
% 65.00/65.19 Found x50 as proof of (cP X)
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Instantiate: X0:=X:fofType
% 65.00/65.19 Found x20 as proof of (cP X0)
% 65.00/65.19 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Instantiate: X0:=X:fofType
% 65.00/65.19 Found x20 as proof of (cP X0)
% 65.00/65.19 Found x40:=(x4 x30):(cP X0)
% 65.00/65.19 Instantiate: X:=X0:fofType
% 65.00/65.19 Found (x4 x30) as proof of (cP X)
% 65.00/65.19 Found (x4 x30) as proof of (cP X)
% 65.00/65.19 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 65.00/65.19 Found x20:(cP X)
% 65.00/65.19 Instantiate: X0:=X:fofType
% 65.00/65.19 Found x20 as proof of (cP X0)
% 65.00/65.19 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 65.00/65.19 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 66.91/67.18 Found x40:=(x4 x30):(cP X0)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found (x4 x30) as proof of (cP X)
% 66.91/67.18 Found (x4 x30) as proof of (cP X)
% 66.91/67.18 Found x21:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x21 as proof of (cP X0)
% 66.91/67.18 Found x21:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x21 as proof of (cP X0)
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X)
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found x20:=(x2 x3):(cP X)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found (x2 x3) as proof of (cP X0)
% 66.91/67.18 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 66.91/67.18 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 66.91/67.18 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 66.91/67.18 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 66.91/67.18 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 66.91/67.18 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Instantiate: x3:=X:fofType
% 66.91/67.18 Found (x2 x10) as proof of (cP x3)
% 66.91/67.18 Found (x2 x10) as proof of (cP x3)
% 66.91/67.18 Found x4:(cP x3)
% 66.91/67.18 Instantiate: X:=x3:fofType
% 66.91/67.18 Found x4 as proof of (cP X)
% 66.91/67.18 Found x4:(cP x3)
% 66.91/67.18 Instantiate: X:=x3:fofType
% 66.91/67.18 Found x4 as proof of (cP X)
% 66.91/67.18 Found x20:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x20 as proof of (cP X0)
% 66.91/67.18 Found x4:(cP x3)
% 66.91/67.18 Instantiate: X:=x3:fofType
% 66.91/67.18 Found x4 as proof of (cP X)
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found (x2 x10) as proof of (cP X0)
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x20:=(x2 x10):(cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X)
% 66.91/67.18 Found (x2 x10) as proof of (cP X)
% 66.91/67.18 Found x50:(cP X0)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found x50 as proof of (cP X)
% 66.91/67.18 Found x20:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x20 as proof of (cP X0)
% 66.91/67.18 Found x50:(cP X0)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found x50 as proof of (cP X)
% 66.91/67.18 Found x20:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x20 as proof of (cP X0)
% 66.91/67.18 Found x20:(cP X)
% 66.91/67.18 Instantiate: X0:=X:fofType
% 66.91/67.18 Found x20 as proof of (cP X0)
% 66.91/67.18 Found x50:(cP X0)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found x50 as proof of (cP X)
% 66.91/67.18 Found x4:(cP x3)
% 66.91/67.18 Instantiate: X:=x3:fofType
% 66.91/67.18 Found x4 as proof of (cP X)
% 66.91/67.18 Found x4:(cP x3)
% 66.91/67.18 Instantiate: X:=x3:fofType
% 66.91/67.18 Found x4 as proof of (cP X)
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 66.91/67.18 Found x20:=(x2 x3):(cP X)
% 66.91/67.18 Instantiate: X:=X0:fofType
% 66.91/67.18 Found (x2 x3) as proof of (cP X0)
% 66.91/67.18 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 66.91/67.18 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 66.91/67.18 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 66.91/67.18 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 66.91/67.18 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found x50:=(x5 x40):(cP X0)
% 69.14/69.37 Instantiate: X:=X0:fofType
% 69.14/69.37 Found (x5 x40) as proof of (cP X)
% 69.14/69.37 Found (x5 x40) as proof of (cP X)
% 69.14/69.37 Found x51:(cP X0)
% 69.14/69.37 Instantiate: X:=X0:fofType
% 69.14/69.37 Found x51 as proof of (cP X)
% 69.14/69.37 Found x21:(cP X)
% 69.14/69.37 Instantiate: X0:=X:fofType
% 69.14/69.37 Found x21 as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x40):(cP X)
% 69.14/69.37 Found (x2 x40) as proof of (cP X)
% 69.14/69.37 Found (x2 x40) as proof of (cP X)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Instantiate: X0:=X:fofType
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Instantiate: X0:=X:fofType
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found (x2 x10) as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x50:=(x5 x10):(cP X0)
% 69.14/69.37 Found (x5 x10) as proof of (cP X0)
% 69.14/69.37 Found (x5 x10) as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x20:=(x2 x10):(cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found (x2 x10) as proof of (cP X)
% 69.14/69.37 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x20:(cP X)
% 69.14/69.37 Instantiate: X0:=X:fofType
% 69.14/69.37 Found x20 as proof of (cP X0)
% 69.14/69.37 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 69.14/69.37 Found x20:=(x2 x3):(cP X)
% 69.14/69.37 Instantiate: X:=X0:fofType
% 69.14/69.37 Found (x2 x3) as proof of (cP X0)
% 69.14/69.37 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 69.14/69.37 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 69.14/69.37 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 69.14/69.37 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found x20:=(x2 x3):(cP X)
% 69.14/69.37 Instantiate: X:=X0:fofType
% 69.14/69.37 Found (x2 x3) as proof of (cP X0)
% 69.14/69.37 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 69.14/69.37 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 69.14/69.37 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 69.14/69.37 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 69.14/69.37 Found x40:=(x4 x30):(cP X0)
% 69.14/69.37 Instantiate: X:=X0:fofType
% 69.14/69.37 Found (x4 x30) as proof of (cP X)
% 69.14/69.37 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 69.14/69.37 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 71.61/71.80 Found x20:=(x2 x11):(cP X)
% 71.61/71.80 Found (x2 x11) as proof of (cP X)
% 71.61/71.80 Found (x2 x11) as proof of (cP X)
% 71.61/71.80 Found x20:=(x2 x11):(cP X)
% 71.61/71.80 Found (x2 x11) as proof of (cP X)
% 71.61/71.80 Found (x2 x11) as proof of (cP X)
% 71.61/71.80 Found x20:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x20 as proof of (cP X0)
% 71.61/71.80 Found x40:=(x4 x30):(cP X0)
% 71.61/71.80 Instantiate: X:=X0:fofType
% 71.61/71.80 Found (x4 x30) as proof of (cP X)
% 71.61/71.80 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 71.61/71.80 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 71.61/71.80 Found x20:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x20 as proof of (cP X0)
% 71.61/71.80 Found x20:=(x2 x3):(cP X)
% 71.61/71.80 Instantiate: X:=X0:fofType
% 71.61/71.80 Found (x2 x3) as proof of (cP X0)
% 71.61/71.80 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 71.61/71.80 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 71.61/71.80 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 71.61/71.80 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x4:(cP x3)
% 71.61/71.80 Instantiate: X:=x3:fofType
% 71.61/71.80 Found x4 as proof of (cP X)
% 71.61/71.80 Found x4:(cP x3)
% 71.61/71.80 Instantiate: X:=x3:fofType
% 71.61/71.80 Found x4 as proof of (cP X)
% 71.61/71.80 Found x4:(cP x3)
% 71.61/71.80 Instantiate: X:=x3:fofType
% 71.61/71.80 Found x4 as proof of (cP X)
% 71.61/71.80 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x20:=(x2 x3):(cP X)
% 71.61/71.80 Instantiate: X:=X0:fofType
% 71.61/71.80 Found (x2 x3) as proof of (cP X0)
% 71.61/71.80 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 71.61/71.80 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 71.61/71.80 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 71.61/71.80 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 71.61/71.80 Found x20:=(x2 x10):(cP X)
% 71.61/71.80 Found (x2 x10) as proof of (cP X)
% 71.61/71.80 Found (x2 x10) as proof of (cP X)
% 71.61/71.80 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found x20:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x20 as proof of (cP X0)
% 71.61/71.80 Found x20:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x20 as proof of (cP X0)
% 71.61/71.80 Found x21:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x21 as proof of (cP X0)
% 71.61/71.80 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 71.61/71.80 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 71.61/71.80 Found x20:=(x2 x10):(cP X)
% 71.61/71.80 Found (x2 x10) as proof of (cP X)
% 71.61/71.80 Found (x2 x10) as proof of (cP X)
% 71.61/71.80 Found x21:(cP X)
% 71.61/71.80 Instantiate: X0:=X:fofType
% 71.61/71.80 Found x21 as proof of (cP X0)
% 71.61/71.80 Found x50:=(x5 x40):(cP X0)
% 71.61/71.80 Instantiate: X:=X0:fofType
% 71.61/71.80 Found (x5 x40) as proof of (cP X)
% 71.61/71.80 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 71.61/71.80 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 72.51/72.72 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Instantiate: X0:=X:fofType
% 72.51/72.72 Found (x2 x40) as proof of (cP X0)
% 72.51/72.72 Found (x2 x40) as proof of (cP X0)
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Instantiate: X0:=X:fofType
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Instantiate: X0:=X:fofType
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 72.51/72.72 Found x20:=(x2 x12):(cP X)
% 72.51/72.72 Found (x2 x12) as proof of (cP X)
% 72.51/72.72 Found (x2 x12) as proof of (cP X)
% 72.51/72.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Instantiate: x3:=X:fofType
% 72.51/72.72 Found (x2 x10) as proof of (cP x3)
% 72.51/72.72 Found (x2 x10) as proof of (cP x3)
% 72.51/72.72 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x12):(cP X)
% 72.51/72.72 Found (x2 x12) as proof of (cP X)
% 72.51/72.72 Found (x2 x12) as proof of (cP X)
% 72.51/72.72 Found x20:=(x2 x11):(cP X)
% 72.51/72.72 Found (x2 x11) as proof of (cP X)
% 72.51/72.72 Found (x2 x11) as proof of (cP X)
% 72.51/72.72 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 72.51/72.72 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x50:=(x5 x10):(cP X0)
% 72.51/72.72 Found (x5 x10) as proof of (cP X0)
% 72.51/72.72 Found (x5 x10) as proof of (cP X0)
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x40):(cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found (x2 x40) as proof of (cP X)
% 72.51/72.72 Found x50:=(x5 x10):(cP X0)
% 72.51/72.72 Instantiate: X:=X0:fofType
% 72.51/72.72 Found (x5 x10) as proof of (cP X)
% 72.51/72.72 Found (x5 x10) as proof of (cP X)
% 72.51/72.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found (x2 x10) as proof of (cP X)
% 72.51/72.72 Found x20:=(x2 x10):(cP X)
% 72.51/72.72 Instantiate: X0:=X:fofType
% 72.51/72.72 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found x50:=(x5 x10):(cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x50:=(x5 x40):(cP X0)
% 73.91/74.14 Found (x5 x40) as proof of (cP X0)
% 73.91/74.14 Found (x5 x40) as proof of (cP X0)
% 73.91/74.14 Found x20:=(x2 x11):(cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x40):(cP X)
% 73.91/74.14 Found (x2 x40) as proof of (cP X)
% 73.91/74.14 Found (x2 x40) as proof of (cP X)
% 73.91/74.14 Found x50:=(x5 x40):(cP X0)
% 73.91/74.14 Instantiate: X:=X0:fofType
% 73.91/74.14 Found (x5 x40) as proof of (cP X)
% 73.91/74.14 Found (x5 x40) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x40):(cP X)
% 73.91/74.14 Found (x2 x40) as proof of (cP X)
% 73.91/74.14 Found (x2 x40) as proof of (cP X)
% 73.91/74.14 Found x20:(cP X)
% 73.91/74.14 Instantiate: X0:=X:fofType
% 73.91/74.14 Found x20 as proof of (cP X0)
% 73.91/74.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found x50:=(x5 x10):(cP X0)
% 73.91/74.14 Instantiate: X:=X0:fofType
% 73.91/74.14 Found (x5 x10) as proof of (cP X)
% 73.91/74.14 Found (x5 x10) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Instantiate: X0:=X:fofType
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found x50:=(x5 x10):(cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Instantiate: X0:=X:fofType
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found x50:=(x5 x10):(cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found (x5 x10) as proof of (cP X0)
% 73.91/74.14 Found x50:=(x5 x10):(cP X0)
% 73.91/74.14 Instantiate: X:=X0:fofType
% 73.91/74.14 Found (x5 x10) as proof of (cP X)
% 73.91/74.14 Found (x5 x10) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found (x2 x10) as proof of (cP X)
% 73.91/74.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x20:=(x2 x11):(cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x11):(cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found (x2 x11) as proof of (cP X)
% 73.91/74.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x20:=(x2 x3):(cP X)
% 73.91/74.14 Found (x2 x3) as proof of (cP X)
% 73.91/74.14 Found (x2 x3) as proof of (cP X)
% 73.91/74.14 Found x20:=(x2 x10):(cP X)
% 73.91/74.14 Instantiate: X:=X0:fofType
% 73.91/74.14 Found (x2 x10) as proof of (cP X0)
% 73.91/74.14 Found x20:=(x2 x3):(cP X)
% 73.91/74.14 Found (x2 x3) as proof of (cP X0)
% 73.91/74.14 Found (x2 x3) as proof of (cP X0)
% 73.91/74.14 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x2 x3) as proof of (cP X0)
% 73.91/74.14 Found (x2 x3) as proof of (cP X0)
% 73.91/74.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 73.91/74.14 Found x20:(cP X)
% 73.91/74.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x20 as proof of (cP X0)
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x50:(cP X0)
% 77.90/78.14 Instantiate: X:=X0:fofType
% 77.90/78.14 Found x50 as proof of (cP X)
% 77.90/78.14 Found x20:(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x20 as proof of (cP X0)
% 77.90/78.14 Found x50:(cP X0)
% 77.90/78.14 Instantiate: X:=X0:fofType
% 77.90/78.14 Found x50 as proof of (cP X)
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found x21:(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x21 as proof of (cP X0)
% 77.90/78.14 Found x20:(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x20 as proof of (cP X0)
% 77.90/78.14 Found x21:(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x21 as proof of (cP X0)
% 77.90/78.14 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 77.90/78.14 Found x20:=(x2 x12):(cP X)
% 77.90/78.14 Found (x2 x12) as proof of (cP X)
% 77.90/78.14 Found (x2 x12) as proof of (cP X)
% 77.90/78.14 Found x21:(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found x21 as proof of (cP X0)
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x6:(cP x5)
% 77.90/78.14 Instantiate: X0:=x5:fofType
% 77.90/78.14 Found x6 as proof of (cP X0)
% 77.90/78.14 Found x20:=(x2 x12):(cP X)
% 77.90/78.14 Found (x2 x12) as proof of (cP X)
% 77.90/78.14 Found (x2 x12) as proof of (cP X)
% 77.90/78.14 Found x20:=(x2 x10):(cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found x20:=(x2 x10):(cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found x20:=(x2 x10):(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found x20:=(x2 x10):(cP X)
% 77.90/78.14 Instantiate: X0:=X:fofType
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found (x2 x10) as proof of (cP X0)
% 77.90/78.14 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x20:=(x2 x11):(cP X)
% 77.90/78.14 Found (x2 x11) as proof of (cP X)
% 77.90/78.14 Found (x2 x11) as proof of (cP X)
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found x20:=(x2 x3):(cP X)
% 77.90/78.14 Instantiate: X:=X0:fofType
% 77.90/78.14 Found (x2 x3) as proof of (cP X0)
% 77.90/78.14 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 77.90/78.14 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 77.90/78.14 Found x20:=(x2 x10):(cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found (x2 x10) as proof of (cP X)
% 77.90/78.14 Found x50:=(x5 x40):(cP X0)
% 77.90/78.14 Instantiate: X:=X0:fofType
% 77.90/78.14 Found (x5 x40) as proof of (cP X)
% 77.90/78.14 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 77.90/78.14 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 77.90/78.14 Found x20:=(x2 x40):(cP X)
% 77.90/78.14 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 79.09/79.35 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 79.09/79.35 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x11):(cP X)
% 79.09/79.35 Found (x2 x11) as proof of (cP X)
% 79.09/79.35 Found (x2 x11) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x11):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x11) as proof of (cP X0)
% 79.09/79.35 Found (x2 x11) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x40) as proof of (cP X0)
% 79.09/79.35 Found (x2 x40) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x50:=(x5 x10):(cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found (x2 x10) as proof of (cP X)
% 79.09/79.35 Found x50:=(x5 x10):(cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found x20:=(x2 x3):(cP X)
% 79.09/79.35 Instantiate: X:=X0:fofType
% 79.09/79.35 Found (x2 x3) as proof of (cP X0)
% 79.09/79.35 Found x50:=(x5 x40):(cP X0)
% 79.09/79.35 Instantiate: X:=X0:fofType
% 79.09/79.35 Found (x5 x40) as proof of (cP X)
% 79.09/79.35 Found (x5 x40) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x10):(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found (x2 x10) as proof of (cP X0)
% 79.09/79.35 Found x50:=(x5 x10):(cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found (x5 x10) as proof of (cP X0)
% 79.09/79.35 Found x20:(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found x20 as proof of (cP X0)
% 79.09/79.35 Found x20:(cP X)
% 79.09/79.35 Instantiate: X0:=X:fofType
% 79.09/79.35 Found x20 as proof of (cP X0)
% 79.09/79.35 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 79.09/79.35 Found x50:=(x5 x40):(cP X0)
% 79.09/79.35 Instantiate: X:=X0:fofType
% 79.09/79.35 Found (x5 x40) as proof of (cP X)
% 79.09/79.35 Found (x5 x40) as proof of (cP X)
% 79.09/79.35 Found x20:=(x2 x40):(cP X)
% 79.09/79.35 Found (x2 x40) as proof of (cP X)
% 81.01/81.28 Found (x2 x40) as proof of (cP X)
% 81.01/81.28 Found x50:=(x5 x10):(cP X0)
% 81.01/81.28 Instantiate: X:=X0:fofType
% 81.01/81.28 Found (x5 x10) as proof of (cP X)
% 81.01/81.28 Found (x5 x10) as proof of (cP X)
% 81.01/81.28 Found x20:=(x2 x10):(cP X)
% 81.01/81.28 Found (x2 x10) as proof of (cP X)
% 81.01/81.28 Found (x2 x10) as proof of (cP X)
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x50:=(x5 x10):(cP X0)
% 81.01/81.28 Found (x5 x10) as proof of (cP X0)
% 81.01/81.28 Found (x5 x10) as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x40):(cP X)
% 81.01/81.28 Instantiate: X0:=X:fofType
% 81.01/81.28 Found (x2 x40) as proof of (cP X0)
% 81.01/81.28 Found (x2 x40) as proof of (cP X0)
% 81.01/81.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x50:=(x5 x40):(cP X0)
% 81.01/81.28 Found (x5 x40) as proof of (cP X0)
% 81.01/81.28 Found (x5 x40) as proof of (cP X0)
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x5:(cP x4)
% 81.01/81.28 Instantiate: X0:=x4:fofType
% 81.01/81.28 Found x5 as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found x20:=(x2 x10):(cP X)
% 81.01/81.28 Instantiate: X:=X0:fofType
% 81.01/81.28 Found (x2 x10) as proof of (cP X0)
% 81.01/81.28 Found (x2 x10) as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x40:=(x4 x30):(cP X0)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x40:=(x4 x30):(cP X0)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found (x4 x30) as proof of (cP X)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found x20:=(x2 x10):(cP X)
% 81.01/81.28 Instantiate: X:=X0:fofType
% 81.01/81.28 Found (x2 x10) as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X)
% 81.01/81.28 Found x20:=(x2 x10):(cP X)
% 81.01/81.28 Instantiate: X:=X0:fofType
% 81.01/81.28 Found (x2 x10) as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x3):(cP X)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found (x2 x3) as proof of (cP X0)
% 81.01/81.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 81.01/81.28 Found x20:(cP X)
% 81.01/81.28 Found x20 as proof of (cP X)
% 81.01/81.28 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 81.01/81.28 Found x20:(cP X)
% 81.01/81.28 Instantiate: X0:=X:fofType
% 81.01/81.28 Found x20 as proof of (cP X0)
% 81.01/81.28 Found x20:=(x2 x10):(cP X)
% 81.01/81.28 Instantiate: X0:=X:fofType
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found x50:=(x5 x10):(cP X0)
% 82.92/83.18 Found (x5 x10) as proof of (cP X0)
% 82.92/83.18 Found (x5 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found x6:(cP x5)
% 82.92/83.18 Instantiate: X0:=x5:fofType
% 82.92/83.18 Found x6 as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP x3)
% 82.92/83.18 Found (x2 x10) as proof of (cP x3)
% 82.92/83.18 Found (x2 x10) as proof of (cP x3)
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Instantiate: X:=X0:fofType
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Instantiate: X:=X0:fofType
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Instantiate: X:=X0:fofType
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x11):(cP X)
% 82.92/83.18 Found (x2 x11) as proof of (cP X)
% 82.92/83.18 Found (x2 x11) as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x11):(cP X)
% 82.92/83.18 Found (x2 x11) as proof of (cP X)
% 82.92/83.18 Found (x2 x11) as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x11):(cP X)
% 82.92/83.18 Instantiate: X0:=X:fofType
% 82.92/83.18 Found (x2 x11) as proof of (cP X0)
% 82.92/83.18 Found (x2 x11) as proof of (cP X0)
% 82.92/83.18 Found x4:(cP x3)
% 82.92/83.18 Instantiate: X:=x3:fofType
% 82.92/83.18 Found x4 as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x11):(cP X)
% 82.92/83.18 Instantiate: X0:=X:fofType
% 82.92/83.18 Found (x2 x11) as proof of (cP X0)
% 82.92/83.18 Found (x2 x11) as proof of (cP X0)
% 82.92/83.18 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Instantiate: X0:=X:fofType
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found (x2 x10) as proof of (cP X0)
% 82.92/83.18 Found x20:=(x2 x10):(cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found (x2 x10) as proof of (cP X)
% 82.92/83.18 Found x20:=(x2 x3):(cP X)
% 82.92/83.18 Instantiate: X:=X0:fofType
% 82.92/83.18 Found (x2 x3) as proof of (cP X0)
% 82.92/83.18 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 82.92/83.18 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 84.30/84.50 Found x20:=(x2 x10):(cP X)
% 84.30/84.50 Instantiate: X0:=X:fofType
% 84.30/84.50 Found (x2 x10) as proof of (cP X0)
% 84.30/84.50 Found (x2 x10) as proof of (cP X0)
% 84.30/84.50 Found x50:=(x5 x10):(cP X0)
% 84.30/84.50 Found (x5 x10) as proof of (cP X0)
% 84.30/84.50 Found (x5 x10) as proof of (cP X0)
% 84.30/84.50 Found x20:=(x2 x40):(cP X)
% 84.30/84.50 Found (x2 x40) as proof of (cP X)
% 84.30/84.50 Found (x2 x40) as proof of (cP X)
% 84.30/84.50 Found x50:=(x5 x10):(cP X0)
% 84.30/84.50 Instantiate: X:=X0:fofType
% 84.30/84.50 Found (x5 x10) as proof of (cP X)
% 84.30/84.50 Found (x5 x10) as proof of (cP X)
% 84.30/84.50 Found x20:=(x2 x10):(cP X)
% 84.30/84.50 Found (x2 x10) as proof of (cP X)
% 84.30/84.50 Found (x2 x10) as proof of (cP X)
% 84.30/84.50 Found x20:=(x2 x40):(cP X)
% 84.30/84.50 Instantiate: X0:=X:fofType
% 84.30/84.50 Found (x2 x40) as proof of (cP X0)
% 84.30/84.50 Found (x2 x40) as proof of (cP X0)
% 84.30/84.50 Found x50:=(x5 x40):(cP X0)
% 84.30/84.50 Found (x5 x40) as proof of (cP X0)
% 84.30/84.50 Found (x5 x40) as proof of (cP X0)
% 84.30/84.50 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 84.30/84.50 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x20:(cP X)
% 84.30/84.50 Instantiate: X0:=X:fofType
% 84.30/84.50 Found x20 as proof of (cP X0)
% 84.30/84.50 Found x20:(cP X)
% 84.30/84.50 Instantiate: X0:=X:fofType
% 84.30/84.50 Found x20 as proof of (cP X0)
% 84.30/84.50 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x50:=(x5 x41):(cP X0)
% 84.30/84.50 Found (x5 x41) as proof of (cP X0)
% 84.30/84.50 Found (x5 x41) as proof of (cP X0)
% 84.30/84.50 Found x40:=(x4 x30):(cP X0)
% 84.30/84.50 Found (x4 x30) as proof of (cP X)
% 84.30/84.50 Found (x4 x30) as proof of (cP X)
% 84.30/84.50 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 84.30/84.50 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 84.30/84.50 Found x50:=(x5 x11):(cP X0)
% 84.30/84.50 Instantiate: X:=X0:fofType
% 84.30/84.50 Found (x5 x11) as proof of (cP X)
% 84.30/84.50 Found (x5 x11) as proof of (cP X)
% 84.30/84.50 Found x20:=(x2 x40):(cP X)
% 84.30/84.50 Found (x2 x40) as proof of (cP X)
% 84.30/84.50 Found (x2 x40) as proof of (cP X)
% 84.30/84.50 Found x50:=(x5 x10):(cP X0)
% 84.30/84.50 Found (x5 x10) as proof of (cP X0)
% 84.30/84.50 Found (x5 x10) as proof of (cP X0)
% 84.30/84.50 Found x20:=(x2 x11):(cP X)
% 84.30/84.50 Found (x2 x11) as proof of (cP X)
% 84.30/84.50 Found (x2 x11) as proof of (cP X)
% 84.30/84.50 Found x20:=(x2 x41):(cP X)
% 84.30/84.50 Found (x2 x41) as proof of (cP X)
% 84.30/84.50 Found (x2 x41) as proof of (cP X)
% 84.30/84.50 Found x20:=(x2 x10):(cP X)
% 84.30/84.50 Found (x2 x10) as proof of (cP X)
% 84.30/84.50 Found (x2 x10) as proof of (cP X)
% 84.30/84.50 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x2 x10) as proof of (cP X0)
% 84.30/84.50 Found (x2 x10) as proof of (cP X0)
% 84.30/84.50 Found (x2 x10) as proof of (cP X0)
% 84.30/84.50 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.30/84.50 Found x50:=(x5 x11):(cP X0)
% 84.30/84.50 Found (x5 x11) as proof of (cP X0)
% 84.30/84.50 Found (x5 x11) as proof of (cP X0)
% 84.30/84.50 Found x20:=(x2 x40):(cP X)
% 84.30/84.50 Instantiate: X0:=X:fofType
% 84.99/85.21 Found (x2 x40) as proof of (cP X0)
% 84.99/85.21 Found (x2 x40) as proof of (cP X0)
% 84.99/85.21 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x50:=(x5 x40):(cP X0)
% 84.99/85.21 Found (x5 x40) as proof of (cP X0)
% 84.99/85.21 Found (x5 x40) as proof of (cP X0)
% 84.99/85.21 Found x40:=(x4 x30):(cP X0)
% 84.99/85.21 Found (x4 x30) as proof of (cP X)
% 84.99/85.21 Found (x4 x30) as proof of (cP X)
% 84.99/85.21 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 84.99/85.21 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x50:=(x5 x40):(cP X0)
% 84.99/85.21 Found (x5 x40) as proof of (cP X0)
% 84.99/85.21 Found (x5 x40) as proof of (cP X0)
% 84.99/85.21 Found x50:=(x5 x10):(cP X0)
% 84.99/85.21 Instantiate: X:=X0:fofType
% 84.99/85.21 Found (x5 x10) as proof of (cP X)
% 84.99/85.21 Found (x5 x10) as proof of (cP X)
% 84.99/85.21 Found x20:=(x2 x10):(cP X)
% 84.99/85.21 Found (x2 x10) as proof of (cP X)
% 84.99/85.21 Found (x2 x10) as proof of (cP X)
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x20:=(x2 x10):(cP X)
% 84.99/85.21 Instantiate: X0:=X:fofType
% 84.99/85.21 Found (x2 x10) as proof of (cP X0)
% 84.99/85.21 Found (x2 x10) as proof of (cP X0)
% 84.99/85.21 Found x50:=(x5 x40):(cP X0)
% 84.99/85.21 Instantiate: X:=X0:fofType
% 84.99/85.21 Found (x5 x40) as proof of (cP X)
% 84.99/85.21 Found (x5 x40) as proof of (cP X)
% 84.99/85.21 Found x20:=(x2 x40):(cP X)
% 84.99/85.21 Found (x2 x40) as proof of (cP X)
% 84.99/85.21 Found (x2 x40) as proof of (cP X)
% 84.99/85.21 Found x50:=(x5 x10):(cP X0)
% 84.99/85.21 Found (x5 x10) as proof of (cP X0)
% 84.99/85.21 Found (x5 x10) as proof of (cP X0)
% 84.99/85.21 Found x50:=(x5 x10):(cP X0)
% 84.99/85.21 Found (x5 x10) as proof of (cP X0)
% 84.99/85.21 Found (x5 x10) as proof of (cP X0)
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x20:=(x2 x40):(cP X)
% 84.99/85.21 Found (x2 x40) as proof of (cP X)
% 84.99/85.21 Found (x2 x40) as proof of (cP X)
% 84.99/85.21 Found x7:(cP x6)
% 84.99/85.21 Instantiate: X0:=x6:fofType
% 84.99/85.21 Found x7 as proof of (cP X0)
% 84.99/85.21 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 84.99/85.21 Found x20:=(x2 x3):(cP X)
% 84.99/85.21 Found (x2 x3) as proof of (cP X)
% 84.99/85.21 Found (x2 x3) as proof of (cP X)
% 84.99/85.21 Found x20:=(x2 x10):(cP X)
% 84.99/85.21 Instantiate: X:=X0:fofType
% 84.99/85.21 Found (x2 x10) as proof of (cP X0)
% 84.99/85.21 Found (x2 x10) as proof of (cP X0)
% 84.99/85.21 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x7:(cP x6)
% 86.79/87.04 Instantiate: X:=x6:fofType
% 86.79/87.04 Found x7 as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Instantiate: X0:=X:fofType
% 86.79/87.04 Found x20 as proof of (cP X0)
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Found x20 as proof of (cP X)
% 86.79/87.04 Found x50:=(x5 x10):(cP X0)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found (x5 x10) as proof of (cP X)
% 86.79/87.04 Found (x5 x10) as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Instantiate: X0:=X:fofType
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Found (x2 x10) as proof of (cP X)
% 86.79/87.04 Found (x2 x10) as proof of (cP X)
% 86.79/87.04 Found x50:=(x5 x10):(cP X0)
% 86.79/87.04 Found (x5 x10) as proof of (cP X0)
% 86.79/87.04 Found (x5 x10) as proof of (cP X0)
% 86.79/87.04 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x3):(cP X)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found (x2 x3) as proof of (cP X0)
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Instantiate: X0:=X:fofType
% 86.79/87.04 Found x20 as proof of (cP X0)
% 86.79/87.04 Found x4:(cP x3)
% 86.79/87.04 Instantiate: X:=x3:fofType
% 86.79/87.04 Found x4 as proof of (cP X)
% 86.79/87.04 Found x50:(cP X0)
% 86.79/87.04 Found x50 as proof of (cP X0)
% 86.79/87.04 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x50:(cP X0)
% 86.79/87.04 Instantiate: X:=X0:fofType
% 86.79/87.04 Found x50 as proof of (cP X)
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Instantiate: X0:=X:fofType
% 86.79/87.04 Found x20 as proof of (cP X0)
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Found x20 as proof of (cP X0)
% 86.79/87.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x20:(cP X)
% 86.79/87.04 Found x20 as proof of (cP X)
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Found (x2 x10) as proof of (cP x3)
% 86.79/87.04 Found (x2 x10) as proof of (cP x3)
% 86.79/87.04 Found (x2 x10) as proof of (cP x3)
% 86.79/87.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 86.79/87.04 Found x20:=(x2 x10):(cP X)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found (x2 x10) as proof of (cP X0)
% 86.79/87.04 Found x20:=(x2 x40):(cP X)
% 87.79/88.06 Found (x2 x40) as proof of (cP X0)
% 87.79/88.06 Found (x2 x40) as proof of (cP X0)
% 87.79/88.06 Found (x2 x40) as proof of (cP X0)
% 87.79/88.06 Found x50:=(x5 x10):(cP X0)
% 87.79/88.06 Found (x5 x10) as proof of (cP X0)
% 87.79/88.06 Found (x5 x10) as proof of (cP X0)
% 87.79/88.06 Found x50:=(x5 x10):(cP X0)
% 87.79/88.06 Instantiate: X:=X0:fofType
% 87.79/88.06 Found (x5 x10) as proof of (cP X)
% 87.79/88.06 Found (x5 x10) as proof of (cP X)
% 87.79/88.06 Found x20:=(x2 x10):(cP X)
% 87.79/88.06 Found (x2 x10) as proof of (cP X)
% 87.79/88.06 Found (x2 x10) as proof of (cP X)
% 87.79/88.06 Found x6:(cP x5)
% 87.79/88.06 Instantiate: X0:=x5:fofType
% 87.79/88.06 Found x6 as proof of (cP X0)
% 87.79/88.06 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.06 Found x20:=(x2 x10):(cP X)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found x20:=(x2 x10):(cP X)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found (x2 x10) as proof of (cP X0)
% 87.79/88.06 Found x20:=(x2 x40):(cP X)
% 87.79/88.06 Found (x2 x40) as proof of (cP X)
% 87.79/88.06 Found (x2 x40) as proof of (cP X)
% 87.79/88.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x50:=(x5 x10):(cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 87.79/88.07 Found x20:(cP X)
% 87.79/88.07 Found x20 as proof of (cP X0)
% 87.79/88.07 Found x20:(cP X)
% 87.79/88.07 Instantiate: X:=X0:fofType
% 87.79/88.07 Found x20 as proof of (cP X0)
% 87.79/88.07 Found x50:=(x5 x10):(cP X0)
% 87.79/88.07 Instantiate: X:=X0:fofType
% 87.79/88.07 Found (x5 x10) as proof of (cP X)
% 87.79/88.07 Found (x5 x10) as proof of (cP X)
% 87.79/88.07 Found x20:=(x2 x10):(cP X)
% 87.79/88.07 Found (x2 x10) as proof of (cP X)
% 87.79/88.07 Found (x2 x10) as proof of (cP X)
% 87.79/88.07 Found x20:=(x2 x10):(cP X)
% 87.79/88.07 Instantiate: X0:=X:fofType
% 87.79/88.07 Found (x2 x10) as proof of (cP X0)
% 87.79/88.07 Found (x2 x10) as proof of (cP X0)
% 87.79/88.07 Found x50:=(x5 x10):(cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x50:=(x5 x10):(cP X0)
% 87.79/88.07 Instantiate: X:=X0:fofType
% 87.79/88.07 Found (x5 x10) as proof of (cP X)
% 87.79/88.07 Found (x5 x10) as proof of (cP X)
% 87.79/88.07 Found x20:=(x2 x10):(cP X)
% 87.79/88.07 Instantiate: X0:=X:fofType
% 87.79/88.07 Found (x2 x10) as proof of (cP X0)
% 87.79/88.07 Found (x2 x10) as proof of (cP X0)
% 87.79/88.07 Found x50:=(x5 x10):(cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found (x5 x10) as proof of (cP X0)
% 87.79/88.07 Found x20:=(x2 x11):(cP X)
% 87.79/88.07 Found (x2 x11) as proof of (cP X)
% 87.79/88.07 Found (x2 x11) as proof of (cP X)
% 87.79/88.07 Found x20:=(x2 x11):(cP X)
% 87.79/88.07 Instantiate: X0:=X:fofType
% 87.79/88.07 Found (x2 x11) as proof of (cP X0)
% 87.79/88.07 Found (x2 x11) as proof of (cP X0)
% 87.79/88.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 87.79/88.07 Found x50:=(x5 x11):(cP X0)
% 87.79/88.07 Found (x5 x11) as proof of (cP X0)
% 87.79/88.07 Found (x5 x11) as proof of (cP X0)
% 87.79/88.07 Found x20:=(x2 x10):(cP X)
% 87.79/88.07 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found x50:=(x5 x41):(cP X0)
% 88.60/88.83 Instantiate: X:=X0:fofType
% 88.60/88.83 Found (x5 x41) as proof of (cP X)
% 88.60/88.83 Found (x5 x41) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x40):(cP X)
% 88.60/88.83 Found (x2 x40) as proof of (cP X)
% 88.60/88.83 Found (x2 x40) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x41):(cP X)
% 88.60/88.83 Found (x2 x41) as proof of (cP X)
% 88.60/88.83 Found (x2 x41) as proof of (cP X)
% 88.60/88.83 Found x50:=(x5 x11):(cP X0)
% 88.60/88.83 Found (x5 x11) as proof of (cP X0)
% 88.60/88.83 Found (x5 x11) as proof of (cP X0)
% 88.60/88.83 Found x50:=(x5 x10):(cP X0)
% 88.60/88.83 Found (x5 x10) as proof of (cP X0)
% 88.60/88.83 Found (x5 x10) as proof of (cP X0)
% 88.60/88.83 Found x20:=(x2 x3):(cP X)
% 88.60/88.83 Instantiate: X:=X0:fofType
% 88.60/88.83 Found (x2 x3) as proof of (cP X0)
% 88.60/88.83 Found x20:=(x2 x40):(cP X)
% 88.60/88.83 Instantiate: X0:=X:fofType
% 88.60/88.83 Found (x2 x40) as proof of (cP X0)
% 88.60/88.83 Found (x2 x40) as proof of (cP X0)
% 88.60/88.83 Found x50:=(x5 x40):(cP X0)
% 88.60/88.83 Found (x5 x40) as proof of (cP X0)
% 88.60/88.83 Found (x5 x40) as proof of (cP X0)
% 88.60/88.83 Found x20:=(x2 x10):(cP X)
% 88.60/88.83 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x11):(cP X)
% 88.60/88.83 Found (x2 x11) as proof of (cP X)
% 88.60/88.83 Found (x2 x11) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x41):(cP X)
% 88.60/88.83 Instantiate: X0:=X:fofType
% 88.60/88.83 Found (x2 x41) as proof of (cP X0)
% 88.60/88.83 Found (x2 x41) as proof of (cP X0)
% 88.60/88.83 Found x50:=(x5 x41):(cP X0)
% 88.60/88.83 Found (x5 x41) as proof of (cP X0)
% 88.60/88.83 Found (x5 x41) as proof of (cP X0)
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 88.60/88.83 Found x20:(cP X)
% 88.60/88.83 Found x20 as proof of (cP X0)
% 88.60/88.83 Found x20:(cP X)
% 88.60/88.83 Instantiate: X:=X0:fofType
% 88.60/88.83 Found x20 as proof of (cP X0)
% 88.60/88.83 Found x20:(cP X)
% 88.60/88.83 Instantiate: X0:=X:fofType
% 88.60/88.83 Found x20 as proof of (cP X0)
% 88.60/88.83 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x50:=(x5 x40):(cP X0)
% 88.60/88.83 Found (x5 x40) as proof of (cP X0)
% 88.60/88.83 Found (x5 x40) as proof of (cP X0)
% 88.60/88.83 Found x50:=(x5 x40):(cP X0)
% 88.60/88.83 Instantiate: X:=X0:fofType
% 88.60/88.83 Found (x5 x40) as proof of (cP X)
% 88.60/88.83 Found (x5 x40) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x10):(cP X)
% 88.60/88.83 Instantiate: X0:=X:fofType
% 88.60/88.83 Found (x2 x10) as proof of (cP X0)
% 88.60/88.83 Found (x2 x10) as proof of (cP X0)
% 88.60/88.83 Found x50:=(x5 x10):(cP X0)
% 88.60/88.83 Found (x5 x10) as proof of (cP X0)
% 88.60/88.83 Found (x5 x10) as proof of (cP X0)
% 88.60/88.83 Found x20:=(x2 x40):(cP X)
% 88.60/88.83 Found (x2 x40) as proof of (cP X)
% 88.60/88.83 Found (x2 x40) as proof of (cP X)
% 88.60/88.83 Found x50:=(x5 x10):(cP X0)
% 88.60/88.83 Instantiate: X:=X0:fofType
% 88.60/88.83 Found (x5 x10) as proof of (cP X)
% 88.60/88.83 Found (x5 x10) as proof of (cP X)
% 88.60/88.83 Found x20:=(x2 x10):(cP X)
% 88.60/88.83 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found (x2 x10) as proof of (cP X)
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x7:(cP x6)
% 88.60/88.83 Instantiate: X0:=x6:fofType
% 88.60/88.83 Found x7 as proof of (cP X0)
% 88.60/88.83 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 88.60/88.83 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x5:(cP x4)
% 90.59/90.82 Instantiate: X0:=x4:fofType
% 90.59/90.82 Found x5 as proof of (cP X0)
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x20:(cP X)
% 90.59/90.82 Instantiate: X:=X0:fofType
% 90.59/90.82 Found x20 as proof of (cP X0)
% 90.59/90.82 Found x20:=(x2 x40):(cP X)
% 90.59/90.82 Found (x2 x40) as proof of (cP X)
% 90.59/90.82 Found (x2 x40) as proof of (cP X)
% 90.59/90.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x20:=(x2 x10):(cP X)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x20:(cP X)
% 90.59/90.82 Found x20 as proof of (cP X)
% 90.59/90.82 Found x20:(cP X)
% 90.59/90.82 Instantiate: X0:=X:fofType
% 90.59/90.82 Found x20 as proof of (cP X0)
% 90.59/90.82 Found x20:=(x2 x10):(cP X)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found x50:=(x5 x10):(cP X0)
% 90.59/90.82 Found (x5 x10) as proof of (cP X0)
% 90.59/90.82 Found (x5 x10) as proof of (cP X0)
% 90.59/90.82 Found x20:=(x2 x10):(cP X)
% 90.59/90.82 Found (x2 x10) as proof of (cP X)
% 90.59/90.82 Found (x2 x10) as proof of (cP X)
% 90.59/90.82 Found x00:=(x0 X):(cP X)
% 90.59/90.82 Found (x0 X) as proof of (cP X)
% 90.59/90.82 Found (x0 X) as proof of (cP X)
% 90.59/90.82 Found (x2 (x0 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 90.59/90.82 Found (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 90.59/90.82 Found (and_rect00 (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found ((and_rect0 ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) x1)) ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x2 (x0 X)))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 90.59/90.82 Found x20:=(x2 x10):(cP X)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found (x2 x10) as proof of (cP X0)
% 90.59/90.82 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x20:=(x2 x12):(cP X)
% 91.69/91.90 Found (x2 x12) as proof of (cP X)
% 91.69/91.90 Found (x2 x12) as proof of (cP X)
% 91.69/91.90 Found x6:(cP x5)
% 91.69/91.90 Instantiate: X0:=x5:fofType
% 91.69/91.90 Found x6 as proof of (cP X0)
% 91.69/91.90 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x20:=(x2 x10):(cP X)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found x20:=(x2 x10):(cP X)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found x20:=(x2 x10):(cP X)
% 91.69/91.90 Instantiate: X0:=X:fofType
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found (x2 x10) as proof of (cP X0)
% 91.69/91.90 Found x20:=(x2 x11):(cP X)
% 91.69/91.90 Found (x2 x11) as proof of (cP X0)
% 91.69/91.90 Found (x2 x11) as proof of (cP X0)
% 91.69/91.90 Found (x2 x11) as proof of (cP X0)
% 91.69/91.90 Found x50:=(x5 x40):(cP X0)
% 91.69/91.90 Instantiate: X:=X0:fofType
% 91.69/91.90 Found (x5 x40) as proof of (cP X)
% 91.69/91.90 Found (x5 x40) as proof of (cP X)
% 91.69/91.90 Found x20:=(x2 x40):(cP X)
% 91.69/91.90 Found (x2 x40) as proof of (cP X)
% 91.69/91.90 Found (x2 x40) as proof of (cP X)
% 91.69/91.90 Found x20:=(x2 x10):(cP X)
% 91.69/91.90 Found (x2 x10) as proof of (cP X)
% 91.69/91.90 Found (x2 x10) as proof of (cP X)
% 91.69/91.90 Found x50:=(x5 x10):(cP X0)
% 91.69/91.90 Found (x5 x10) as proof of (cP X0)
% 91.69/91.90 Found (x5 x10) as proof of (cP X0)
% 91.69/91.90 Found x50:=(x5 x40):(cP X0)
% 91.69/91.90 Found (x5 x40) as proof of (cP X0)
% 91.69/91.90 Found (x5 x40) as proof of (cP X0)
% 91.69/91.90 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Instantiate: X0:=X:fofType
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x4 x30) as proof of (cP X)
% 91.69/91.90 Found (x4 x30) as proof of (cP X)
% 91.69/91.90 Found (x4 x30) as proof of (cP X)
% 91.69/91.90 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Instantiate: X:=X0:fofType
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Instantiate: X0:=X:fofType
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x20:(cP X)
% 91.69/91.90 Found x20 as proof of (cP X0)
% 91.69/91.90 Found x50:=(x5 x11):(cP X0)
% 91.69/91.90 Instantiate: X:=X0:fofType
% 91.69/91.90 Found (x5 x11) as proof of (cP X)
% 91.69/91.90 Found (x5 x11) as proof of (cP X)
% 91.69/91.90 Found x20:=(x2 x11):(cP X)
% 91.69/91.90 Found (x2 x11) as proof of (cP X)
% 91.69/91.90 Found (x2 x11) as proof of (cP X)
% 91.69/91.90 Found x50:=(x5 x11):(cP X0)
% 91.69/91.90 Found (x5 x11) as proof of (cP X0)
% 91.69/91.90 Found (x5 x11) as proof of (cP X0)
% 91.69/91.90 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 91.69/91.90 Found x20:=(x2 x11):(cP X)
% 91.69/91.90 Found (x2 x11) as proof of (cP X)
% 91.69/91.90 Found (x2 x11) as proof of (cP X)
% 91.69/91.90 Found x20:=(x2 x11):(cP X)
% 91.69/91.90 Instantiate: X0:=X:fofType
% 91.69/91.90 Found (x2 x11) as proof of (cP X0)
% 91.69/91.90 Found (x2 x11) as proof of (cP X0)
% 91.69/91.90 Found x50:=(x5 x11):(cP X0)
% 91.69/91.90 Found (x5 x11) as proof of (cP X0)
% 91.69/91.90 Found (x5 x11) as proof of (cP X0)
% 91.69/91.90 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x4 x30) as proof of (cP X)
% 92.50/92.71 Found (x4 x30) as proof of (cP X)
% 92.50/92.71 Found (x4 x30) as proof of (cP X)
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found (x2 x40) as proof of (cP X0)
% 92.50/92.71 Found (x2 x40) as proof of (cP X0)
% 92.50/92.71 Found x50:=(x5 x11):(cP X0)
% 92.50/92.71 Instantiate: X:=X0:fofType
% 92.50/92.71 Found (x5 x11) as proof of (cP X)
% 92.50/92.71 Found (x5 x11) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x11):(cP X)
% 92.50/92.71 Found (x2 x11) as proof of (cP X)
% 92.50/92.71 Found (x2 x11) as proof of (cP X)
% 92.50/92.71 Found x50:=(x5 x40):(cP X0)
% 92.50/92.71 Found (x5 x40) as proof of (cP X0)
% 92.50/92.71 Found (x5 x40) as proof of (cP X0)
% 92.50/92.71 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x50:=(x5 x40):(cP X0)
% 92.50/92.71 Instantiate: X:=X0:fofType
% 92.50/92.71 Found (x5 x40) as proof of (cP X)
% 92.50/92.71 Found (x5 x40) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x11):(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found (x2 x11) as proof of (cP X0)
% 92.50/92.71 Found (x2 x11) as proof of (cP X0)
% 92.50/92.71 Found x50:=(x5 x11):(cP X0)
% 92.50/92.71 Found (x5 x11) as proof of (cP X0)
% 92.50/92.71 Found (x5 x11) as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X0)
% 92.50/92.71 Found (x2 x40) as proof of (cP X0)
% 92.50/92.71 Found (x2 x40) as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Found (x2 x10) as proof of (cP X)
% 92.50/92.71 Found (x2 x10) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x50:=(x5 x10):(cP X0)
% 92.50/92.71 Found (x5 x10) as proof of (cP X0)
% 92.50/92.71 Found (x5 x10) as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x21:(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found x21 as proof of (cP X0)
% 92.50/92.71 Found x20:=(x2 x40):(cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found (x2 x40) as proof of (cP X)
% 92.50/92.71 Found x20:=(x2 x10):(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found (x2 x10) as proof of (cP X0)
% 92.50/92.71 Found x21:(cP X)
% 92.50/92.71 Instantiate: X0:=X:fofType
% 92.50/92.71 Found x21 as proof of (cP X0)
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x50:=(x5 x10):(cP X0)
% 92.50/92.71 Found (x5 x10) as proof of (cP X0)
% 92.50/92.71 Found (x5 x10) as proof of (cP X0)
% 92.50/92.71 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 92.50/92.71 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x50:=(x5 x10):(cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found x20:=(x2 x10):(cP X)
% 94.98/95.22 Found (x2 x10) as proof of (cP X)
% 94.98/95.22 Found (x2 x10) as proof of (cP X)
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x20:(cP X)
% 94.98/95.22 Found x20 as proof of (cP X0)
% 94.98/95.22 Found x20:(cP X)
% 94.98/95.22 Found x20 as proof of (cP X0)
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x50:=(x5 x10):(cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found x50:=(x5 x40):(cP X0)
% 94.98/95.22 Instantiate: X:=X0:fofType
% 94.98/95.22 Found (x5 x40) as proof of (cP X)
% 94.98/95.22 Found (x5 x40) as proof of (cP X)
% 94.98/95.22 Found x20:=(x2 x40):(cP X)
% 94.98/95.22 Found (x2 x40) as proof of (cP X)
% 94.98/95.22 Found (x2 x40) as proof of (cP X)
% 94.98/95.22 Found x20:=(x2 x10):(cP X)
% 94.98/95.22 Instantiate: X0:=X:fofType
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found x50:=(x5 x10):(cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found (x5 x10) as proof of (cP X0)
% 94.98/95.22 Found x20:=(x2 x40):(cP X)
% 94.98/95.22 Found (x2 x40) as proof of (cP X)
% 94.98/95.22 Found (x2 x40) as proof of (cP X)
% 94.98/95.22 Found x7:(cP x6)
% 94.98/95.22 Instantiate: X0:=x6:fofType
% 94.98/95.22 Found x7 as proof of (cP X0)
% 94.98/95.22 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x40:(cP X0)
% 94.98/95.22 Instantiate: X:=X0:fofType
% 94.98/95.22 Found x40 as proof of (cP X)
% 94.98/95.22 Found x20:=(x2 x3):(cP X)
% 94.98/95.22 Instantiate: X:=X0:fofType
% 94.98/95.22 Found (x2 x3) as proof of (cP X0)
% 94.98/95.22 Found x20:=(x2 x3):(cP X)
% 94.98/95.22 Instantiate: X:=X0:fofType
% 94.98/95.22 Found (x2 x3) as proof of (cP X0)
% 94.98/95.22 Found x50:=(x5 x40):(cP X0)
% 94.98/95.22 Instantiate: X:=X0:fofType
% 94.98/95.22 Found (x5 x40) as proof of (cP X)
% 94.98/95.22 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 94.98/95.22 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 94.98/95.22 Found x20:=(x2 x40):(cP X)
% 94.98/95.22 Found (x2 x40) as proof of (cP X)
% 94.98/95.22 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 94.98/95.22 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 94.98/95.22 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found x20:=(x2 x10):(cP X)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found (x2 x10) as proof of (cP X0)
% 94.98/95.22 Found x20:(cP X)
% 94.98/95.22 Instantiate: X0:=X:fofType
% 94.98/95.22 Found x20 as proof of (cP X0)
% 94.98/95.22 Found x30:=(x3 x0):(cP X0)
% 94.98/95.22 Instantiate: X0:=X:fofType
% 94.98/95.22 Found (x3 x0) as proof of (cP X)
% 94.98/95.22 Found (fun (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (cP X)
% 95.28/95.57 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 95.28/95.57 Found (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 95.28/95.57 Found (and_rect00 (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 95.28/95.57 Found ((and_rect0 (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 95.28/95.57 Found (((fun (P:Type) (x2:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x2) x1)) (cP X)) (fun (x2:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x3 x0))) as proof of (cP X)
% 95.28/95.57 Found (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0))) as proof of (cP X)
% 95.28/95.57 Found (fun (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (cP X)
% 95.28/95.57 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (forall (X:fofType), (cP X))
% 95.28/95.57 Found (fun (x0:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X:fofType)=> (((fun (P:Type) (x2:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x2) (x X))) (cP X)) (fun (x2:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x3:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (x3 x0)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 95.28/95.57 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x20:(cP X)
% 95.28/95.57 Found x20 as proof of (cP X)
% 95.28/95.57 Found x20:=(x2 x10):(cP X)
% 95.28/95.57 Found (x2 x10) as proof of (cP X0)
% 95.28/95.57 Found (x2 x10) as proof of (cP X0)
% 95.28/95.57 Found (x2 x10) as proof of (cP X0)
% 95.28/95.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 95.28/95.57 Found x20:=(x2 x3):(cP X)
% 95.28/95.57 Instantiate: X:=X0:fofType
% 95.28/95.57 Found (x2 x3) as proof of (cP X0)
% 95.28/95.57 Found x20:=(x2 x3):(cP X)
% 95.28/95.57 Instantiate: X:=X0:fofType
% 95.28/95.57 Found (x2 x3) as proof of (cP X0)
% 95.28/95.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x20:=(x2 x40):(cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Found x20 as proof of (cP X)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X0:=X:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X:=X0:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X:=X0:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x20:=(x2 x40):(cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x50:=(x5 x40):(cP X0)
% 97.51/97.75 Found (x5 x40) as proof of (cP X0)
% 97.51/97.75 Found (x5 x40) as proof of (cP X0)
% 97.51/97.75 Found x20:=(x2 x40):(cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found (x2 x40) as proof of (cP X)
% 97.51/97.75 Found x20:=(x2 x10):(cP X)
% 97.51/97.75 Found (x2 x10) as proof of (cP X)
% 97.51/97.75 Found (x2 x10) as proof of (cP X)
% 97.51/97.75 Found x20:=(x2 x10):(cP X)
% 97.51/97.75 Instantiate: X0:=X:fofType
% 97.51/97.75 Found (x2 x10) as proof of (cP X0)
% 97.51/97.75 Found (x2 x10) as proof of (cP X0)
% 97.51/97.75 Found x50:=(x5 x10):(cP X0)
% 97.51/97.75 Found (x5 x10) as proof of (cP X0)
% 97.51/97.75 Found (x5 x10) as proof of (cP X0)
% 97.51/97.75 Found x20:=(x2 x11):(cP X)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x20:=(x2 x11):(cP X)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found (x2 x11) as proof of (cP X0)
% 97.51/97.75 Found x50:(cP X0)
% 97.51/97.75 Instantiate: X:=X0:fofType
% 97.51/97.75 Found x50 as proof of (cP X)
% 97.51/97.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x20:=(x2 x10):(cP X)
% 97.51/97.75 Found (x2 x10) as proof of (cP X)
% 97.51/97.75 Found (x2 x10) as proof of (cP X)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X0:=X:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X:=X0:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X:=X0:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x4 x30) as proof of (cP X)
% 97.51/97.75 Found (x4 x30) as proof of (cP X)
% 97.51/97.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 97.51/97.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 97.51/97.75 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x4 x30) as proof of (cP X)
% 97.51/97.75 Found (x4 x30) as proof of (cP X)
% 97.51/97.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 97.51/97.75 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 97.51/97.75 Found x20:(cP X)
% 97.51/97.75 Instantiate: X0:=X:fofType
% 97.51/97.75 Found x20 as proof of (cP X0)
% 97.51/97.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 97.51/97.75 Found x20:=(x2 x12):(cP X)
% 97.51/97.75 Found (x2 x12) as proof of (cP X)
% 97.51/97.75 Found (x2 x12) as proof of (cP X)
% 97.51/97.75 Found x20:=(x2 x10):(cP X)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found x20:=(x2 x3):(cP X)
% 101.07/101.30 Found (x2 x3) as proof of (cP X0)
% 101.07/101.30 Found (x2 x3) as proof of (cP X0)
% 101.07/101.30 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found x20:(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found x20 as proof of (cP X0)
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x20:=(x2 x40):(cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x20:=(x2 x10):(cP X)
% 101.07/101.30 Found (x2 x10) as proof of (cP X)
% 101.07/101.30 Found (x2 x10) as proof of (cP X)
% 101.07/101.30 Found x20:=(x2 x10):(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x20:(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found x20 as proof of (cP X0)
% 101.07/101.30 Found x20:=(x2 x11):(cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found x20:=(x2 x10):(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found (x2 x10) as proof of (cP X0)
% 101.07/101.30 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x20:(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found x20 as proof of (cP X0)
% 101.07/101.30 Found x50:=(x5 x10):(cP X0)
% 101.07/101.30 Found (x5 x10) as proof of (cP X0)
% 101.07/101.30 Found (x5 x10) as proof of (cP X0)
% 101.07/101.30 Found x20:(cP X)
% 101.07/101.30 Found x20 as proof of (cP X)
% 101.07/101.30 Found x50:=(x5 x40):(cP X0)
% 101.07/101.30 Instantiate: X:=X0:fofType
% 101.07/101.30 Found (x5 x40) as proof of (cP X)
% 101.07/101.30 Found (x5 x40) as proof of (cP X)
% 101.07/101.30 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x50:=(x5 x10):(cP X0)
% 101.07/101.30 Found (x5 x10) as proof of (cP X0)
% 101.07/101.30 Found (x5 x10) as proof of (cP X0)
% 101.07/101.30 Found x20:=(x2 x40):(cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found x20:=(x2 x40):(cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 101.07/101.30 Found x50:(cP X0)
% 101.07/101.30 Instantiate: X:=X0:fofType
% 101.07/101.30 Found x50 as proof of (cP X)
% 101.07/101.30 Found x21:(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found x21 as proof of (cP X0)
% 101.07/101.30 Found x4:(cP x3)
% 101.07/101.30 Instantiate: X:=x3:fofType
% 101.07/101.30 Found x4 as proof of (cP X)
% 101.07/101.30 Found x20:(cP X)
% 101.07/101.30 Instantiate: X0:=X:fofType
% 101.07/101.30 Found x20 as proof of (cP X0)
% 101.07/101.30 Found x20:=(x2 x11):(cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 101.07/101.30 Found x20:=(x2 x11):(cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found (x2 x11) as proof of (cP X)
% 101.07/101.30 Found x20:=(x2 x40):(cP X)
% 101.07/101.30 Found (x2 x40) as proof of (cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 102.78/103.09 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x2 x40) as proof of (cP X0)
% 102.78/103.09 Found (x2 x40) as proof of (cP X0)
% 102.78/103.09 Found (x2 x40) as proof of (cP X0)
% 102.78/103.09 Found x20:=(x2 x40):(cP X)
% 102.78/103.09 Found (x2 x40) as proof of (cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 102.78/103.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found x51:(cP X0)
% 102.78/103.09 Instantiate: X:=X0:fofType
% 102.78/103.09 Found x51 as proof of (cP X)
% 102.78/103.09 Found x21:(cP X)
% 102.78/103.09 Instantiate: X0:=X:fofType
% 102.78/103.09 Found x21 as proof of (cP X0)
% 102.78/103.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found x20:=(x2 x10):(cP X)
% 102.78/103.09 Found (x2 x10) as proof of (cP X)
% 102.78/103.09 Found (x2 x10) as proof of (cP X)
% 102.78/103.09 Found x20:=(x2 x10):(cP X)
% 102.78/103.09 Instantiate: X0:=X:fofType
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found (x2 x10) as proof of (cP X0)
% 102.78/103.09 Found x50:=(x5 x10):(cP X0)
% 102.78/103.09 Found (x5 x10) as proof of (cP X0)
% 102.78/103.09 Found (x5 x10) as proof of (cP X0)
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x20:(cP X)
% 102.78/103.09 Instantiate: X0:=X:fofType
% 102.78/103.09 Found x20 as proof of (cP X0)
% 102.78/103.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 102.78/103.09 Found x20:(cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 102.78/103.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 102.78/103.09 Found x20:=(x2 x12):(cP X)
% 102.78/103.09 Found (x2 x12) as proof of (cP X)
% 102.78/103.09 Found (x2 x12) as proof of (cP X)
% 102.78/103.09 Found x20:=(x2 x12):(cP X)
% 103.37/103.60 Found (x2 x12) as proof of (cP X)
% 103.37/103.60 Found (x2 x12) as proof of (cP X)
% 103.37/103.60 Found x20:=(x2 x10):(cP X)
% 103.37/103.60 Found (x2 x10) as proof of (cP X)
% 103.37/103.60 Found (x2 x10) as proof of (cP X)
% 103.37/103.60 Found x20:=(x2 x11):(cP X)
% 103.37/103.60 Instantiate: X0:=X:fofType
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x11):(cP X)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x10):(cP X)
% 103.37/103.60 Found (x2 x10) as proof of (cP X)
% 103.37/103.60 Found (x2 x10) as proof of (cP X)
% 103.37/103.60 Found x20:=(x2 x11):(cP X)
% 103.37/103.60 Instantiate: X0:=X:fofType
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x11):(cP X)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found (x2 x11) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x40):(cP X)
% 103.37/103.60 Instantiate: X0:=X:fofType
% 103.37/103.60 Found (x2 x40) as proof of (cP X0)
% 103.37/103.60 Found (x2 x40) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x41):(cP X)
% 103.37/103.60 Found (x2 x41) as proof of (cP X)
% 103.37/103.60 Found (x2 x41) as proof of (cP X)
% 103.37/103.60 Found x20:=(x2 x40):(cP X)
% 103.37/103.60 Found (x2 x40) as proof of (cP X)
% 103.37/103.60 Found (x2 x40) as proof of (cP X)
% 103.37/103.60 Found x20:=(x2 x10):(cP X)
% 103.37/103.60 Instantiate: X0:=X:fofType
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x10):(cP X)
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found x20:=(x2 x40):(cP X)
% 103.37/103.60 Found (x2 x40) as proof of (cP X)
% 103.37/103.60 Found (x2 x40) as proof of (cP X)
% 103.37/103.60 Found x40:=(x4 x10):(cP X0)
% 103.37/103.60 Instantiate: X:=X0:fofType
% 103.37/103.60 Found (x4 x10) as proof of (cP X)
% 103.37/103.60 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (cP X)
% 103.37/103.60 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 103.37/103.60 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 103.37/103.60 Found (and_rect10 (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 103.37/103.60 Found ((and_rect1 (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 103.37/103.60 Found (((fun (P:Type) (x3:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x3) x2)) (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 103.37/103.60 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found x20:=(x2 x12):(cP X)
% 103.37/103.60 Found (x2 x12) as proof of (cP X)
% 103.37/103.60 Found (x2 x12) as proof of (cP X)
% 103.37/103.60 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found x20:=(x2 x41):(cP X)
% 103.37/103.60 Instantiate: X0:=X:fofType
% 103.37/103.60 Found (x2 x41) as proof of (cP X0)
% 103.37/103.60 Found (x2 x41) as proof of (cP X0)
% 103.37/103.60 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found (x2 x10) as proof of (cP X0)
% 103.37/103.60 Found x40:=(x4 x10):(cP X0)
% 103.37/103.60 Instantiate: X:=X0:fofType
% 103.37/103.60 Found (x4 x10) as proof of (cP X)
% 103.37/103.60 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (cP X)
% 103.37/103.60 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 103.37/103.60 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 105.79/106.08 Found (and_rect10 (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 105.79/106.08 Found ((and_rect1 (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 105.79/106.08 Found (((fun (P:Type) (x3:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x3) x2)) (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 105.79/106.08 Found x20:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x20 as proof of (cP X0)
% 105.79/106.08 Found x50:(cP X0)
% 105.79/106.08 Instantiate: X:=X0:fofType
% 105.79/106.08 Found x50 as proof of (cP X)
% 105.79/106.08 Found x4:(cP x3)
% 105.79/106.08 Instantiate: X:=x3:fofType
% 105.79/106.08 Found x4 as proof of (cP X)
% 105.79/106.08 Found x4:(cP x3)
% 105.79/106.08 Instantiate: X:=x3:fofType
% 105.79/106.08 Found x4 as proof of (cP X)
% 105.79/106.08 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x21:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x21 as proof of (cP X0)
% 105.79/106.08 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x20:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x20 as proof of (cP X0)
% 105.79/106.08 Found x20:=(x2 x10):(cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found x21:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x21 as proof of (cP X0)
% 105.79/106.08 Found x20:=(x2 x10):(cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found x20:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x20 as proof of (cP X0)
% 105.79/106.08 Found x20:=(x2 x10):(cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found (x2 x10) as proof of (cP X)
% 105.79/106.08 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found (x2 x10) as proof of (cP X0)
% 105.79/106.08 Found (x2 x10) as proof of (cP X0)
% 105.79/106.08 Found (x2 x10) as proof of (cP X0)
% 105.79/106.08 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x20:=(x2 x10):(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found (x2 x10) as proof of (cP X0)
% 105.79/106.08 Found (x2 x10) as proof of (cP X0)
% 105.79/106.08 Found x21:(cP X)
% 105.79/106.08 Instantiate: X0:=X:fofType
% 105.79/106.08 Found x21 as proof of (cP X0)
% 105.79/106.08 Found x20:=(x2 x11):(cP X)
% 105.79/106.08 Found (x2 x11) as proof of (cP X)
% 105.79/106.08 Found (x2 x11) as proof of (cP X)
% 105.79/106.08 Found x20:=(x2 x3):(cP X)
% 105.79/106.08 Found (x2 x3) as proof of (cP X0)
% 105.79/106.08 Found (x2 x3) as proof of (cP X0)
% 105.79/106.08 Found x20:=(x2 x3):(cP X)
% 105.79/106.08 Found (x2 x3) as proof of (cP X0)
% 105.79/106.08 Found (x2 x3) as proof of (cP X0)
% 105.79/106.08 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x20:=(x2 x3):(cP X)
% 105.79/106.08 Instantiate: X:=X0:fofType
% 105.79/106.08 Found (x2 x3) as proof of (cP X0)
% 105.79/106.08 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 105.79/106.08 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 105.79/106.08 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 105.79/106.08 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 105.79/106.08 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 105.79/106.08 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 105.79/106.08 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 105.79/106.08 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x20:=(x2 x11):(cP X)
% 108.08/108.31 Found (x2 x11) as proof of (cP X)
% 108.08/108.31 Found (x2 x11) as proof of (cP X)
% 108.08/108.31 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x20:=(x2 x3):(cP X)
% 108.08/108.31 Instantiate: X:=X0:fofType
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 108.08/108.31 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 108.08/108.31 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 108.08/108.31 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 108.08/108.31 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 108.08/108.31 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 108.08/108.31 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 108.08/108.31 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x2 x11) as proof of (cP X0)
% 108.08/108.31 Found (x2 x11) as proof of (cP X0)
% 108.08/108.31 Found (x2 x11) as proof of (cP X0)
% 108.08/108.31 Found x21:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x21 as proof of (cP X0)
% 108.08/108.31 Found x21:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x21 as proof of (cP X0)
% 108.08/108.31 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found x20:=(x2 x3):(cP X)
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found x20:=(x2 x3):(cP X)
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found x20:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x20 as proof of (cP X0)
% 108.08/108.31 Found x20:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x20 as proof of (cP X0)
% 108.08/108.31 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 108.08/108.31 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found (x2 x3) as proof of (cP X0)
% 108.08/108.31 Found x21:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x21 as proof of (cP X0)
% 108.08/108.31 Found x20:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x20 as proof of (cP X0)
% 108.08/108.31 Found x20:=(x2 x10):(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found (x2 x10) as proof of (cP X0)
% 108.08/108.31 Found x50:=(x5 x40):(cP X0)
% 108.08/108.31 Instantiate: X:=X0:fofType
% 108.08/108.31 Found (x5 x40) as proof of (cP X)
% 108.08/108.31 Found (x5 x40) as proof of (cP X)
% 108.08/108.31 Found x50:=(x5 x10):(cP X0)
% 108.08/108.31 Found (x5 x10) as proof of (cP X0)
% 108.08/108.31 Found (x5 x10) as proof of (cP X0)
% 108.08/108.31 Found x50:=(x5 x10):(cP X0)
% 108.08/108.31 Found (x5 x10) as proof of (cP X0)
% 108.08/108.31 Found (x5 x10) as proof of (cP X0)
% 108.08/108.31 Found x50:=(x5 x40):(cP X0)
% 108.08/108.31 Instantiate: X:=X0:fofType
% 108.08/108.31 Found (x5 x40) as proof of (cP X)
% 108.08/108.31 Found (x5 x40) as proof of (cP X)
% 108.08/108.31 Found x20:=(x2 x40):(cP X)
% 108.08/108.31 Found (x2 x40) as proof of (cP X)
% 108.08/108.31 Found (x2 x40) as proof of (cP X)
% 108.08/108.31 Found x20:=(x2 x40):(cP X)
% 108.08/108.31 Found (x2 x40) as proof of (cP X)
% 108.08/108.31 Found (x2 x40) as proof of (cP X)
% 108.08/108.31 Found x50:(cP X0)
% 108.08/108.31 Instantiate: X:=X0:fofType
% 108.08/108.31 Found x50 as proof of (cP X)
% 108.08/108.31 Found x20:(cP X)
% 108.08/108.31 Instantiate: X0:=X:fofType
% 108.08/108.31 Found x20 as proof of (cP X0)
% 108.08/108.31 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 108.08/108.31 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x20:(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found x20 as proof of (cP X0)
% 109.78/110.04 Found x20:(cP X)
% 109.78/110.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 109.78/110.04 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 109.78/110.04 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 109.78/110.04 Found x21:(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found x21 as proof of (cP X0)
% 109.78/110.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 109.78/110.04 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 109.78/110.04 Found x50:(cP X0)
% 109.78/110.04 Instantiate: X:=X0:fofType
% 109.78/110.04 Found x50 as proof of (cP X)
% 109.78/110.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x20:=(x2 x40):(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found (x2 x40) as proof of (cP X0)
% 109.78/110.04 Found (x2 x40) as proof of (cP X0)
% 109.78/110.04 Found x20:=(x2 x40):(cP X)
% 109.78/110.04 Found (x2 x40) as proof of (cP X)
% 109.78/110.04 Found (x2 x40) as proof of (cP X)
% 109.78/110.04 Found x51:(cP X0)
% 109.78/110.04 Instantiate: X:=X0:fofType
% 109.78/110.04 Found x51 as proof of (cP X)
% 109.78/110.04 Found x5:(cP x4)
% 109.78/110.04 Instantiate: X0:=x4:fofType
% 109.78/110.04 Found x5 as proof of (cP X0)
% 109.78/110.04 Found x21:(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found x21 as proof of (cP X0)
% 109.78/110.04 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (x2 x40) as proof of (cP X0)
% 109.78/110.04 Found (x2 x40) as proof of (cP X0)
% 109.78/110.04 Found (x2 x40) as proof of (cP X0)
% 109.78/110.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found x20:=(x2 x10):(cP X)
% 109.78/110.04 Found (x2 x10) as proof of (cP X)
% 109.78/110.04 Found (x2 x10) as proof of (cP X)
% 109.78/110.04 Found x20:=(x2 x11):(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found (x2 x11) as proof of (cP X0)
% 109.78/110.04 Found (x2 x11) as proof of (cP X0)
% 109.78/110.04 Found x20:=(x2 x11):(cP X)
% 109.78/110.04 Found (x2 x11) as proof of (cP X0)
% 109.78/110.04 Found (x2 x11) as proof of (cP X0)
% 109.78/110.04 Found (x2 x11) as proof of (cP X0)
% 109.78/110.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found (x2 x10) as proof of (cP X0)
% 109.78/110.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found x20:=(x2 x11):(cP X)
% 109.78/110.04 Found (x2 x11) as proof of (cP X)
% 109.78/110.04 Found (x2 x11) as proof of (cP X)
% 109.78/110.04 Found x4:(cP x3)
% 109.78/110.04 Instantiate: X:=x3:fofType
% 109.78/110.04 Found x4 as proof of (cP X)
% 109.78/110.04 Found x20:(cP X)
% 109.78/110.04 Instantiate: X0:=X:fofType
% 109.78/110.04 Found x20 as proof of (cP X0)
% 109.78/110.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 109.78/110.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 109.78/110.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 111.77/112.04 Found x20:=(x2 x10):(cP X)
% 111.77/112.04 Found (x2 x10) as proof of (cP X)
% 111.77/112.04 Found (x2 x10) as proof of (cP X)
% 111.77/112.04 Found x20:(cP X)
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 111.77/112.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 111.77/112.04 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 111.77/112.04 Found x20:=(x2 x10):(cP X)
% 111.77/112.04 Found (x2 x10) as proof of (cP X)
% 111.77/112.04 Found (x2 x10) as proof of (cP X)
% 111.77/112.04 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x20:=(x2 x3):(cP X)
% 111.77/112.04 Instantiate: X:=X0:fofType
% 111.77/112.04 Found (x2 x3) as proof of (cP X0)
% 111.77/112.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 111.77/112.04 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x20:(cP X)
% 111.77/112.04 Instantiate: X0:=X:fofType
% 111.77/112.04 Found x20 as proof of (cP X0)
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x20:=(x2 x10):(cP X)
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found (x2 x10) as proof of (cP X0)
% 111.77/112.04 Found x6:(cP x5)
% 111.77/112.04 Instantiate: X0:=x5:fofType
% 111.77/112.04 Found x6 as proof of (cP X0)
% 111.77/112.04 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found (x2 x11) as proof of (cP X0)
% 111.77/112.04 Found x20:=(x2 x40):(cP X)
% 113.67/113.91 Found (x2 x40) as proof of (cP X)
% 113.67/113.91 Found (x2 x40) as proof of (cP X)
% 113.67/113.91 Found x6:(cP x5)
% 113.67/113.91 Instantiate: X0:=x5:fofType
% 113.67/113.91 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found (x2 x10) as proof of (cP X0)
% 113.67/113.91 Found (x2 x10) as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x20:(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found x20 as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found (x2 x11) as proof of (cP X0)
% 113.67/113.91 Found (x2 x11) as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found (x2 x10) as proof of (cP X0)
% 113.67/113.91 Found (x2 x10) as proof of (cP X0)
% 113.67/113.91 Found x20:(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found x20 as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Instantiate: X0:=X:fofType
% 113.67/113.91 Found (x2 x11) as proof of (cP X0)
% 113.67/113.91 Found (x2 x11) as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found (x2 x11) as proof of (cP X)
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 113.67/113.91 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 113.67/113.91 Found x20:=(x2 x11):(cP X)
% 113.67/113.91 Instantiate: x3:=X:fofType
% 113.67/113.91 Found (x2 x11) as proof of (cP x3)
% 113.67/113.91 Found (x2 x11) as proof of (cP x3)
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP x3)
% 113.67/113.91 Found (x2 x10) as proof of (cP x3)
% 113.67/113.91 Found (x2 x10) as proof of (cP x3)
% 113.67/113.91 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x4:(cP x3)
% 113.67/113.91 Instantiate: X0:=x3:fofType
% 113.67/113.91 Found x4 as proof of (cP X0)
% 113.67/113.91 Found x20:=(x2 x3):(cP X)
% 113.67/113.91 Instantiate: X:=X0:fofType
% 113.67/113.91 Found (x2 x3) as proof of (cP X0)
% 113.67/113.91 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 113.67/113.91 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 113.67/113.91 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 113.67/113.91 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found x4:(cP x3)
% 113.67/113.91 Instantiate: X:=x3:fofType
% 113.67/113.91 Found x4 as proof of (cP X)
% 113.67/113.91 Found x20:=(x2 x3):(cP X)
% 113.67/113.91 Instantiate: X:=X0:fofType
% 113.67/113.91 Found (x2 x3) as proof of (cP X0)
% 113.67/113.91 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 113.67/113.91 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 113.67/113.91 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 113.67/113.91 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 113.67/113.91 Found x4:(cP x3)
% 113.67/113.91 Instantiate: X:=x3:fofType
% 113.67/113.91 Found x4 as proof of (cP X)
% 113.67/113.91 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 113.67/113.91 Found x20:=(x2 x10):(cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 113.67/113.91 Found (x2 x10) as proof of (cP X)
% 116.17/116.46 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x20:=(x2 x3):(cP X)
% 116.17/116.46 Instantiate: X:=X0:fofType
% 116.17/116.46 Found (x2 x3) as proof of (cP X0)
% 116.17/116.46 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 116.17/116.46 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found x20:=(x2 x3):(cP X)
% 116.17/116.46 Instantiate: X:=X0:fofType
% 116.17/116.46 Found (x2 x3) as proof of (cP X0)
% 116.17/116.46 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 116.17/116.46 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 116.17/116.46 Found x20:=(x2 x10):(cP X)
% 116.17/116.46 Found (x2 x10) as proof of (cP X)
% 116.17/116.46 Found (x2 x10) as proof of (cP X)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x20:=(x2 x10):(cP X)
% 116.17/116.46 Found (x2 x10) as proof of (cP X)
% 116.17/116.46 Found (x2 x10) as proof of (cP X)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x20:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x20 as proof of (cP X0)
% 116.17/116.46 Found x20:=(x2 x11):(cP X)
% 116.17/116.46 Found (x2 x11) as proof of (cP X)
% 116.17/116.46 Found (x2 x11) as proof of (cP X)
% 116.17/116.46 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x20:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x20 as proof of (cP X0)
% 116.17/116.46 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x20:=(x2 x12):(cP X)
% 116.17/116.46 Found (x2 x12) as proof of (cP X)
% 116.17/116.46 Found (x2 x12) as proof of (cP X)
% 116.17/116.46 Found x21:(cP X)
% 116.17/116.46 Instantiate: X0:=X:fofType
% 116.17/116.46 Found x21 as proof of (cP X0)
% 116.17/116.46 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x2 x10) as proof of (cP X0)
% 116.17/116.46 Found (x2 x10) as proof of (cP X0)
% 116.17/116.46 Found (x2 x10) as proof of (cP X0)
% 116.17/116.46 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 116.17/116.46 Found x20:=(x2 x3):(cP X)
% 116.17/116.46 Instantiate: X:=X0:fofType
% 116.17/116.46 Found (x2 x3) as proof of (cP X0)
% 116.17/116.46 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 116.17/116.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 116.17/116.46 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found x20:=(x2 x3):(cP X)
% 117.16/117.43 Instantiate: X:=X0:fofType
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 117.16/117.43 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found x20:=(x2 x11):(cP X)
% 117.16/117.43 Found (x2 x11) as proof of (cP X)
% 117.16/117.43 Found (x2 x11) as proof of (cP X)
% 117.16/117.43 Found x20:=(x2 x12):(cP X)
% 117.16/117.43 Found (x2 x12) as proof of (cP X)
% 117.16/117.43 Found (x2 x12) as proof of (cP X)
% 117.16/117.43 Found x20:=(x2 x3):(cP X)
% 117.16/117.43 Instantiate: X:=X0:fofType
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 117.16/117.43 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found x20:=(x2 x3):(cP X)
% 117.16/117.43 Instantiate: X:=X0:fofType
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 117.16/117.43 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 117.16/117.43 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 117.16/117.43 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 117.16/117.43 Found x20:=(x2 x12):(cP X)
% 117.16/117.43 Found (x2 x12) as proof of (cP X)
% 117.16/117.43 Found (x2 x12) as proof of (cP X)
% 117.16/117.43 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found (x2 x3) as proof of (cP X0)
% 117.16/117.43 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 119.57/119.85 Found x50:(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found x50 as proof of (cP X)
% 119.57/119.85 Found x20:(cP X)
% 119.57/119.85 Instantiate: X0:=X:fofType
% 119.57/119.85 Found x20 as proof of (cP X0)
% 119.57/119.85 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 119.57/119.85 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x10) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 119.57/119.85 Found x20:(cP X)
% 119.57/119.85 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (cP X)
% 119.57/119.85 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 119.57/119.85 Found (fun (x4:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x20) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 119.57/119.85 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x50:(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found x50 as proof of (cP X)
% 119.57/119.85 Found x20:(cP X)
% 119.57/119.85 Instantiate: X0:=X:fofType
% 119.57/119.85 Found x20 as proof of (cP X0)
% 119.57/119.85 Found x50:(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found x50 as proof of (cP X)
% 119.57/119.85 Found x20:(cP X)
% 119.57/119.85 Instantiate: X0:=X:fofType
% 119.57/119.85 Found x20 as proof of (cP X0)
% 119.57/119.85 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x40:=(x4 x30):(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found (x4 x30) as proof of (cP X)
% 119.57/119.85 Found (x4 x30) as proof of (cP X)
% 119.57/119.85 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x51:(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found x51 as proof of (cP X)
% 119.57/119.85 Found x21:(cP X)
% 119.57/119.85 Instantiate: X0:=X:fofType
% 119.57/119.85 Found x21 as proof of (cP X0)
% 119.57/119.85 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 119.57/119.85 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 119.57/119.85 Found x20:=(x2 x10):(cP X)
% 119.57/119.85 Found (x2 x10) as proof of (cP X)
% 119.57/119.85 Found (x2 x10) as proof of (cP X)
% 119.57/119.85 Found x20:=(x2 x3):(cP X)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found (x2 x3) as proof of (cP X0)
% 119.57/119.85 Found x21:(cP X)
% 119.57/119.85 Instantiate: X0:=X:fofType
% 119.57/119.85 Found x21 as proof of (cP X0)
% 119.57/119.85 Found x51:(cP X0)
% 119.57/119.85 Instantiate: X:=X0:fofType
% 119.57/119.85 Found x51 as proof of (cP X)
% 119.57/119.85 Found x10:=(x1 x23):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 119.57/119.85 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x20:(cP X)
% 121.28/121.53 Found x20 as proof of (cP X)
% 121.28/121.53 Found x20:(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found x20 as proof of (cP X0)
% 121.28/121.53 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x20:=(x2 x3):(cP X)
% 121.28/121.53 Found (x2 x3) as proof of (cP X)
% 121.28/121.53 Found (x2 x3) as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Instantiate: X:=X0:fofType
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x3):(cP X)
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x13):(cP X)
% 121.28/121.53 Found (x2 x13) as proof of (cP X)
% 121.28/121.53 Found (x2 x13) as proof of (cP X)
% 121.28/121.53 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x4:(cP x3)
% 121.28/121.53 Instantiate: X:=x3:fofType
% 121.28/121.53 Found x4 as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x11):(cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found x4:(cP x3)
% 121.28/121.53 Instantiate: X:=x3:fofType
% 121.28/121.53 Found x4 as proof of (cP X)
% 121.28/121.53 Found x4:(cP x3)
% 121.28/121.53 Instantiate: X:=x3:fofType
% 121.28/121.53 Found x4 as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x11):(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x11):(cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x11):(cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found (x2 x11) as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x11):(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found x50:=(x5 x10):(cP X0)
% 121.28/121.53 Found (x5 x10) as proof of (cP X0)
% 121.28/121.53 Found (x5 x10) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x3):(cP X)
% 121.28/121.53 Instantiate: X:=X0:fofType
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x3):(cP X)
% 121.28/121.53 Instantiate: X:=X0:fofType
% 121.28/121.53 Found (x2 x3) as proof of (cP X0)
% 121.28/121.53 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found (x2 x11) as proof of (cP X0)
% 121.28/121.53 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found x4:(cP x3)
% 121.28/121.53 Instantiate: X:=x3:fofType
% 121.28/121.53 Found x4 as proof of (cP X)
% 121.28/121.53 Found x20:(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found x20 as proof of (cP X0)
% 121.28/121.53 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Instantiate: X0:=X:fofType
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found (x2 x10) as proof of (cP X0)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found (x2 x10) as proof of (cP X)
% 121.28/121.53 Found x4:(cP x3)
% 121.28/121.53 Instantiate: X:=x3:fofType
% 121.28/121.53 Found x4 as proof of (cP X)
% 121.28/121.53 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found x20 as proof of (cP X0)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found x20 as proof of (cP X0)
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X0)
% 124.05/124.36 Found (x2 x10) as proof of (cP X0)
% 124.05/124.36 Found (x2 x10) as proof of (cP X0)
% 124.05/124.36 Found x50:=(x5 x40):(cP X0)
% 124.05/124.36 Instantiate: X:=X0:fofType
% 124.05/124.36 Found (x5 x40) as proof of (cP X)
% 124.05/124.36 Found (x5 x40) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x40):(cP X)
% 124.05/124.36 Found (x2 x40) as proof of (cP X)
% 124.05/124.36 Found (x2 x40) as proof of (cP X)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found (x2 x10) as proof of (cP X0)
% 124.05/124.36 Found (x2 x10) as proof of (cP X0)
% 124.05/124.36 Found x50:=(x5 x10):(cP X0)
% 124.05/124.36 Found (x5 x10) as proof of (cP X0)
% 124.05/124.36 Found (x5 x10) as proof of (cP X0)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:=(x2 x3):(cP X)
% 124.05/124.36 Instantiate: X:=X0:fofType
% 124.05/124.36 Found (x2 x3) as proof of (cP X0)
% 124.05/124.36 Found x20:=(x2 x3):(cP X)
% 124.05/124.36 Instantiate: X:=X0:fofType
% 124.05/124.36 Found (x2 x3) as proof of (cP X0)
% 124.05/124.36 Found x21:(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found x21 as proof of (cP X0)
% 124.05/124.36 Found x21:(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found x21 as proof of (cP X0)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:=(x2 x12):(cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x10):(cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found (x2 x10) as proof of (cP X)
% 124.05/124.36 Found x20:=(x2 x12):(cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found x21:(cP X)
% 124.05/124.36 Instantiate: X0:=X:fofType
% 124.05/124.36 Found x21 as proof of (cP X0)
% 124.05/124.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found x20:=(x2 x12):(cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found (x2 x12) as proof of (cP X)
% 124.05/124.36 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 124.05/124.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 124.05/124.36 Found x20:=(x2 x3):(cP X)
% 124.05/124.36 Instantiate: X:=X0:fofType
% 124.05/124.36 Found (x2 x3) as proof of (cP X0)
% 124.05/124.36 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 124.05/124.36 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 124.05/124.36 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 124.05/124.36 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.06/127.29 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.06/127.29 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.06/127.29 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 127.06/127.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x20:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x20 as proof of (cP X0)
% 127.06/127.29 Found x21:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x21 as proof of (cP X0)
% 127.06/127.29 Found x21:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x21 as proof of (cP X0)
% 127.06/127.29 Found x20:=(x2 x10):(cP X)
% 127.06/127.29 Found (x2 x10) as proof of (cP X)
% 127.06/127.29 Found (x2 x10) as proof of (cP X)
% 127.06/127.29 Found x40:=(x4 x30):(cP X0)
% 127.06/127.29 Instantiate: X:=X0:fofType
% 127.06/127.29 Found (x4 x30) as proof of (cP X)
% 127.06/127.29 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 127.06/127.29 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 127.06/127.29 Found x7:(cP x6)
% 127.06/127.29 Instantiate: X0:=x6:fofType
% 127.06/127.29 Found x7 as proof of (cP X0)
% 127.06/127.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x50:(cP X0)
% 127.06/127.29 Instantiate: X:=X0:fofType
% 127.06/127.29 Found x50 as proof of (cP X)
% 127.06/127.29 Found x20:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x20 as proof of (cP X0)
% 127.06/127.29 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x20:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x20 as proof of (cP X0)
% 127.06/127.29 Found x20:=(x2 x10):(cP X)
% 127.06/127.29 Found (x2 x10) as proof of (cP X)
% 127.06/127.29 Found (x2 x10) as proof of (cP X)
% 127.06/127.29 Found x7:(cP x6)
% 127.06/127.29 Instantiate: X:=x6:fofType
% 127.06/127.29 Found x7 as proof of (cP X)
% 127.06/127.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x21:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x21 as proof of (cP X0)
% 127.06/127.29 Found x21:(cP X)
% 127.06/127.29 Instantiate: X0:=X:fofType
% 127.06/127.29 Found x21 as proof of (cP X0)
% 127.06/127.29 Found x5:(cP x4)
% 127.06/127.29 Instantiate: X0:=x4:fofType
% 127.06/127.29 Found x5 as proof of (cP X0)
% 127.06/127.29 Found x20:=(x2 x13):(cP X)
% 127.06/127.29 Found (x2 x13) as proof of (cP X)
% 127.06/127.29 Found (x2 x13) as proof of (cP X)
% 127.06/127.29 Found x20:=(x2 x11):(cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.06/127.29 Found x20:=(x2 x11):(cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found x20:=(x2 x11):(cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found (x2 x11) as proof of (cP X)
% 127.06/127.29 Found x20:=(x2 x3):(cP X)
% 127.06/127.29 Instantiate: X:=X0:fofType
% 127.06/127.29 Found (x2 x3) as proof of (cP X0)
% 127.06/127.29 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 127.06/127.29 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 127.06/127.29 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 127.77/128.07 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.77/128.07 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.77/128.07 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 127.77/128.07 Found x20:=(x2 x10):(cP X)
% 127.77/128.07 Found (x2 x10) as proof of (cP X)
% 127.77/128.07 Found (x2 x10) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x11):(cP X)
% 127.77/128.07 Found (x2 x11) as proof of (cP X)
% 127.77/128.07 Found (x2 x11) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x10):(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found (x2 x10) as proof of (cP X0)
% 127.77/128.07 Found (x2 x10) as proof of (cP X0)
% 127.77/128.07 Found x20:=(x2 x10):(cP X)
% 127.77/128.07 Found (x2 x10) as proof of (cP X)
% 127.77/128.07 Found (x2 x10) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x40):(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found (x2 x40) as proof of (cP X0)
% 127.77/128.07 Found (x2 x40) as proof of (cP X0)
% 127.77/128.07 Found x50:=(x5 x40):(cP X0)
% 127.77/128.07 Found (x5 x40) as proof of (cP X0)
% 127.77/128.07 Found (x5 x40) as proof of (cP X0)
% 127.77/128.07 Found x20:=(x2 x11):(cP X)
% 127.77/128.07 Found (x2 x11) as proof of (cP X)
% 127.77/128.07 Found (x2 x11) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x10):(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found (x2 x10) as proof of (cP X0)
% 127.77/128.07 Found (x2 x10) as proof of (cP X0)
% 127.77/128.07 Found x20:=(x2 x41):(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found (x2 x41) as proof of (cP X0)
% 127.77/128.07 Found (x2 x41) as proof of (cP X0)
% 127.77/128.07 Found x50:=(x5 x41):(cP X0)
% 127.77/128.07 Found (x5 x41) as proof of (cP X0)
% 127.77/128.07 Found (x5 x41) as proof of (cP X0)
% 127.77/128.07 Found x50:=(x5 x41):(cP X0)
% 127.77/128.07 Instantiate: X:=X0:fofType
% 127.77/128.07 Found (x5 x41) as proof of (cP X)
% 127.77/128.07 Found (x5 x41) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x41):(cP X)
% 127.77/128.07 Found (x2 x41) as proof of (cP X)
% 127.77/128.07 Found (x2 x41) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x40):(cP X)
% 127.77/128.07 Found (x2 x40) as proof of (cP X)
% 127.77/128.07 Found (x2 x40) as proof of (cP X)
% 127.77/128.07 Found x20:=(x2 x11):(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found (x2 x11) as proof of (cP X0)
% 127.77/128.07 Found (x2 x11) as proof of (cP X0)
% 127.77/128.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found x20:=(x2 x3):(cP X)
% 127.77/128.07 Found (x2 x3) as proof of (cP X0)
% 127.77/128.07 Found (x2 x3) as proof of (cP X0)
% 127.77/128.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found x4:(cP x3)
% 127.77/128.07 Instantiate: X:=x3:fofType
% 127.77/128.07 Found x4 as proof of (cP X)
% 127.77/128.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found x4:(cP x3)
% 127.77/128.07 Instantiate: X:=x3:fofType
% 127.77/128.07 Found x4 as proof of (cP X)
% 127.77/128.07 Found x50:(cP X0)
% 127.77/128.07 Instantiate: X:=X0:fofType
% 127.77/128.07 Found x50 as proof of (cP X)
% 127.77/128.07 Found x4:(cP x3)
% 127.77/128.07 Instantiate: X:=x3:fofType
% 127.77/128.07 Found x4 as proof of (cP X)
% 127.77/128.07 Found x20:(cP X)
% 127.77/128.07 Instantiate: X0:=X:fofType
% 127.77/128.07 Found x20 as proof of (cP X0)
% 127.77/128.07 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 127.77/128.07 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 127.77/128.07 Found x20:(cP X)
% 127.77/128.07 Found x20 as proof of (cP X0)
% 127.77/128.07 Found x20:(cP X)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found x20 as proof of (cP X0)
% 129.28/129.59 Found x50:=(x5 x11):(cP X0)
% 129.28/129.59 Found (x5 x11) as proof of (cP X0)
% 129.28/129.59 Found (x5 x11) as proof of (cP X0)
% 129.28/129.59 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x50:=(x5 x10):(cP X0)
% 129.28/129.59 Found (x5 x10) as proof of (cP X0)
% 129.28/129.59 Found (x5 x10) as proof of (cP X0)
% 129.28/129.59 Found x50:(cP X0)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found x50 as proof of (cP X)
% 129.28/129.59 Found x20:(cP X)
% 129.28/129.59 Instantiate: X0:=X:fofType
% 129.28/129.59 Found x20 as proof of (cP X0)
% 129.28/129.59 Found x20:=(x2 x10):(cP X)
% 129.28/129.59 Found (x2 x10) as proof of (cP X)
% 129.28/129.59 Found (x2 x10) as proof of (cP X)
% 129.28/129.59 Found x20:=(x2 x10):(cP X)
% 129.28/129.59 Instantiate: X0:=X:fofType
% 129.28/129.59 Found (x2 x10) as proof of (cP X0)
% 129.28/129.59 Found (x2 x10) as proof of (cP X0)
% 129.28/129.59 Found x50:=(x5 x10):(cP X0)
% 129.28/129.59 Found (x5 x10) as proof of (cP X0)
% 129.28/129.59 Found (x5 x10) as proof of (cP X0)
% 129.28/129.59 Found x50:=(x5 x11):(cP X0)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found (x5 x11) as proof of (cP X)
% 129.28/129.59 Found (x5 x11) as proof of (cP X)
% 129.28/129.59 Found x20:=(x2 x11):(cP X)
% 129.28/129.59 Found (x2 x11) as proof of (cP X)
% 129.28/129.59 Found (x2 x11) as proof of (cP X)
% 129.28/129.59 Found x50:=(x5 x41):(cP X0)
% 129.28/129.59 Found (x5 x41) as proof of (cP X0)
% 129.28/129.59 Found (x5 x41) as proof of (cP X0)
% 129.28/129.59 Found x50:=(x5 x40):(cP X0)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found (x5 x40) as proof of (cP X)
% 129.28/129.59 Found (x5 x40) as proof of (cP X)
% 129.28/129.59 Found x20:=(x2 x40):(cP X)
% 129.28/129.59 Found (x2 x40) as proof of (cP X)
% 129.28/129.59 Found (x2 x40) as proof of (cP X)
% 129.28/129.59 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x20:=(x2 x10):(cP X)
% 129.28/129.59 Found (x2 x10) as proof of (cP X)
% 129.28/129.59 Found (x2 x10) as proof of (cP X)
% 129.28/129.59 Found x20:=(x2 x40):(cP X)
% 129.28/129.59 Instantiate: X0:=X:fofType
% 129.28/129.59 Found (x2 x40) as proof of (cP X0)
% 129.28/129.59 Found (x2 x40) as proof of (cP X0)
% 129.28/129.59 Found x50:=(x5 x41):(cP X0)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found (x5 x41) as proof of (cP X)
% 129.28/129.59 Found (x5 x41) as proof of (cP X)
% 129.28/129.59 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x20:=(x2 x41):(cP X)
% 129.28/129.59 Found (x2 x41) as proof of (cP X)
% 129.28/129.59 Found (x2 x41) as proof of (cP X)
% 129.28/129.59 Found x50:=(x5 x40):(cP X0)
% 129.28/129.59 Found (x5 x40) as proof of (cP X0)
% 129.28/129.59 Found (x5 x40) as proof of (cP X0)
% 129.28/129.59 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 129.28/129.59 Found x20:=(x2 x3):(cP X)
% 129.28/129.59 Instantiate: X:=X0:fofType
% 129.28/129.59 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found (x2 x11) as proof of (cP X0)
% 132.05/132.33 Found (x2 x11) as proof of (cP X0)
% 132.05/132.33 Found (x2 x11) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X)
% 132.05/132.33 Found x20:=(x2 x10):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 132.05/132.33 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 132.05/132.33 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 132.05/132.33 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 132.05/132.33 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 132.05/132.33 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 132.05/132.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x20:(cP X)
% 132.05/132.33 Instantiate: X0:=X:fofType
% 132.05/132.33 Found x20 as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x40):(cP X)
% 132.05/132.33 Found (x2 x40) as proof of (cP X)
% 132.05/132.33 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 132.05/132.33 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X)
% 132.05/132.33 Found x20:=(x2 x10):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x10):(cP X)
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found (x2 x10) as proof of (cP X0)
% 132.05/132.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x6:(cP x5)
% 132.05/132.33 Instantiate: X0:=x5:fofType
% 132.05/132.33 Found x6 as proof of (cP X0)
% 132.05/132.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x20:=(x2 x3):(cP X)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found (x2 x3) as proof of (cP X0)
% 132.05/132.33 Found x20:(cP X)
% 132.05/132.33 Instantiate: X0:=X:fofType
% 132.05/132.33 Found x20 as proof of (cP X0)
% 132.05/132.33 Found x20:(cP X)
% 132.05/132.33 Found x20 as proof of (cP X)
% 132.05/132.33 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x20:(cP X)
% 132.05/132.33 Found x20 as proof of (cP X)
% 132.05/132.33 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x50:(cP X0)
% 132.05/132.33 Found x50 as proof of (cP X0)
% 132.05/132.33 Found x50:(cP X0)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found x50 as proof of (cP X)
% 132.05/132.33 Found x20:(cP X)
% 132.05/132.33 Instantiate: X0:=X:fofType
% 132.05/132.33 Found x20 as proof of (cP X0)
% 132.05/132.33 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 132.05/132.33 Found x51:(cP X0)
% 132.05/132.33 Instantiate: X:=X0:fofType
% 132.05/132.33 Found x51 as proof of (cP X)
% 132.05/132.33 Found x21:(cP X)
% 132.05/132.33 Instantiate: X0:=X:fofType
% 132.05/132.33 Found x21 as proof of (cP X0)
% 132.05/132.33 Found x50:=(x5 x11):(cP X0)
% 132.05/132.33 Found (x5 x11) as proof of (cP X0)
% 132.05/132.33 Found (x5 x11) as proof of (cP X0)
% 134.06/134.35 Found x20:=(x2 x11):(cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x3):(cP X)
% 134.06/134.35 Instantiate: X:=X0:fofType
% 134.06/134.35 Found (x2 x3) as proof of (cP X0)
% 134.06/134.35 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 134.06/134.35 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 134.06/134.35 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 134.06/134.35 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 134.06/134.35 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 134.06/134.35 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 134.06/134.35 Found x20:=(x2 x3):(cP X)
% 134.06/134.35 Found (x2 x3) as proof of (cP X)
% 134.06/134.35 Found (x2 x3) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x10):(cP X)
% 134.06/134.35 Instantiate: X:=X0:fofType
% 134.06/134.35 Found (x2 x10) as proof of (cP X0)
% 134.06/134.35 Found x20:=(x2 x3):(cP X)
% 134.06/134.35 Found (x2 x3) as proof of (cP X0)
% 134.06/134.35 Found (x2 x3) as proof of (cP X0)
% 134.06/134.35 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x2 x3) as proof of (cP X0)
% 134.06/134.35 Found (x2 x3) as proof of (cP X0)
% 134.06/134.35 Found x51:(cP X0)
% 134.06/134.35 Instantiate: X:=X0:fofType
% 134.06/134.35 Found x51 as proof of (cP X)
% 134.06/134.35 Found x20:(cP X)
% 134.06/134.35 Instantiate: X0:=X:fofType
% 134.06/134.35 Found x20 as proof of (cP X0)
% 134.06/134.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x20:(cP X)
% 134.06/134.35 Instantiate: X0:=X:fofType
% 134.06/134.35 Found x20 as proof of (cP X0)
% 134.06/134.35 Found x20:=(x2 x11):(cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found x50:=(x5 x11):(cP X0)
% 134.06/134.35 Found (x5 x11) as proof of (cP X0)
% 134.06/134.35 Found (x5 x11) as proof of (cP X0)
% 134.06/134.35 Found x20:(cP X)
% 134.06/134.35 Instantiate: X0:=X:fofType
% 134.06/134.35 Found x20 as proof of (cP X0)
% 134.06/134.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x4:(cP x3)
% 134.06/134.35 Instantiate: X0:=x3:fofType
% 134.06/134.35 Found x4 as proof of (cP X0)
% 134.06/134.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x20:=(x2 x10):(cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 134.06/134.35 Found x50:=(x5 x40):(cP X0)
% 134.06/134.35 Found (x5 x40) as proof of (cP X0)
% 134.06/134.35 Found (x5 x40) as proof of (cP X0)
% 134.06/134.35 Found x50:=(x5 x11):(cP X0)
% 134.06/134.35 Found (x5 x11) as proof of (cP X0)
% 134.06/134.35 Found (x5 x11) as proof of (cP X0)
% 134.06/134.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 134.06/134.35 Found x20:=(x2 x11):(cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found (x2 x11) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x40):(cP X)
% 134.06/134.35 Found (x2 x40) as proof of (cP X)
% 134.06/134.35 Found (x2 x40) as proof of (cP X)
% 134.06/134.35 Found x50:=(x5 x40):(cP X0)
% 134.06/134.35 Instantiate: X:=X0:fofType
% 134.06/134.35 Found (x5 x40) as proof of (cP X)
% 134.06/134.35 Found (x5 x40) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x40):(cP X)
% 134.06/134.35 Found (x2 x40) as proof of (cP X)
% 134.06/134.35 Found (x2 x40) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x10):(cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 134.06/134.35 Found x20:=(x2 x10):(cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 134.06/134.35 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found x7:(cP x6)
% 136.67/136.94 Instantiate: X:=x6:fofType
% 136.67/136.94 Found x7 as proof of (cP X)
% 136.67/136.94 Found x7:(cP x6)
% 136.67/136.94 Instantiate: X0:=x6:fofType
% 136.67/136.94 Found x7 as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found (x2 x10) as proof of (cP X0)
% 136.67/136.94 Found (x2 x10) as proof of (cP X0)
% 136.67/136.94 Found x50:=(x5 x10):(cP X0)
% 136.67/136.94 Instantiate: X:=X0:fofType
% 136.67/136.94 Found (x5 x10) as proof of (cP X)
% 136.67/136.94 Found (x5 x10) as proof of (cP X)
% 136.67/136.94 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x50:=(x5 x10):(cP X0)
% 136.67/136.94 Found (x5 x10) as proof of (cP X0)
% 136.67/136.94 Found (x5 x10) as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X0)
% 136.67/136.94 Found (x2 x10) as proof of (cP X0)
% 136.67/136.94 Found (x2 x10) as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x10):(cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found (x2 x10) as proof of (cP X)
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x20:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x20 as proof of (cP X0)
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x20:=(x2 x40):(cP X)
% 136.67/136.94 Found (x2 x40) as proof of (cP X0)
% 136.67/136.94 Found (x2 x40) as proof of (cP X0)
% 136.67/136.94 Found (x2 x40) as proof of (cP X0)
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x7:(cP x6)
% 136.67/136.94 Instantiate: X0:=x6:fofType
% 136.67/136.94 Found x7 as proof of (cP X0)
% 136.67/136.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 136.67/136.94 Found x21:(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found x21 as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found (x2 x11) as proof of (cP X0)
% 136.67/136.94 Found x20:=(x2 x11):(cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found (x2 x11) as proof of (cP X)
% 136.67/136.94 Found x20:=(x2 x40):(cP X)
% 136.67/136.94 Found (x2 x40) as proof of (cP X)
% 136.67/136.94 Found (x2 x40) as proof of (cP X)
% 136.67/136.94 Found x20:=(x2 x40):(cP X)
% 136.67/136.94 Instantiate: X0:=X:fofType
% 136.67/136.94 Found (x2 x40) as proof of (cP X0)
% 138.46/138.78 Found (x2 x40) as proof of (cP X0)
% 138.46/138.78 Found x50:=(x5 x40):(cP X0)
% 138.46/138.78 Found (x5 x40) as proof of (cP X0)
% 138.46/138.78 Found (x5 x40) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x11):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:=(x2 x3):(cP X)
% 138.46/138.78 Found (x2 x3) as proof of (cP X0)
% 138.46/138.78 Found (x2 x3) as proof of (cP X0)
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Instantiate: X:=X0:fofType
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x50:(cP X0)
% 138.46/138.78 Instantiate: X:=X0:fofType
% 138.46/138.78 Found x50 as proof of (cP X)
% 138.46/138.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:=(x2 x3):(cP X)
% 138.46/138.78 Instantiate: X:=X0:fofType
% 138.46/138.78 Found (x2 x3) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x3):(cP X)
% 138.46/138.78 Instantiate: X:=X0:fofType
% 138.46/138.78 Found (x2 x3) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 138.46/138.78 Found x20:=(x2 x11):(cP X)
% 138.46/138.78 Found (x2 x11) as proof of (cP X)
% 138.46/138.78 Found (x2 x11) as proof of (cP X)
% 138.46/138.78 Found x20:=(x2 x11):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x11):(cP X)
% 138.46/138.78 Found (x2 x11) as proof of (cP X)
% 138.46/138.78 Found (x2 x11) as proof of (cP X)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x11):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found (x2 x11) as proof of (cP X0)
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found x20 as proof of (cP X0)
% 138.46/138.78 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 138.46/138.78 Found x20:(cP X)
% 138.46/138.78 Found x20 as proof of (cP X)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Instantiate: X0:=X:fofType
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found (x2 x10) as proof of (cP X0)
% 138.46/138.78 Found x20:=(x2 x10):(cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 138.46/138.78 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x20:=(x2 x3):(cP X)
% 140.24/140.57 Found (x2 x3) as proof of (cP X0)
% 140.24/140.57 Found (x2 x3) as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x3):(cP X)
% 140.24/140.57 Found (x2 x3) as proof of (cP X0)
% 140.24/140.57 Found (x2 x3) as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x10):(cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found x50:=(x5 x10):(cP X0)
% 140.24/140.57 Found (x5 x10) as proof of (cP X0)
% 140.24/140.57 Found (x5 x10) as proof of (cP X0)
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x20:=(x2 x10):(cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found x20:=(x2 x11):(cP X)
% 140.24/140.57 Instantiate: X:=X0:fofType
% 140.24/140.57 Found (x2 x11) as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x10):(cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X0)
% 140.24/140.57 Found (x2 x10) as proof of (cP X0)
% 140.24/140.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x2 x10) as proof of (cP X0)
% 140.24/140.57 Found (x2 x10) as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x11):(cP X)
% 140.24/140.57 Found (x2 x11) as proof of (cP X0)
% 140.24/140.57 Found (x2 x11) as proof of (cP X0)
% 140.24/140.57 Found (x2 x11) as proof of (cP X0)
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 140.24/140.57 Found x20:(cP X)
% 140.24/140.57 Found x20 as proof of (cP X0)
% 140.24/140.57 Found x20:(cP X)
% 140.24/140.57 Instantiate: X:=X0:fofType
% 140.24/140.57 Found x20 as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x41):(cP X)
% 140.24/140.57 Found (x2 x41) as proof of (cP X)
% 140.24/140.57 Found (x2 x41) as proof of (cP X)
% 140.24/140.57 Found x20:=(x2 x40):(cP X)
% 140.24/140.57 Instantiate: X0:=X:fofType
% 140.24/140.57 Found (x2 x40) as proof of (cP X0)
% 140.24/140.57 Found (x2 x40) as proof of (cP X0)
% 140.24/140.57 Found x50:=(x5 x10):(cP X0)
% 140.24/140.57 Found (x5 x10) as proof of (cP X0)
% 140.24/140.57 Found (x5 x10) as proof of (cP X0)
% 140.24/140.57 Found x50:=(x5 x40):(cP X0)
% 140.24/140.57 Found (x5 x40) as proof of (cP X0)
% 140.24/140.57 Found (x5 x40) as proof of (cP X0)
% 140.24/140.57 Found x20:(cP X)
% 140.24/140.57 Instantiate: X0:=X:fofType
% 140.24/140.57 Found x20 as proof of (cP X0)
% 140.24/140.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 140.24/140.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 140.24/140.57 Found x20:(cP X)
% 140.24/140.57 Found x20 as proof of (cP X0)
% 140.24/140.57 Found x20:(cP X)
% 140.24/140.57 Instantiate: X:=X0:fofType
% 140.24/140.57 Found x20 as proof of (cP X0)
% 140.24/140.57 Found x20:=(x2 x10):(cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found (x2 x10) as proof of (cP X)
% 140.24/140.57 Found x50:=(x5 x11):(cP X0)
% 140.24/140.57 Instantiate: X:=X0:fofType
% 140.24/140.57 Found (x5 x11) as proof of (cP X)
% 140.24/140.57 Found (x5 x11) as proof of (cP X)
% 140.24/140.57 Found x20:=(x2 x11):(cP X)
% 140.24/140.57 Found (x2 x11) as proof of (cP X)
% 140.24/140.57 Found (x2 x11) as proof of (cP X)
% 140.24/140.57 Found x20:=(x2 x40):(cP X)
% 140.24/140.57 Found (x2 x40) as proof of (cP X)
% 140.24/140.57 Found (x2 x40) as proof of (cP X)
% 140.24/140.57 Found x20:=(x2 x10):(cP X)
% 140.24/140.57 Instantiate: X0:=X:fofType
% 140.24/140.57 Found (x2 x10) as proof of (cP X0)
% 141.36/141.66 Found (x2 x10) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x41):(cP X)
% 141.36/141.66 Instantiate: X0:=X:fofType
% 141.36/141.66 Found (x2 x41) as proof of (cP X0)
% 141.36/141.66 Found (x2 x41) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x10):(cP X)
% 141.36/141.66 Found (x2 x10) as proof of (cP X)
% 141.36/141.66 Found (x2 x10) as proof of (cP X)
% 141.36/141.66 Found x50:=(x5 x41):(cP X0)
% 141.36/141.66 Found (x5 x41) as proof of (cP X0)
% 141.36/141.66 Found (x5 x41) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x11):(cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X0)
% 141.36/141.66 Found (x2 x11) as proof of (cP X0)
% 141.36/141.66 Found (x2 x11) as proof of (cP X0)
% 141.36/141.66 Found x50:=(x5 x10):(cP X0)
% 141.36/141.66 Found (x5 x10) as proof of (cP X0)
% 141.36/141.66 Found (x5 x10) as proof of (cP X0)
% 141.36/141.66 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x50:=(x5 x11):(cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x50:=(x5 x11):(cP X0)
% 141.36/141.66 Instantiate: X:=X0:fofType
% 141.36/141.66 Found (x5 x11) as proof of (cP X)
% 141.36/141.66 Found (x5 x11) as proof of (cP X)
% 141.36/141.66 Found x50:=(x5 x11):(cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x20:(cP X)
% 141.36/141.66 Found x20 as proof of (cP X)
% 141.36/141.66 Found x20:(cP X)
% 141.36/141.66 Instantiate: X0:=X:fofType
% 141.36/141.66 Found x20 as proof of (cP X0)
% 141.36/141.66 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x20:=(x2 x11):(cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X)
% 141.36/141.66 Found x21:(cP X)
% 141.36/141.66 Instantiate: X0:=X:fofType
% 141.36/141.66 Found x21 as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x11):(cP X)
% 141.36/141.66 Instantiate: X0:=X:fofType
% 141.36/141.66 Found (x2 x11) as proof of (cP X0)
% 141.36/141.66 Found (x2 x11) as proof of (cP X0)
% 141.36/141.66 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x50:=(x5 x11):(cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found (x5 x11) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x11):(cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X)
% 141.36/141.66 Found x20:(cP X)
% 141.36/141.66 Instantiate: X0:=X:fofType
% 141.36/141.66 Found x20 as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x3):(cP X)
% 141.36/141.66 Found (x2 x3) as proof of (cP X)
% 141.36/141.66 Found (x2 x3) as proof of (cP X)
% 141.36/141.66 Found x20:=(x2 x10):(cP X)
% 141.36/141.66 Instantiate: X:=X0:fofType
% 141.36/141.66 Found (x2 x10) as proof of (cP X0)
% 141.36/141.66 Found (x2 x10) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x3):(cP X)
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found (x2 x3) as proof of (cP X0)
% 141.36/141.66 Found x20:=(x2 x10):(cP X)
% 141.36/141.66 Found (x2 x10) as proof of (cP X)
% 141.36/141.66 Found (x2 x10) as proof of (cP X)
% 141.36/141.66 Found x20:=(x2 x40):(cP X)
% 141.36/141.66 Found (x2 x40) as proof of (cP X)
% 141.36/141.66 Found (x2 x40) as proof of (cP X)
% 141.36/141.66 Found x20:=(x2 x11):(cP X)
% 141.36/141.66 Found (x2 x11) as proof of (cP X)
% 143.37/143.66 Found (x2 x11) as proof of (cP X)
% 143.37/143.66 Found x20:=(x2 x3):(cP X)
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Instantiate: X0:=X:fofType
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x20:=(x2 x11):(cP X)
% 143.37/143.66 Instantiate: X0:=X:fofType
% 143.37/143.66 Found (x2 x11) as proof of (cP X0)
% 143.37/143.66 Found (x2 x11) as proof of (cP X0)
% 143.37/143.66 Found x50:=(x5 x11):(cP X0)
% 143.37/143.66 Found (x5 x11) as proof of (cP X0)
% 143.37/143.66 Found (x5 x11) as proof of (cP X0)
% 143.37/143.66 Found x50:=(x5 x40):(cP X0)
% 143.37/143.66 Found (x5 x40) as proof of (cP X0)
% 143.37/143.66 Found (x5 x40) as proof of (cP X0)
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found x20:=(x2 x3):(cP X)
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found x20:=(x2 x11):(cP X)
% 143.37/143.66 Instantiate: X:=X0:fofType
% 143.37/143.66 Found (x2 x11) as proof of (cP X0)
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Instantiate: X:=X0:fofType
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found x20:=(x2 x40):(cP X)
% 143.37/143.66 Found (x2 x40) as proof of (cP X)
% 143.37/143.66 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 143.37/143.66 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X)
% 143.37/143.66 Found x20:=(x2 x10):(cP X)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found (x2 x10) as proof of (cP X0)
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Instantiate: X0:=X:fofType
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x20:(cP X)
% 143.37/143.66 Instantiate: X:=X0:fofType
% 143.37/143.66 Found x20 as proof of (cP X0)
% 143.37/143.66 Found x6:(cP x5)
% 143.37/143.66 Instantiate: X0:=x5:fofType
% 143.37/143.66 Found x6 as proof of (cP X0)
% 143.37/143.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 143.37/143.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found (x2 x3) as proof of (cP X0)
% 143.37/143.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 143.37/143.66 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Found x20 as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x10):(cP X)
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:=(x2 x10):(cP X)
% 146.65/146.99 Found (x2 x10) as proof of (cP X)
% 146.65/146.99 Found (x2 x10) as proof of (cP X)
% 146.65/146.99 Found x50:=(x5 x10):(cP X0)
% 146.65/146.99 Found (x5 x10) as proof of (cP X0)
% 146.65/146.99 Found (x5 x10) as proof of (cP X0)
% 146.65/146.99 Found x50:(cP X0)
% 146.65/146.99 Instantiate: X:=X0:fofType
% 146.65/146.99 Found x50 as proof of (cP X)
% 146.65/146.99 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Found x20 as proof of (cP X)
% 146.65/146.99 Found x50:(cP X0)
% 146.65/146.99 Found x50 as proof of (cP X0)
% 146.65/146.99 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x50:(cP X0)
% 146.65/146.99 Instantiate: X:=X0:fofType
% 146.65/146.99 Found x50 as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x3):(cP X)
% 146.65/146.99 Found (x2 x3) as proof of (cP X)
% 146.65/146.99 Found (x2 x3) as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x10):(cP X)
% 146.65/146.99 Instantiate: X:=X0:fofType
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found x20:=(x2 x3):(cP X)
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found (x2 x3) as proof of (cP X0)
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Found x20 as proof of (cP X)
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found x20 as proof of (cP X0)
% 146.65/146.99 Found x20:=(x2 x10):(cP X)
% 146.65/146.99 Instantiate: X0:=X:fofType
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found (x2 x10) as proof of (cP X0)
% 146.65/146.99 Found x40:=(x4 x30):(cP X0)
% 146.65/146.99 Found (x4 x30) as proof of (cP X)
% 146.65/146.99 Found (x4 x30) as proof of (cP X)
% 146.65/146.99 Found (x4 x30) as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x10):(cP X)
% 146.65/146.99 Found (x2 x10) as proof of (cP X)
% 146.65/146.99 Found (x2 x10) as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x11):(cP X)
% 146.65/146.99 Found (x2 x11) as proof of (cP X0)
% 146.65/146.99 Found (x2 x11) as proof of (cP X0)
% 146.65/146.99 Found (x2 x11) as proof of (cP X0)
% 146.65/146.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 146.65/146.99 Found x20:=(x2 x11):(cP X)
% 146.65/146.99 Found (x2 x11) as proof of (cP X)
% 146.65/146.99 Found (x2 x11) as proof of (cP X)
% 146.65/146.99 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x5:(cP x4)
% 148.23/148.55 Instantiate: X0:=x4:fofType
% 148.23/148.55 Found x5 as proof of (cP X0)
% 148.23/148.55 Found x20:(cP X)
% 148.23/148.55 Found x20 as proof of (cP X)
% 148.23/148.55 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found x20:(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found x20 as proof of (cP X0)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x7:(cP x6)
% 148.23/148.55 Instantiate: X:=x6:fofType
% 148.23/148.55 Found x7 as proof of (cP X)
% 148.23/148.55 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x20:=(x2 x10):(cP X)
% 148.23/148.55 Found (x2 x10) as proof of (cP X)
% 148.23/148.55 Found (x2 x10) as proof of (cP X)
% 148.23/148.55 Found x20:=(x2 x10):(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found (x2 x10) as proof of (cP X0)
% 148.23/148.55 Found (x2 x10) as proof of (cP X0)
% 148.23/148.55 Found x50:=(x5 x10):(cP X0)
% 148.23/148.55 Found (x5 x10) as proof of (cP X0)
% 148.23/148.55 Found (x5 x10) as proof of (cP X0)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Instantiate: X0:=X:fofType
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x7:(cP x6)
% 148.23/148.55 Instantiate: X0:=x6:fofType
% 148.23/148.55 Found x7 as proof of (cP X0)
% 148.23/148.55 Found x60:=(x6 X):(cP X)
% 148.23/148.55 Found (x6 X) as proof of (cP X)
% 148.23/148.55 Found (x6 X) as proof of (cP X)
% 148.23/148.55 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 148.23/148.55 Found x20:=(x2 x6):(cP X)
% 148.23/148.55 Instantiate: X:=X1:fofType
% 148.23/148.55 Found (x2 x6) as proof of (cP X1)
% 148.23/148.55 Found x50:=(x5 x6):(cP X0)
% 148.23/148.55 Instantiate: X0:=X1:fofType
% 148.23/148.55 Found (x5 x6) as proof of (cP X1)
% 148.23/148.55 Found x20:=(x2 x6):(cP X)
% 148.23/148.55 Found (x2 x6) as proof of (cP X1)
% 148.23/148.55 Found (x2 x6) as proof of (cP X1)
% 148.23/148.55 Found x50:=(x5 x6):(cP X0)
% 148.23/148.55 Found (x5 x6) as proof of (cP X1)
% 148.23/148.55 Found (x5 x6) as proof of (cP X1)
% 148.23/148.55 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x2 x6) as proof of (cP X1)
% 148.23/148.55 Found (x2 x6) as proof of (cP X1)
% 148.23/148.55 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x5 x6) as proof of (cP X1)
% 148.23/148.55 Found (x5 x6) as proof of (cP X1)
% 148.23/148.55 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x20:=(x2 x11):(cP X)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found (x2 x11) as proof of (cP X0)
% 148.23/148.55 Found x20:=(x2 x3):(cP X)
% 148.23/148.55 Instantiate: X:=X0:fofType
% 148.23/148.55 Found (x2 x3) as proof of (cP X0)
% 148.23/148.55 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 148.23/148.55 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found x20:=(x2 x11):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x11) as proof of (cP X0)
% 149.23/149.49 Found (x2 x11) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x41):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x41) as proof of (cP X)
% 149.23/149.49 Found (x5 x41) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x41):(cP X)
% 149.23/149.49 Found (x2 x41) as proof of (cP X)
% 149.23/149.49 Found (x2 x41) as proof of (cP X)
% 149.23/149.49 Found x50:=(x5 x40):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x40) as proof of (cP X)
% 149.23/149.49 Found (x5 x40) as proof of (cP X)
% 149.23/149.49 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x40):(cP X)
% 149.23/149.49 Found (x2 x40) as proof of (cP X)
% 149.23/149.49 Found (x2 x40) as proof of (cP X)
% 149.23/149.49 Found x50:=(x5 x11):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x11) as proof of (cP X)
% 149.23/149.49 Found (x5 x11) as proof of (cP X)
% 149.23/149.49 Found x50:=(x5 x11):(cP X0)
% 149.23/149.49 Found (x5 x11) as proof of (cP X0)
% 149.23/149.49 Found (x5 x11) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x11):(cP X0)
% 149.23/149.49 Found (x5 x11) as proof of (cP X0)
% 149.23/149.49 Found (x5 x11) as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found (x2 x10) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x11):(cP X)
% 149.23/149.49 Found (x2 x11) as proof of (cP X)
% 149.23/149.49 Found (x2 x11) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x3):(cP X)
% 149.23/149.49 Found (x2 x3) as proof of (cP X0)
% 149.23/149.49 Found (x2 x3) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found (x5 x10) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x11):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x11) as proof of (cP X)
% 149.23/149.49 Found (x5 x11) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x11):(cP X)
% 149.23/149.49 Found (x2 x11) as proof of (cP X)
% 149.23/149.49 Found (x2 x11) as proof of (cP X)
% 149.23/149.49 Found x50:=(x5 x10):(cP X0)
% 149.23/149.49 Instantiate: X:=X0:fofType
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found (x5 x10) as proof of (cP X)
% 149.23/149.49 Found x20:=(x2 x10):(cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found (x2 x10) as proof of (cP X)
% 149.23/149.49 Found x20:(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found x20 as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x41):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x41) as proof of (cP X0)
% 149.23/149.49 Found (x2 x41) as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x40):(cP X)
% 149.23/149.49 Instantiate: X0:=X:fofType
% 149.23/149.49 Found (x2 x40) as proof of (cP X0)
% 149.23/149.49 Found (x2 x40) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x40):(cP X0)
% 149.23/149.49 Found (x5 x40) as proof of (cP X0)
% 149.23/149.49 Found (x5 x40) as proof of (cP X0)
% 149.23/149.49 Found x50:=(x5 x41):(cP X0)
% 149.23/149.49 Found (x5 x41) as proof of (cP X0)
% 149.23/149.49 Found (x5 x41) as proof of (cP X0)
% 149.23/149.49 Found x20:=(x2 x3):(cP X)
% 149.23/149.49 Found (x2 x3) as proof of (cP X0)
% 149.23/149.49 Found (x2 x3) as proof of (cP X0)
% 149.23/149.49 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.23/149.49 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Instantiate: X0:=X:fofType
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Instantiate: X0:=X:fofType
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x50:(cP X0)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found x50 as proof of (cP X)
% 149.94/150.26 Found x20:=(x2 x10):(cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X)
% 149.94/150.26 Found x20:=(x2 x11):(cP X)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found (x2 x11) as proof of (cP X0)
% 149.94/150.26 Found (x2 x11) as proof of (cP X0)
% 149.94/150.26 Found x20:=(x2 x10):(cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found x20:=(x2 x10):(cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X)
% 149.94/150.26 Found x20:=(x2 x11):(cP X)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found (x2 x11) as proof of (cP X0)
% 149.94/150.26 Found (x2 x11) as proof of (cP X0)
% 149.94/150.26 Found x20:=(x2 x10):(cP X)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found (x2 x10) as proof of (cP X0)
% 149.94/150.26 Found x50:(cP X0)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found x50 as proof of (cP X)
% 149.94/150.26 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Instantiate: X:=X0:fofType
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x20:(cP X)
% 149.94/150.26 Instantiate: X0:=X:fofType
% 149.94/150.26 Found x20 as proof of (cP X0)
% 149.94/150.26 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 149.94/150.26 Found x21:(cP X)
% 149.94/150.26 Instantiate: X0:=X:fofType
% 151.87/152.19 Found x21 as proof of (cP X0)
% 151.87/152.19 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x20:=(x2 x3):(cP X)
% 151.87/152.19 Found (x2 x3) as proof of (cP X0)
% 151.87/152.19 Found (x2 x3) as proof of (cP X0)
% 151.87/152.19 Found x20:=(x2 x3):(cP X)
% 151.87/152.19 Found (x2 x3) as proof of (cP X0)
% 151.87/152.19 Found (x2 x3) as proof of (cP X0)
% 151.87/152.19 Found x20:(cP X)
% 151.87/152.19 Instantiate: X0:=X:fofType
% 151.87/152.19 Found x20 as proof of (cP X0)
% 151.87/152.19 Found x60:=(x6 X):(cP X)
% 151.87/152.19 Found (x6 X) as proof of (cP X)
% 151.87/152.19 Found (x6 X) as proof of (cP X)
% 151.87/152.19 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 151.87/152.19 Found x20:=(x2 x6):(cP X)
% 151.87/152.19 Instantiate: X:=X1:fofType
% 151.87/152.19 Found (x2 x6) as proof of (cP X1)
% 151.87/152.19 Found x50:=(x5 x6):(cP X0)
% 151.87/152.19 Instantiate: X0:=X1:fofType
% 151.87/152.19 Found (x5 x6) as proof of (cP X1)
% 151.87/152.19 Found x20:=(x2 x6):(cP X)
% 151.87/152.19 Found (x2 x6) as proof of (cP X1)
% 151.87/152.19 Found (x2 x6) as proof of (cP X1)
% 151.87/152.19 Found x50:=(x5 x6):(cP X0)
% 151.87/152.19 Found (x5 x6) as proof of (cP X1)
% 151.87/152.19 Found (x5 x6) as proof of (cP X1)
% 151.87/152.19 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (x2 x6) as proof of (cP X1)
% 151.87/152.19 Found (x2 x6) as proof of (cP X1)
% 151.87/152.19 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (x5 x6) as proof of (cP X1)
% 151.87/152.19 Found (x5 x6) as proof of (cP X1)
% 151.87/152.19 Found x20:(cP X)
% 151.87/152.19 Instantiate: X:=X0:fofType
% 151.87/152.19 Found x20 as proof of (cP X0)
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 151.87/152.19 Found x20:=(x2 x10):(cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x4:(cP x3)
% 151.87/152.19 Instantiate: X:=x3:fofType
% 151.87/152.19 Found x4 as proof of (cP X)
% 151.87/152.19 Found x6:(cP x5)
% 151.87/152.19 Instantiate: X0:=x5:fofType
% 151.87/152.19 Found x6 as proof of (cP X0)
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x50:=(x5 x10):(cP X0)
% 151.87/152.19 Found (x5 x10) as proof of (cP X0)
% 151.87/152.19 Found (x5 x10) as proof of (cP X0)
% 151.87/152.19 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x20:(cP X)
% 151.87/152.19 Instantiate: X0:=X:fofType
% 151.87/152.19 Found x20 as proof of (cP X0)
% 151.87/152.19 Found x20:=(x2 x10):(cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X)
% 151.87/152.19 Found x20:=(x2 x11):(cP X)
% 151.87/152.19 Instantiate: X:=X0:fofType
% 151.87/152.19 Found (x2 x11) as proof of (cP X0)
% 151.87/152.19 Found (x2 x11) as proof of (cP X0)
% 151.87/152.19 Found x20:=(x2 x10):(cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found (x2 x10) as proof of (cP X0)
% 151.87/152.19 Found x20:=(x2 x10):(cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X)
% 151.87/152.19 Found (x2 x10) as proof of (cP X)
% 151.87/152.19 Found x20:=(x2 x11):(cP X)
% 151.87/152.19 Instantiate: X:=X0:fofType
% 151.87/152.19 Found (x2 x11) as proof of (cP X0)
% 151.87/152.19 Found (x2 x11) as proof of (cP X0)
% 151.87/152.19 Found x20:=(x2 x10):(cP X)
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found (x2 x10) as proof of (cP X0)
% 152.76/153.03 Found x20:=(x2 x40):(cP X)
% 152.76/153.03 Instantiate: X0:=X:fofType
% 152.76/153.03 Found (x2 x40) as proof of (cP X0)
% 152.76/153.03 Found (x2 x40) as proof of (cP X0)
% 152.76/153.03 Found x20:=(x2 x11):(cP X)
% 152.76/153.03 Instantiate: X0:=X:fofType
% 152.76/153.03 Found (x2 x11) as proof of (cP X0)
% 152.76/153.03 Found (x2 x11) as proof of (cP X0)
% 152.76/153.03 Found x50:=(x5 x11):(cP X0)
% 152.76/153.03 Found (x5 x11) as proof of (cP X0)
% 152.76/153.03 Found (x5 x11) as proof of (cP X0)
% 152.76/153.03 Found x20:=(x2 x41):(cP X)
% 152.76/153.03 Instantiate: X0:=X:fofType
% 152.76/153.03 Found (x2 x41) as proof of (cP X0)
% 152.76/153.03 Found (x2 x41) as proof of (cP X0)
% 152.76/153.03 Found x50:=(x5 x41):(cP X0)
% 152.76/153.03 Found (x5 x41) as proof of (cP X0)
% 152.76/153.03 Found (x5 x41) as proof of (cP X0)
% 152.76/153.03 Found x50:=(x5 x10):(cP X0)
% 152.76/153.03 Instantiate: X:=X0:fofType
% 152.76/153.03 Found (x5 x10) as proof of (cP X)
% 152.76/153.03 Found (x5 x10) as proof of (cP X)
% 152.76/153.03 Found x20:=(x2 x10):(cP X)
% 152.76/153.03 Found (x2 x10) as proof of (cP X)
% 152.76/153.03 Found (x2 x10) as proof of (cP X)
% 152.76/153.03 Found x20:(cP X)
% 152.76/153.03 Found x20 as proof of (cP X)
% 152.76/153.03 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x20:(cP X)
% 152.76/153.03 Instantiate: X0:=X:fofType
% 152.76/153.03 Found x20 as proof of (cP X0)
% 152.76/153.03 Found x50:=(x5 x40):(cP X0)
% 152.76/153.03 Found (x5 x40) as proof of (cP X0)
% 152.76/153.03 Found (x5 x40) as proof of (cP X0)
% 152.76/153.03 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x50:=(x5 x41):(cP X0)
% 152.76/153.03 Instantiate: X:=X0:fofType
% 152.76/153.03 Found (x5 x41) as proof of (cP X)
% 152.76/153.03 Found (x5 x41) as proof of (cP X)
% 152.76/153.03 Found x20:=(x2 x41):(cP X)
% 152.76/153.03 Found (x2 x41) as proof of (cP X)
% 152.76/153.03 Found (x2 x41) as proof of (cP X)
% 152.76/153.03 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x20:=(x2 x40):(cP X)
% 152.76/153.03 Found (x2 x40) as proof of (cP X)
% 152.76/153.03 Found (x2 x40) as proof of (cP X)
% 152.76/153.03 Found x20:=(x2 x11):(cP X)
% 152.76/153.03 Found (x2 x11) as proof of (cP X)
% 152.76/153.03 Found (x2 x11) as proof of (cP X)
% 152.76/153.03 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x20:(cP X)
% 152.76/153.03 Instantiate: X0:=X:fofType
% 152.76/153.03 Found x20 as proof of (cP X0)
% 152.76/153.03 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x20:(cP X)
% 152.76/153.03 Found x20 as proof of (cP X)
% 152.76/153.03 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x2 x3) as proof of (cP X0)
% 152.76/153.03 Found (x2 x3) as proof of (cP X0)
% 152.76/153.03 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 152.76/153.03 Found x50:=(x5 x40):(cP X0)
% 152.76/153.03 Instantiate: X:=X0:fofType
% 152.76/153.03 Found (x5 x40) as proof of (cP X)
% 152.76/153.03 Found (x5 x40) as proof of (cP X)
% 152.76/153.03 Found x50:=(x5 x41):(cP X0)
% 152.76/153.03 Instantiate: X:=X0:fofType
% 152.76/153.03 Found (x5 x41) as proof of (cP X)
% 153.35/153.66 Found (x5 x41) as proof of (cP X)
% 153.35/153.66 Found x20:=(x2 x40):(cP X)
% 153.35/153.66 Found (x2 x40) as proof of (cP X)
% 153.35/153.66 Found (x2 x40) as proof of (cP X)
% 153.35/153.66 Found x20:=(x2 x11):(cP X)
% 153.35/153.66 Instantiate: X0:=X:fofType
% 153.35/153.66 Found (x2 x11) as proof of (cP X0)
% 153.35/153.66 Found (x2 x11) as proof of (cP X0)
% 153.35/153.66 Found x20:=(x2 x41):(cP X)
% 153.35/153.66 Found (x2 x41) as proof of (cP X)
% 153.35/153.66 Found (x2 x41) as proof of (cP X)
% 153.35/153.66 Found x50:=(x5 x10):(cP X0)
% 153.35/153.66 Instantiate: X:=X0:fofType
% 153.35/153.66 Found (x5 x10) as proof of (cP X)
% 153.35/153.66 Found (x5 x10) as proof of (cP X)
% 153.35/153.66 Found x20:=(x2 x10):(cP X)
% 153.35/153.66 Found (x2 x10) as proof of (cP X)
% 153.35/153.66 Found (x2 x10) as proof of (cP X)
% 153.35/153.66 Found x50:=(x5 x11):(cP X0)
% 153.35/153.66 Found (x5 x11) as proof of (cP X0)
% 153.35/153.66 Found (x5 x11) as proof of (cP X0)
% 153.35/153.66 Found x20:(cP X)
% 153.35/153.66 Instantiate: X0:=X:fofType
% 153.35/153.66 Found x20 as proof of (cP X0)
% 153.35/153.66 Found x20:(cP X)
% 153.35/153.66 Found x20 as proof of (cP X)
% 153.35/153.66 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x60:=(x6 X):(cP X)
% 153.35/153.66 Found (x6 X) as proof of (cP X)
% 153.35/153.66 Found (x6 X) as proof of (cP X)
% 153.35/153.66 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 153.35/153.66 Found x20:=(x2 x6):(cP X)
% 153.35/153.66 Instantiate: X:=X1:fofType
% 153.35/153.66 Found (x2 x6) as proof of (cP X1)
% 153.35/153.66 Found x50:=(x5 x6):(cP X0)
% 153.35/153.66 Instantiate: X0:=X1:fofType
% 153.35/153.66 Found (x5 x6) as proof of (cP X1)
% 153.35/153.66 Found x20:=(x2 x6):(cP X)
% 153.35/153.66 Found (x2 x6) as proof of (cP X1)
% 153.35/153.66 Found (x2 x6) as proof of (cP X1)
% 153.35/153.66 Found x50:=(x5 x6):(cP X0)
% 153.35/153.66 Found (x5 x6) as proof of (cP X1)
% 153.35/153.66 Found (x5 x6) as proof of (cP X1)
% 153.35/153.66 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x2 x6) as proof of (cP X1)
% 153.35/153.66 Found (x2 x6) as proof of (cP X1)
% 153.35/153.66 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x5 x6) as proof of (cP X1)
% 153.35/153.66 Found (x5 x6) as proof of (cP X1)
% 153.35/153.66 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x20:=(x2 x40):(cP X)
% 153.35/153.66 Instantiate: X0:=X:fofType
% 153.35/153.66 Found (x2 x40) as proof of (cP X0)
% 153.35/153.66 Found (x2 x40) as proof of (cP X0)
% 153.35/153.66 Found x20:=(x2 x41):(cP X)
% 153.35/153.66 Instantiate: X0:=X:fofType
% 153.35/153.66 Found (x2 x41) as proof of (cP X0)
% 153.35/153.66 Found (x2 x41) as proof of (cP X0)
% 153.35/153.66 Found x50:=(x5 x11):(cP X0)
% 153.35/153.66 Instantiate: X:=X0:fofType
% 153.35/153.66 Found (x5 x11) as proof of (cP X)
% 153.35/153.66 Found (x5 x11) as proof of (cP X)
% 153.35/153.66 Found x20:=(x2 x11):(cP X)
% 153.35/153.66 Found (x2 x11) as proof of (cP X)
% 153.35/153.66 Found (x2 x11) as proof of (cP X)
% 153.35/153.66 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x20:=(x2 x10):(cP X)
% 153.35/153.66 Instantiate: X0:=X:fofType
% 153.35/153.66 Found (x2 x10) as proof of (cP X0)
% 153.35/153.66 Found (x2 x10) as proof of (cP X0)
% 153.35/153.66 Found x50:=(x5 x40):(cP X0)
% 153.35/153.66 Found (x5 x40) as proof of (cP X0)
% 153.35/153.66 Found (x5 x40) as proof of (cP X0)
% 153.35/153.66 Found x50:=(x5 x10):(cP X0)
% 153.35/153.66 Found (x5 x10) as proof of (cP X0)
% 153.35/153.66 Found (x5 x10) as proof of (cP X0)
% 153.35/153.66 Found x50:=(x5 x41):(cP X0)
% 153.35/153.66 Found (x5 x41) as proof of (cP X0)
% 153.35/153.66 Found (x5 x41) as proof of (cP X0)
% 153.35/153.66 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 153.35/153.66 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x6:(cP x5)
% 156.65/156.92 Instantiate: X0:=x5:fofType
% 156.65/156.92 Found x6 as proof of (cP X0)
% 156.65/156.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> x40) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 156.65/156.92 Found x6:(cP x5)
% 156.65/156.92 Instantiate: X0:=x5:fofType
% 156.65/156.92 Found x6 as proof of (cP X0)
% 156.65/156.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x2 x3) as proof of (cP X0)
% 156.65/156.92 Found (x2 x3) as proof of (cP X0)
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x20 as proof of (cP X0)
% 156.65/156.92 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x2 x3) as proof of (cP X0)
% 156.65/156.92 Found (x2 x3) as proof of (cP X0)
% 156.65/156.92 Found x20:=(x2 x11):(cP X)
% 156.65/156.92 Found (x2 x11) as proof of (cP X0)
% 156.65/156.92 Found (x2 x11) as proof of (cP X0)
% 156.65/156.92 Found (x2 x11) as proof of (cP X0)
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Found x20 as proof of (cP X)
% 156.65/156.92 Found x50:(cP X0)
% 156.65/156.92 Found x50 as proof of (cP X0)
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x20 as proof of (cP X0)
% 156.65/156.92 Found x50:(cP X0)
% 156.65/156.92 Instantiate: X:=X0:fofType
% 156.65/156.92 Found x50 as proof of (cP X)
% 156.65/156.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x40:=(x4 x30):(cP X0)
% 156.65/156.92 Found (x4 x30) as proof of (cP X)
% 156.65/156.92 Found (x4 x30) as proof of (cP X)
% 156.65/156.92 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 156.65/156.92 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x20 as proof of (cP X0)
% 156.65/156.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Found x20 as proof of (cP X)
% 156.65/156.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x50:(cP X0)
% 156.65/156.92 Instantiate: X:=X0:fofType
% 156.65/156.92 Found x50 as proof of (cP X)
% 156.65/156.92 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x20 as proof of (cP X0)
% 156.65/156.92 Found x50:(cP X0)
% 156.65/156.92 Found x50 as proof of (cP X0)
% 156.65/156.92 Found x21:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x21 as proof of (cP X0)
% 156.65/156.92 Found x20:=(x2 x10):(cP X)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found x20:=(x2 x3):(cP X)
% 156.65/156.92 Instantiate: X:=X0:fofType
% 156.65/156.92 Found (x2 x3) as proof of (cP X0)
% 156.65/156.92 Found x20:(cP X)
% 156.65/156.92 Found x20 as proof of (cP X0)
% 156.65/156.92 Found x21:(cP X)
% 156.65/156.92 Instantiate: X0:=X:fofType
% 156.65/156.92 Found x21 as proof of (cP X0)
% 156.65/156.92 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found x20:=(x2 x10):(cP X)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found (x2 x10) as proof of (cP X0)
% 156.65/156.92 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x50:=(x5 x10):(cP X0)
% 158.24/158.54 Instantiate: X:=X0:fofType
% 158.24/158.54 Found (x5 x10) as proof of (cP X)
% 158.24/158.54 Found (x5 x10) as proof of (cP X)
% 158.24/158.54 Found x20:=(x2 x10):(cP X)
% 158.24/158.54 Found (x2 x10) as proof of (cP X)
% 158.24/158.54 Found (x2 x10) as proof of (cP X)
% 158.24/158.54 Found x50:=(x5 x10):(cP X0)
% 158.24/158.54 Found (x5 x10) as proof of (cP X0)
% 158.24/158.54 Found (x5 x10) as proof of (cP X0)
% 158.24/158.54 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found x20:=(x2 x11):(cP X)
% 158.24/158.54 Instantiate: X0:=X:fofType
% 158.24/158.54 Found (x2 x11) as proof of (cP X0)
% 158.24/158.54 Found (x2 x11) as proof of (cP X0)
% 158.24/158.54 Found x20:=(x2 x11):(cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x50:=(x5 x11):(cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found x20:=(x2 x3):(cP X)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found x20:=(x2 x3):(cP X)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found (x2 x3) as proof of (cP X0)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x50:=(x5 x11):(cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found x50:=(x5 x40):(cP X0)
% 158.24/158.54 Found (x5 x40) as proof of (cP X0)
% 158.24/158.54 Found (x5 x40) as proof of (cP X0)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x50:=(x5 x11):(cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found (x5 x11) as proof of (cP X0)
% 158.24/158.54 Found x50:=(x5 x11):(cP X0)
% 158.24/158.54 Instantiate: X:=X0:fofType
% 158.24/158.54 Found (x5 x11) as proof of (cP X)
% 158.24/158.54 Found (x5 x11) as proof of (cP X)
% 158.24/158.54 Found x20:=(x2 x11):(cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x20:=(x2 x40):(cP X)
% 158.24/158.54 Found (x2 x40) as proof of (cP X)
% 158.24/158.54 Found (x2 x40) as proof of (cP X)
% 158.24/158.54 Found x50:=(x5 x11):(cP X0)
% 158.24/158.54 Instantiate: X:=X0:fofType
% 158.24/158.54 Found (x5 x11) as proof of (cP X)
% 158.24/158.54 Found (x5 x11) as proof of (cP X)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x20:=(x2 x11):(cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found (x2 x11) as proof of (cP X)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x20:(cP X)
% 158.24/158.54 Instantiate: X0:=X:fofType
% 158.24/158.54 Found x20 as proof of (cP X0)
% 158.24/158.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x20:(cP X)
% 158.24/158.54 Instantiate: X0:=X:fofType
% 158.24/158.54 Found x20 as proof of (cP X0)
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 158.24/158.54 Found x5:(cP x4)
% 158.24/158.54 Instantiate: X0:=x4:fofType
% 160.01/160.28 Found x5 as proof of (cP X0)
% 160.01/160.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x20:(cP X)
% 160.01/160.28 Found x20 as proof of (cP X0)
% 160.01/160.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x5:(cP x4)
% 160.01/160.28 Instantiate: X0:=x4:fofType
% 160.01/160.28 Found x5 as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x40):(cP X)
% 160.01/160.28 Found (x2 x40) as proof of (cP X)
% 160.01/160.28 Found (x2 x40) as proof of (cP X)
% 160.01/160.28 Found x7:(cP x6)
% 160.01/160.28 Instantiate: X0:=x6:fofType
% 160.01/160.28 Found x7 as proof of (cP X0)
% 160.01/160.28 Found x4:(cP x3)
% 160.01/160.28 Instantiate: X:=x3:fofType
% 160.01/160.28 Found x4 as proof of (cP X)
% 160.01/160.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x7:(cP x6)
% 160.01/160.28 Instantiate: X:=x6:fofType
% 160.01/160.28 Found x7 as proof of (cP X)
% 160.01/160.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x20:=(x2 x10):(cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found x20:=(x2 x11):(cP X)
% 160.01/160.28 Instantiate: X0:=X:fofType
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x11):(cP X)
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x40):(cP X)
% 160.01/160.28 Instantiate: X0:=X:fofType
% 160.01/160.28 Found (x2 x40) as proof of (cP X0)
% 160.01/160.28 Found (x2 x40) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x3):(cP X)
% 160.01/160.28 Instantiate: X:=X0:fofType
% 160.01/160.28 Found (x2 x3) as proof of (cP X0)
% 160.01/160.28 Found x50:=(x5 x11):(cP X0)
% 160.01/160.28 Found (x5 x11) as proof of (cP X0)
% 160.01/160.28 Found (x5 x11) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x10):(cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found x50:=(x5 x11):(cP X0)
% 160.01/160.28 Instantiate: X:=X0:fofType
% 160.01/160.28 Found (x5 x11) as proof of (cP X)
% 160.01/160.28 Found (x5 x11) as proof of (cP X)
% 160.01/160.28 Found x20:=(x2 x11):(cP X)
% 160.01/160.28 Found (x2 x11) as proof of (cP X)
% 160.01/160.28 Found (x2 x11) as proof of (cP X)
% 160.01/160.28 Found x20:=(x2 x10):(cP X)
% 160.01/160.28 Instantiate: X0:=X:fofType
% 160.01/160.28 Found (x2 x10) as proof of (cP X0)
% 160.01/160.28 Found (x2 x10) as proof of (cP X0)
% 160.01/160.28 Found x50:=(x5 x10):(cP X0)
% 160.01/160.28 Found (x5 x10) as proof of (cP X0)
% 160.01/160.28 Found (x5 x10) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x11):(cP X)
% 160.01/160.28 Found (x2 x11) as proof of (cP X)
% 160.01/160.28 Found (x2 x11) as proof of (cP X)
% 160.01/160.28 Found x50:=(x5 x10):(cP X0)
% 160.01/160.28 Instantiate: X:=X0:fofType
% 160.01/160.28 Found (x5 x10) as proof of (cP X)
% 160.01/160.28 Found (x5 x10) as proof of (cP X)
% 160.01/160.28 Found x50:=(x5 x10):(cP X0)
% 160.01/160.28 Found (x5 x10) as proof of (cP X0)
% 160.01/160.28 Found (x5 x10) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x11):(cP X)
% 160.01/160.28 Instantiate: X0:=X:fofType
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found (x2 x11) as proof of (cP X0)
% 160.01/160.28 Found x20:=(x2 x10):(cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found (x2 x10) as proof of (cP X)
% 160.01/160.28 Found x50:=(x5 x11):(cP X0)
% 160.01/160.28 Found (x5 x11) as proof of (cP X0)
% 160.01/160.28 Found (x5 x11) as proof of (cP X0)
% 160.01/160.28 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 160.01/160.28 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x50:=(x5 x11):(cP X0)
% 161.25/161.60 Found (x5 x11) as proof of (cP X0)
% 161.25/161.60 Found (x5 x11) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found x20:=(x2 x41):(cP X)
% 161.25/161.60 Instantiate: X0:=X:fofType
% 161.25/161.60 Found (x2 x41) as proof of (cP X0)
% 161.25/161.60 Found (x2 x41) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x40):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x40) as proof of (cP X)
% 161.25/161.60 Found (x5 x40) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x40):(cP X)
% 161.25/161.60 Found (x2 x40) as proof of (cP X)
% 161.25/161.60 Found (x2 x40) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x41):(cP X0)
% 161.25/161.60 Found (x5 x41) as proof of (cP X0)
% 161.25/161.60 Found (x5 x41) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x10):(cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x40):(cP X0)
% 161.25/161.60 Found (x5 x40) as proof of (cP X0)
% 161.25/161.60 Found (x5 x40) as proof of (cP X0)
% 161.25/161.60 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x20:(cP X)
% 161.25/161.60 Instantiate: X0:=X:fofType
% 161.25/161.60 Found x20 as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x40):(cP X0)
% 161.25/161.60 Found (x5 x40) as proof of (cP X0)
% 161.25/161.60 Found (x5 x40) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x41):(cP X0)
% 161.25/161.60 Found (x5 x41) as proof of (cP X0)
% 161.25/161.60 Found (x5 x41) as proof of (cP X0)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x10):(cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x11):(cP X)
% 161.25/161.60 Found (x2 x11) as proof of (cP X)
% 161.25/161.60 Found (x2 x11) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x41):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x41) as proof of (cP X)
% 161.25/161.60 Found (x5 x41) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found (x5 x10) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x41):(cP X)
% 161.25/161.60 Found (x2 x41) as proof of (cP X)
% 161.25/161.60 Found (x2 x41) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x11):(cP X)
% 161.25/161.60 Instantiate: X0:=X:fofType
% 161.25/161.60 Found (x2 x11) as proof of (cP X0)
% 161.25/161.60 Found (x2 x11) as proof of (cP X0)
% 161.25/161.60 Found x20:=(x2 x10):(cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found (x2 x10) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x11):(cP X0)
% 161.25/161.60 Found (x5 x11) as proof of (cP X0)
% 161.25/161.60 Found (x5 x11) as proof of (cP X0)
% 161.25/161.60 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x50:=(x5 x40):(cP X0)
% 161.25/161.60 Instantiate: X:=X0:fofType
% 161.25/161.60 Found (x5 x40) as proof of (cP X)
% 161.25/161.60 Found (x5 x40) as proof of (cP X)
% 161.25/161.60 Found x20:=(x2 x11):(cP X)
% 161.25/161.60 Found (x2 x11) as proof of (cP X)
% 161.25/161.60 Found (x2 x11) as proof of (cP X)
% 161.25/161.60 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x20:=(x2 x41):(cP X)
% 161.25/161.60 Found (x2 x41) as proof of (cP X)
% 161.25/161.60 Found (x2 x41) as proof of (cP X)
% 161.25/161.60 Found x50:=(x5 x10):(cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found (x5 x10) as proof of (cP X0)
% 161.25/161.60 Found x20:=(x2 x40):(cP X)
% 161.25/161.60 Found (x2 x40) as proof of (cP X)
% 161.25/161.60 Found (x2 x40) as proof of (cP X)
% 161.25/161.60 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x20:(cP X)
% 161.25/161.60 Found x20 as proof of (cP X)
% 161.25/161.60 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x20:(cP X)
% 161.25/161.60 Instantiate: X0:=X:fofType
% 161.25/161.60 Found x20 as proof of (cP X0)
% 161.25/161.60 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 161.25/161.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Found x20 as proof of (cP X)
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Instantiate: X0:=X:fofType
% 164.13/164.47 Found x20 as proof of (cP X0)
% 164.13/164.47 Found x20:=(x2 x3):(cP X)
% 164.13/164.47 Instantiate: X:=X0:fofType
% 164.13/164.47 Found (x2 x3) as proof of (cP X0)
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Instantiate: X:=X0:fofType
% 164.13/164.47 Found x20 as proof of (cP X0)
% 164.13/164.47 Found x21:(cP X)
% 164.13/164.47 Instantiate: X0:=X:fofType
% 164.13/164.47 Found x21 as proof of (cP X0)
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x6:(cP x5)
% 164.13/164.47 Instantiate: X0:=x5:fofType
% 164.13/164.47 Found x6 as proof of (cP X0)
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x6:(cP x5)
% 164.13/164.47 Instantiate: X0:=x5:fofType
% 164.13/164.47 Found x6 as proof of (cP X0)
% 164.13/164.47 Found x40:=(x4 x30):(cP X0)
% 164.13/164.47 Found (x4 x30) as proof of (cP X0)
% 164.13/164.47 Found (x4 x30) as proof of (cP X0)
% 164.13/164.47 Found x40:=(x4 x31):(cP X0)
% 164.13/164.47 Instantiate: X:=X0:fofType
% 164.13/164.47 Found (x4 x31) as proof of (cP X)
% 164.13/164.47 Found (x4 x31) as proof of (cP X)
% 164.13/164.47 Found x40:=(x4 x31):(cP X0)
% 164.13/164.47 Found (x4 x31) as proof of (cP X)
% 164.13/164.47 Found (x4 x31) as proof of (cP X)
% 164.13/164.47 Found (x4 x31) as proof of (cP X)
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Instantiate: X0:=X:fofType
% 164.13/164.47 Found x20 as proof of (cP X0)
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x20:=(x2 x40):(cP X)
% 164.13/164.47 Found (x2 x40) as proof of (cP X)
% 164.13/164.47 Found (x2 x40) as proof of (cP X)
% 164.13/164.47 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x2 x3) as proof of (cP X0)
% 164.13/164.47 Found (x2 x3) as proof of (cP X0)
% 164.13/164.47 Found x50:=(x5 x10):(cP X0)
% 164.13/164.47 Found (x5 x10) as proof of (cP X0)
% 164.13/164.47 Found (x5 x10) as proof of (cP X0)
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Instantiate: X0:=X:fofType
% 164.13/164.47 Found x20 as proof of (cP X0)
% 164.13/164.47 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found (x2 x11) as proof of (cP X0)
% 164.13/164.47 Found (x2 x11) as proof of (cP X0)
% 164.13/164.47 Found (x2 x11) as proof of (cP X0)
% 164.13/164.47 Found x20:(cP X)
% 164.13/164.47 Found x20 as proof of (cP X)
% 164.13/164.47 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 164.13/164.47 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found x20 as proof of (cP X0)
% 167.34/167.66 Found x50:(cP X0)
% 167.34/167.66 Instantiate: X:=X0:fofType
% 167.34/167.66 Found x50 as proof of (cP X)
% 167.34/167.66 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x6:(cP x5)
% 167.34/167.66 Instantiate: X0:=x5:fofType
% 167.34/167.66 Found x6 as proof of (cP X0)
% 167.34/167.66 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x20:=(x2 x3):(cP X)
% 167.34/167.66 Instantiate: X:=X0:fofType
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x2 x11) as proof of (cP X0)
% 167.34/167.66 Found (x2 x11) as proof of (cP X0)
% 167.34/167.66 Found (x2 x11) as proof of (cP X0)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Found x20 as proof of (cP X)
% 167.34/167.66 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found x20 as proof of (cP X0)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Instantiate: X:=X0:fofType
% 167.34/167.66 Found x20 as proof of (cP X0)
% 167.34/167.66 Found x6:(cP x5)
% 167.34/167.66 Instantiate: X0:=x5:fofType
% 167.34/167.66 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 167.34/167.66 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x20:=(x2 x10):(cP X)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found x20:=(x2 x10):(cP X)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found (x2 x10) as proof of (cP X0)
% 167.34/167.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found (x2 x3) as proof of (cP X0)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Found x20 as proof of (cP X)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found x20 as proof of (cP X0)
% 167.34/167.66 Found x20:(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found x20 as proof of (cP X0)
% 167.34/167.66 Found x20:=(x2 x41):(cP X)
% 167.34/167.66 Found (x2 x41) as proof of (cP X)
% 167.34/167.66 Found (x2 x41) as proof of (cP X)
% 167.34/167.66 Found x50:=(x5 x40):(cP X0)
% 167.34/167.66 Found (x5 x40) as proof of (cP X0)
% 167.34/167.66 Found (x5 x40) as proof of (cP X0)
% 167.34/167.66 Found x50:=(x5 x10):(cP X0)
% 167.34/167.66 Found (x5 x10) as proof of (cP X0)
% 167.34/167.66 Found (x5 x10) as proof of (cP X0)
% 167.34/167.66 Found x20:=(x2 x11):(cP X)
% 167.34/167.66 Found (x2 x11) as proof of (cP X)
% 167.34/167.66 Found (x2 x11) as proof of (cP X)
% 167.34/167.66 Found x20:=(x2 x40):(cP X)
% 167.34/167.66 Found (x2 x40) as proof of (cP X)
% 167.34/167.66 Found (x2 x40) as proof of (cP X)
% 167.34/167.66 Found x20:=(x2 x10):(cP X)
% 167.34/167.66 Found (x2 x10) as proof of (cP X)
% 167.34/167.66 Found (x2 x10) as proof of (cP X)
% 167.34/167.66 Found x20:=(x2 x41):(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found (x2 x41) as proof of (cP X0)
% 167.34/167.66 Found (x2 x41) as proof of (cP X0)
% 167.34/167.66 Found x20:=(x2 x11):(cP X)
% 167.34/167.66 Instantiate: X0:=X:fofType
% 167.34/167.66 Found (x2 x11) as proof of (cP X0)
% 167.34/167.66 Found (x2 x11) as proof of (cP X0)
% 167.34/167.66 Found x50:=(x5 x11):(cP X0)
% 167.34/167.66 Found (x5 x11) as proof of (cP X0)
% 167.34/167.66 Found (x5 x11) as proof of (cP X0)
% 167.34/167.66 Found x50:=(x5 x41):(cP X0)
% 167.34/167.66 Found (x5 x41) as proof of (cP X0)
% 167.34/167.66 Found (x5 x41) as proof of (cP X0)
% 167.34/167.66 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 167.34/167.66 Found x50:=(x5 x41):(cP X0)
% 167.34/167.66 Found (x5 x41) as proof of (cP X0)
% 167.34/167.66 Found (x5 x41) as proof of (cP X0)
% 167.34/167.66 Found x50:=(x5 x41):(cP X0)
% 168.13/168.39 Instantiate: X:=X0:fofType
% 168.13/168.39 Found (x5 x41) as proof of (cP X)
% 168.13/168.39 Found (x5 x41) as proof of (cP X)
% 168.13/168.39 Found x20:=(x2 x41):(cP X)
% 168.13/168.39 Found (x2 x41) as proof of (cP X)
% 168.13/168.39 Found (x2 x41) as proof of (cP X)
% 168.13/168.39 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x20:(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found x20 as proof of (cP X0)
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x20:(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found x20 as proof of (cP X0)
% 168.13/168.39 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x20:=(x2 x40):(cP X)
% 168.13/168.39 Found (x2 x40) as proof of (cP X)
% 168.13/168.39 Found (x2 x40) as proof of (cP X)
% 168.13/168.39 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x20:=(x2 x40):(cP X)
% 168.13/168.39 Found (x2 x40) as proof of (cP X)
% 168.13/168.39 Found (x2 x40) as proof of (cP X)
% 168.13/168.39 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x20:=(x2 x11):(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found (x2 x11) as proof of (cP X0)
% 168.13/168.39 Found (x2 x11) as proof of (cP X0)
% 168.13/168.39 Found x50:=(x5 x11):(cP X0)
% 168.13/168.39 Found (x5 x11) as proof of (cP X0)
% 168.13/168.39 Found (x5 x11) as proof of (cP X0)
% 168.13/168.39 Found x20:=(x2 x40):(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found (x2 x40) as proof of (cP X0)
% 168.13/168.39 Found (x2 x40) as proof of (cP X0)
% 168.13/168.39 Found x20:=(x2 x11):(cP X)
% 168.13/168.39 Found (x2 x11) as proof of (cP X)
% 168.13/168.39 Found (x2 x11) as proof of (cP X)
% 168.13/168.39 Found x50:=(x5 x40):(cP X0)
% 168.13/168.39 Found (x5 x40) as proof of (cP X0)
% 168.13/168.39 Found (x5 x40) as proof of (cP X0)
% 168.13/168.39 Found x50:=(x5 x40):(cP X0)
% 168.13/168.39 Found (x5 x40) as proof of (cP X0)
% 168.13/168.39 Found (x5 x40) as proof of (cP X0)
% 168.13/168.39 Found x20:(cP X)
% 168.13/168.39 Found x20 as proof of (cP X)
% 168.13/168.39 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x21:(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found x21 as proof of (cP X0)
% 168.13/168.39 Found x21:(cP X)
% 168.13/168.39 Instantiate: X0:=X:fofType
% 168.13/168.39 Found x21 as proof of (cP X0)
% 168.13/168.39 Found x20:=(x2 x10):(cP X)
% 168.13/168.39 Found (x2 x10) as proof of (cP X0)
% 168.13/168.39 Found (x2 x10) as proof of (cP X0)
% 168.13/168.39 Found (x2 x10) as proof of (cP X0)
% 168.13/168.39 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 168.13/168.39 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x20:=(x2 x40):(cP X)
% 169.14/169.46 Found (x2 x40) as proof of (cP X)
% 169.14/169.46 Found (x2 x40) as proof of (cP X)
% 169.14/169.46 Found x21:(cP X)
% 169.14/169.46 Instantiate: X0:=X:fofType
% 169.14/169.46 Found x21 as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x21:(cP X)
% 169.14/169.46 Instantiate: X0:=X:fofType
% 169.14/169.46 Found x21 as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X)
% 169.14/169.46 Found x20:=(x2 x11):(cP X)
% 169.14/169.46 Instantiate: X0:=X:fofType
% 169.14/169.46 Found (x2 x11) as proof of (cP X0)
% 169.14/169.46 Found (x2 x11) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x11):(cP X)
% 169.14/169.46 Found (x2 x11) as proof of (cP X0)
% 169.14/169.46 Found (x2 x11) as proof of (cP X0)
% 169.14/169.46 Found (x2 x11) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x40):(cP X)
% 169.14/169.46 Instantiate: X0:=X:fofType
% 169.14/169.46 Found (x2 x40) as proof of (cP X0)
% 169.14/169.46 Found (x2 x40) as proof of (cP X0)
% 169.14/169.46 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x7:(cP x6)
% 169.14/169.46 Instantiate: X0:=x6:fofType
% 169.14/169.46 Found x7 as proof of (cP X0)
% 169.14/169.46 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 169.14/169.46 Found (x2 x40) as proof of (cP X0)
% 169.14/169.46 Found (x2 x40) as proof of (cP X0)
% 169.14/169.46 Found (x2 x40) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x40):(cP X)
% 169.14/169.46 Found (x2 x40) as proof of (cP X)
% 169.14/169.46 Found (x2 x40) as proof of (cP X)
% 169.14/169.46 Found x20:=(x2 x3):(cP X)
% 169.14/169.46 Found (x2 x3) as proof of (cP X0)
% 169.14/169.46 Found (x2 x3) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x11):(cP X)
% 169.14/169.46 Found (x2 x11) as proof of (cP X)
% 169.14/169.46 Found (x2 x11) as proof of (cP X)
% 169.14/169.46 Found x50:=(x5 x10):(cP X0)
% 169.14/169.46 Instantiate: X:=X0:fofType
% 169.14/169.46 Found (x5 x10) as proof of (cP X)
% 169.14/169.46 Found (x5 x10) as proof of (cP X)
% 169.14/169.46 Found x5:(cP x4)
% 169.14/169.46 Instantiate: X0:=x4:fofType
% 169.14/169.46 Found x5 as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X)
% 169.14/169.46 Found (x2 x10) as proof of (cP X)
% 169.14/169.46 Found x20:=(x2 x10):(cP X)
% 169.14/169.46 Instantiate: X0:=X:fofType
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found (x2 x10) as proof of (cP X0)
% 169.14/169.46 Found x20:=(x2 x3):(cP X)
% 169.14/169.46 Instantiate: X:=X0:fofType
% 169.14/169.46 Found (x2 x3) as proof of (cP X0)
% 169.14/169.46 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 169.14/169.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 169.14/169.46 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 169.14/169.46 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 169.14/169.46 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 169.14/169.46 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 169.14/169.46 Found x50:=(x5 x40):(cP X0)
% 170.04/170.36 Found (x5 x40) as proof of (cP X0)
% 170.04/170.36 Found (x5 x40) as proof of (cP X0)
% 170.04/170.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x50:=(x5 x10):(cP X0)
% 170.04/170.36 Found (x5 x10) as proof of (cP X0)
% 170.04/170.36 Found (x5 x10) as proof of (cP X0)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Instantiate: X0:=X:fofType
% 170.04/170.36 Found (x2 x11) as proof of (cP X0)
% 170.04/170.36 Found (x2 x11) as proof of (cP X0)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found x20:=(x2 x10):(cP X)
% 170.04/170.36 Found (x2 x10) as proof of (cP X)
% 170.04/170.36 Found (x2 x10) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found x50:=(x5 x40):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x40) as proof of (cP X)
% 170.04/170.36 Found (x5 x40) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x40):(cP X)
% 170.04/170.36 Found (x2 x40) as proof of (cP X)
% 170.04/170.36 Found (x2 x40) as proof of (cP X)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found x50:=(x5 x10):(cP X0)
% 170.04/170.36 Found (x5 x10) as proof of (cP X0)
% 170.04/170.36 Found (x5 x10) as proof of (cP X0)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Instantiate: X0:=X:fofType
% 170.04/170.36 Found (x2 x11) as proof of (cP X0)
% 170.04/170.36 Found (x2 x11) as proof of (cP X0)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found x50:=(x5 x40):(cP X0)
% 170.04/170.36 Found (x5 x40) as proof of (cP X0)
% 170.04/170.36 Found (x5 x40) as proof of (cP X0)
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found (x5 x11) as proof of (cP X)
% 170.04/170.36 Found x20:=(x2 x11):(cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found (x2 x11) as proof of (cP X)
% 170.04/170.36 Found x50:=(x5 x11):(cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found (x5 x11) as proof of (cP X0)
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 170.04/170.36 Found x50:=(x5 x40):(cP X0)
% 170.04/170.36 Instantiate: X:=X0:fofType
% 170.04/170.36 Found (x5 x40) as proof of (cP X)
% 170.04/170.36 Found (x5 x40) as proof of (cP X)
% 171.45/171.78 Found x50:=(x5 x11):(cP X0)
% 171.45/171.78 Instantiate: X:=X0:fofType
% 171.45/171.78 Found (x5 x11) as proof of (cP X)
% 171.45/171.78 Found (x5 x11) as proof of (cP X)
% 171.45/171.78 Found x20:=(x2 x11):(cP X)
% 171.45/171.78 Found (x2 x11) as proof of (cP X)
% 171.45/171.78 Found (x2 x11) as proof of (cP X)
% 171.45/171.78 Found x50:=(x5 x11):(cP X0)
% 171.45/171.78 Found (x5 x11) as proof of (cP X0)
% 171.45/171.78 Found (x5 x11) as proof of (cP X0)
% 171.45/171.78 Found x50:=(x5 x40):(cP X0)
% 171.45/171.78 Instantiate: X:=X0:fofType
% 171.45/171.78 Found (x5 x40) as proof of (cP X)
% 171.45/171.78 Found (x5 x40) as proof of (cP X)
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:=(x2 x40):(cP X)
% 171.45/171.78 Found (x2 x40) as proof of (cP X)
% 171.45/171.78 Found (x2 x40) as proof of (cP X)
% 171.45/171.78 Found x20:=(x2 x40):(cP X)
% 171.45/171.78 Found (x2 x40) as proof of (cP X)
% 171.45/171.78 Found (x2 x40) as proof of (cP X)
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:=(x2 x11):(cP X)
% 171.45/171.78 Instantiate: X0:=X:fofType
% 171.45/171.78 Found (x2 x11) as proof of (cP X0)
% 171.45/171.78 Found (x2 x11) as proof of (cP X0)
% 171.45/171.78 Found x50:=(x5 x11):(cP X0)
% 171.45/171.78 Found (x5 x11) as proof of (cP X0)
% 171.45/171.78 Found (x5 x11) as proof of (cP X0)
% 171.45/171.78 Found x50:=(x5 x40):(cP X0)
% 171.45/171.78 Found (x5 x40) as proof of (cP X0)
% 171.45/171.78 Found (x5 x40) as proof of (cP X0)
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:=(x2 x12):(cP X)
% 171.45/171.78 Found (x2 x12) as proof of (cP X)
% 171.45/171.78 Found (x2 x12) as proof of (cP X)
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x50:(cP X0)
% 171.45/171.78 Found x50 as proof of (cP X0)
% 171.45/171.78 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:(cP X)
% 171.45/171.78 Found x20 as proof of (cP X)
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:(cP X)
% 171.45/171.78 Instantiate: X0:=X:fofType
% 171.45/171.78 Found x20 as proof of (cP X0)
% 171.45/171.78 Found x50:(cP X0)
% 171.45/171.78 Instantiate: X:=X0:fofType
% 171.45/171.78 Found x50 as proof of (cP X)
% 171.45/171.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 171.45/171.78 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 171.45/171.78 Found x20:(cP X)
% 171.45/171.78 Found x20 as proof of (cP X)
% 171.45/171.78 Found x20:(cP X)
% 171.45/171.78 Instantiate: X0:=X:fofType
% 173.95/174.28 Found x20 as proof of (cP X0)
% 173.95/174.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x20:=(x2 x3):(cP X)
% 173.95/174.28 Instantiate: X:=X0:fofType
% 173.95/174.28 Found (x2 x3) as proof of (cP X0)
% 173.95/174.28 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 173.95/174.28 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 173.95/174.28 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 173.95/174.28 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 173.95/174.28 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 173.95/174.28 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x7:(cP x6)
% 173.95/174.28 Instantiate: X:=x6:fofType
% 173.95/174.28 Found x7 as proof of (cP X)
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x7:(cP x6)
% 173.95/174.28 Instantiate: X0:=x6:fofType
% 173.95/174.28 Found x7 as proof of (cP X0)
% 173.95/174.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x7:(cP x6)
% 173.95/174.28 Instantiate: X0:=x6:fofType
% 173.95/174.28 Found x7 as proof of (cP X0)
% 173.95/174.28 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x7:(cP x6)
% 173.95/174.28 Instantiate: X:=x6:fofType
% 173.95/174.28 Found x7 as proof of (cP X)
% 173.95/174.28 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x2 x3) as proof of (cP X0)
% 173.95/174.28 Found (x2 x3) as proof of (cP X0)
% 173.95/174.28 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found (x2 x11) as proof of (cP X0)
% 173.95/174.28 Found x40:=(x4 x30):(cP X0)
% 173.95/174.28 Found (x4 x30) as proof of (cP X0)
% 173.95/174.28 Found (x4 x30) as proof of (cP X0)
% 173.95/174.28 Found x40:=(x4 x31):(cP X0)
% 173.95/174.28 Instantiate: X:=X0:fofType
% 173.95/174.28 Found (x4 x31) as proof of (cP X)
% 173.95/174.28 Found (x4 x31) as proof of (cP X)
% 173.95/174.28 Found x40:=(x4 x31):(cP X0)
% 173.95/174.28 Found (x4 x31) as proof of (cP X)
% 173.95/174.28 Found (x4 x31) as proof of (cP X)
% 173.95/174.28 Found (x4 x31) as proof of (cP X)
% 176.33/176.68 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found (x2 x3) as proof of (cP X0)
% 176.33/176.68 Found (x2 x3) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x12):(cP X)
% 176.33/176.68 Found (x2 x12) as proof of (cP X)
% 176.33/176.68 Found (x2 x12) as proof of (cP X)
% 176.33/176.68 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Found x20 as proof of (cP X)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found (x4 x30) as proof of (cP X)
% 176.33/176.68 Found (x4 x30) as proof of (cP X)
% 176.33/176.68 Found (x4 x30) as proof of (cP X)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x6:(cP x5)
% 176.33/176.68 Instantiate: X0:=x5:fofType
% 176.33/176.68 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 176.33/176.68 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x7:(cP x6)
% 176.33/176.68 Instantiate: X:=x6:fofType
% 176.33/176.68 Found x7 as proof of (cP X)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Found x20 as proof of (cP X)
% 176.33/176.68 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x6:(cP x5)
% 176.33/176.68 Instantiate: X0:=x5:fofType
% 176.33/176.68 Found x6 as proof of (cP X0)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Found x20 as proof of (cP X)
% 176.33/176.68 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Found x20 as proof of (cP X)
% 176.33/176.68 Found x20:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x20 as proof of (cP X0)
% 176.33/176.68 Found x21:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x21 as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x10):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x10) as proof of (cP X0)
% 176.33/176.68 Found (x2 x10) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x10):(cP X)
% 176.33/176.68 Found (x2 x10) as proof of (cP X)
% 176.33/176.68 Found (x2 x10) as proof of (cP X)
% 176.33/176.68 Found x20:=(x2 x11):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found x21:(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found x21 as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x41):(cP X)
% 176.33/176.68 Found (x2 x41) as proof of (cP X)
% 176.33/176.68 Found (x2 x41) as proof of (cP X)
% 176.33/176.68 Found x20:=(x2 x11):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found x50:=(x5 x11):(cP X0)
% 176.33/176.68 Found (x5 x11) as proof of (cP X0)
% 176.33/176.68 Found (x5 x11) as proof of (cP X0)
% 176.33/176.68 Found x50:=(x5 x10):(cP X0)
% 176.33/176.68 Found (x5 x10) as proof of (cP X0)
% 176.33/176.68 Found (x5 x10) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x40):(cP X)
% 176.33/176.68 Found (x2 x40) as proof of (cP X)
% 176.33/176.68 Found (x2 x40) as proof of (cP X)
% 176.33/176.68 Found x20:=(x2 x10):(cP X)
% 176.33/176.68 Found (x2 x10) as proof of (cP X)
% 176.33/176.68 Found (x2 x10) as proof of (cP X)
% 176.33/176.68 Found x20:=(x2 x11):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found (x2 x11) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x40):(cP X)
% 176.33/176.68 Found (x2 x40) as proof of (cP X)
% 176.33/176.68 Found (x2 x40) as proof of (cP X)
% 176.33/176.68 Found x20:=(x2 x10):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x10) as proof of (cP X0)
% 176.33/176.68 Found (x2 x10) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x40):(cP X)
% 176.33/176.68 Instantiate: X0:=X:fofType
% 176.33/176.68 Found (x2 x40) as proof of (cP X0)
% 176.33/176.68 Found (x2 x40) as proof of (cP X0)
% 176.33/176.68 Found x20:=(x2 x41):(cP X)
% 176.33/176.68 Found (x2 x41) as proof of (cP X)
% 177.45/177.82 Found (x2 x41) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x50:=(x5 x41):(cP X0)
% 177.45/177.82 Found (x5 x41) as proof of (cP X0)
% 177.45/177.82 Found (x5 x41) as proof of (cP X0)
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found (x2 x40) as proof of (cP X0)
% 177.45/177.82 Found (x2 x40) as proof of (cP X0)
% 177.45/177.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found x50:=(x5 x11):(cP X0)
% 177.45/177.82 Instantiate: X:=X0:fofType
% 177.45/177.82 Found (x5 x11) as proof of (cP X)
% 177.45/177.82 Found (x5 x11) as proof of (cP X)
% 177.45/177.82 Found x50:=(x5 x40):(cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found x50:=(x5 x11):(cP X0)
% 177.45/177.82 Instantiate: X:=X0:fofType
% 177.45/177.82 Found (x5 x11) as proof of (cP X)
% 177.45/177.82 Found (x5 x11) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x11):(cP X)
% 177.45/177.82 Found (x2 x11) as proof of (cP X)
% 177.45/177.82 Found (x2 x11) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x11):(cP X)
% 177.45/177.82 Found (x2 x11) as proof of (cP X)
% 177.45/177.82 Found (x2 x11) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x11):(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found (x2 x11) as proof of (cP X0)
% 177.45/177.82 Found (x2 x11) as proof of (cP X0)
% 177.45/177.82 Found x50:=(x5 x11):(cP X0)
% 177.45/177.82 Found (x5 x11) as proof of (cP X0)
% 177.45/177.82 Found (x5 x11) as proof of (cP X0)
% 177.45/177.82 Found x50:=(x5 x10):(cP X0)
% 177.45/177.82 Instantiate: X:=X0:fofType
% 177.45/177.82 Found (x5 x10) as proof of (cP X)
% 177.45/177.82 Found (x5 x10) as proof of (cP X)
% 177.45/177.82 Found x50:=(x5 x40):(cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found x20:=(x2 x10):(cP X)
% 177.45/177.82 Found (x2 x10) as proof of (cP X)
% 177.45/177.82 Found (x2 x10) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x41):(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found (x2 x41) as proof of (cP X0)
% 177.45/177.82 Found (x2 x41) as proof of (cP X0)
% 177.45/177.82 Found x20:(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found x20 as proof of (cP X0)
% 177.45/177.82 Found x20:=(x2 x3):(cP X)
% 177.45/177.82 Found (x2 x3) as proof of (cP X0)
% 177.45/177.82 Found (x2 x3) as proof of (cP X0)
% 177.45/177.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x20:(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found x20 as proof of (cP X0)
% 177.45/177.82 Found x50:=(x5 x40):(cP X0)
% 177.45/177.82 Instantiate: X:=X0:fofType
% 177.45/177.82 Found (x5 x40) as proof of (cP X)
% 177.45/177.82 Found (x5 x40) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found (x2 x40) as proof of (cP X0)
% 177.45/177.82 Found (x2 x40) as proof of (cP X0)
% 177.45/177.82 Found x20:=(x2 x10):(cP X)
% 177.45/177.82 Found (x2 x10) as proof of (cP X0)
% 177.45/177.82 Found (x2 x10) as proof of (cP X0)
% 177.45/177.82 Found (x2 x10) as proof of (cP X0)
% 177.45/177.82 Found x7:(cP x6)
% 177.45/177.82 Instantiate: X0:=x6:fofType
% 177.45/177.82 Found x7 as proof of (cP X0)
% 177.45/177.82 Found x7:(cP x6)
% 177.45/177.82 Instantiate: X0:=x6:fofType
% 177.45/177.82 Found x7 as proof of (cP X0)
% 177.45/177.82 Found x7:(cP x6)
% 177.45/177.82 Instantiate: X:=x6:fofType
% 177.45/177.82 Found x7 as proof of (cP X)
% 177.45/177.82 Found x50:=(x5 x40):(cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found (x5 x40) as proof of (cP X0)
% 177.45/177.82 Found x50:=(x5 x41):(cP X0)
% 177.45/177.82 Found (x5 x41) as proof of (cP X0)
% 177.45/177.82 Found (x5 x41) as proof of (cP X0)
% 177.45/177.82 Found x20:=(x2 x40):(cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found (x2 x40) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x41):(cP X)
% 177.45/177.82 Found (x2 x41) as proof of (cP X)
% 177.45/177.82 Found (x2 x41) as proof of (cP X)
% 177.45/177.82 Found x20:=(x2 x11):(cP X)
% 177.45/177.82 Instantiate: X0:=X:fofType
% 177.45/177.82 Found (x2 x11) as proof of (cP X0)
% 179.73/180.04 Found (x2 x11) as proof of (cP X0)
% 179.73/180.04 Found x50:=(x5 x11):(cP X0)
% 179.73/180.04 Found (x5 x11) as proof of (cP X0)
% 179.73/180.04 Found (x5 x11) as proof of (cP X0)
% 179.73/180.04 Found x50:=(x5 x11):(cP X0)
% 179.73/180.04 Instantiate: X:=X0:fofType
% 179.73/180.04 Found (x5 x11) as proof of (cP X)
% 179.73/180.04 Found (x5 x11) as proof of (cP X)
% 179.73/180.04 Found x20:=(x2 x11):(cP X)
% 179.73/180.04 Found (x2 x11) as proof of (cP X)
% 179.73/180.04 Found (x2 x11) as proof of (cP X)
% 179.73/180.04 Found x50:=(x5 x40):(cP X0)
% 179.73/180.04 Instantiate: X:=X0:fofType
% 179.73/180.04 Found (x5 x40) as proof of (cP X)
% 179.73/180.04 Found (x5 x40) as proof of (cP X)
% 179.73/180.04 Found x20:=(x2 x40):(cP X)
% 179.73/180.04 Instantiate: X0:=X:fofType
% 179.73/180.04 Found (x2 x40) as proof of (cP X0)
% 179.73/180.04 Found (x2 x40) as proof of (cP X0)
% 179.73/180.04 Found x50:=(x5 x40):(cP X0)
% 179.73/180.04 Found (x5 x40) as proof of (cP X0)
% 179.73/180.04 Found (x5 x40) as proof of (cP X0)
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Instantiate: X0:=X:fofType
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found x50:=(x5 x10):(cP X0)
% 179.73/180.04 Found (x5 x10) as proof of (cP X0)
% 179.73/180.04 Found (x5 x10) as proof of (cP X0)
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found x20:=(x2 x40):(cP X)
% 179.73/180.04 Found (x2 x40) as proof of (cP X)
% 179.73/180.04 Found (x2 x40) as proof of (cP X)
% 179.73/180.04 Found x20:(cP X)
% 179.73/180.04 Instantiate: X0:=X:fofType
% 179.73/180.04 Found x20 as proof of (cP X0)
% 179.73/180.04 Found x7:(cP x6)
% 179.73/180.04 Instantiate: X:=x6:fofType
% 179.73/180.04 Found x7 as proof of (cP X)
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X)
% 179.73/180.04 Found x6:(cP x5)
% 179.73/180.04 Instantiate: X0:=x5:fofType
% 179.73/180.04 Found x6 as proof of (cP X0)
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 179.73/180.04 Found x20:(cP X)
% 179.73/180.04 Found x20 as proof of (cP X0)
% 179.73/180.04 Found x20:(cP X)
% 179.73/180.04 Instantiate: X:=X0:fofType
% 179.73/180.04 Found x20 as proof of (cP X0)
% 179.73/180.04 Found x6:(cP x5)
% 179.73/180.04 Instantiate: X0:=x5:fofType
% 179.73/180.04 Found x6 as proof of (cP X0)
% 179.73/180.04 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X)
% 179.73/180.04 Found x20:=(x2 x11):(cP X)
% 179.73/180.04 Instantiate: x3:=X:fofType
% 179.73/180.04 Found (x2 x11) as proof of (cP x3)
% 179.73/180.04 Found (x2 x11) as proof of (cP x3)
% 179.73/180.04 Found x4:(cP x3)
% 179.73/180.04 Instantiate: X:=x3:fofType
% 179.73/180.04 Found x4 as proof of (cP X)
% 179.73/180.04 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 179.73/180.04 Found x20:=(x2 x10):(cP X)
% 179.73/180.04 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP x3)
% 182.12/182.48 Found (x2 x10) as proof of (cP x3)
% 182.12/182.48 Found (x2 x10) as proof of (cP x3)
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x21:(cP X)
% 182.12/182.48 Instantiate: X0:=X:fofType
% 182.12/182.48 Found x21 as proof of (cP X0)
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x50:=(x5 x40):(cP X0)
% 182.12/182.48 Found (x5 x40) as proof of (cP X0)
% 182.12/182.48 Found (x5 x40) as proof of (cP X0)
% 182.12/182.48 Found x50:=(x5 x10):(cP X0)
% 182.12/182.48 Found (x5 x10) as proof of (cP X0)
% 182.12/182.48 Found (x5 x10) as proof of (cP X0)
% 182.12/182.48 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x20:(cP X)
% 182.12/182.48 Instantiate: X0:=X:fofType
% 182.12/182.48 Found x20 as proof of (cP X0)
% 182.12/182.48 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x50:=(x5 x40):(cP X0)
% 182.12/182.48 Instantiate: X:=X0:fofType
% 182.12/182.48 Found (x5 x40) as proof of (cP X)
% 182.12/182.48 Found (x5 x40) as proof of (cP X)
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found (x2 x10) as proof of (cP X0)
% 182.12/182.48 Found x21:(cP X)
% 182.12/182.48 Instantiate: X0:=X:fofType
% 182.12/182.48 Found x21 as proof of (cP X0)
% 182.12/182.48 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x50:=(x5 x10):(cP X0)
% 182.12/182.48 Instantiate: X:=X0:fofType
% 182.12/182.48 Found (x5 x10) as proof of (cP X)
% 182.12/182.48 Found (x5 x10) as proof of (cP X)
% 182.12/182.48 Found x20:=(x2 x10):(cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X)
% 182.12/182.48 Found (x2 x10) as proof of (cP X)
% 182.12/182.48 Found x20:=(x2 x40):(cP X)
% 182.12/182.48 Found (x2 x40) as proof of (cP X)
% 182.12/182.48 Found (x2 x40) as proof of (cP X)
% 182.12/182.48 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x7:(cP x6)
% 182.12/182.48 Instantiate: X0:=x6:fofType
% 182.12/182.48 Found x7 as proof of (cP X0)
% 182.12/182.48 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 182.12/182.48 Found x21:(cP X)
% 182.12/182.48 Instantiate: X0:=X:fofType
% 182.12/182.48 Found x21 as proof of (cP X0)
% 182.12/182.48 Found x50:=(x5 x40):(cP X0)
% 182.12/182.48 Instantiate: X:=X0:fofType
% 182.12/182.48 Found (x5 x40) as proof of (cP X)
% 182.12/182.48 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of (cP X)
% 182.12/182.48 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x5 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 182.12/182.48 Found x20:=(x2 x40):(cP X)
% 182.12/182.48 Found (x2 x40) as proof of (cP X)
% 182.12/182.48 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 182.12/182.48 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 182.12/182.48 Found x20:=(x2 x3):(cP X)
% 182.12/182.48 Instantiate: X:=X0:fofType
% 182.12/182.48 Found (x2 x3) as proof of (cP X0)
% 182.12/182.48 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 182.12/182.48 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 182.12/182.48 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 183.61/183.96 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x20:(cP X)
% 183.61/183.96 Instantiate: X0:=X:fofType
% 183.61/183.96 Found x20 as proof of (cP X0)
% 183.61/183.96 Found x20:(cP X)
% 183.61/183.96 Found x20 as proof of (cP X)
% 183.61/183.96 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x20:=(x2 x10):(cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found x20:=(x2 x10):(cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x2 x11) as proof of (cP X0)
% 183.61/183.96 Found (x2 x11) as proof of (cP X0)
% 183.61/183.96 Found (x2 x11) as proof of (cP X0)
% 183.61/183.96 Found x20:=(x2 x3):(cP X)
% 183.61/183.96 Instantiate: X:=X0:fofType
% 183.61/183.96 Found (x2 x3) as proof of (cP X0)
% 183.61/183.96 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 183.61/183.96 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 183.61/183.96 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 183.61/183.96 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 183.61/183.96 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x20:=(x2 x10):(cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found (x2 x10) as proof of (cP X)
% 183.61/183.96 Found x10:=(x1 x23):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x7:(cP x6)
% 183.61/183.96 Instantiate: X0:=x6:fofType
% 183.61/183.96 Found x7 as proof of (cP X0)
% 183.61/183.96 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 183.61/183.96 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found x7:(cP x6)
% 183.61/183.96 Instantiate: X0:=x6:fofType
% 183.61/183.96 Found x7 as proof of (cP X0)
% 183.61/183.96 Found x20:=(x2 x13):(cP X)
% 183.61/183.96 Found (x2 x13) as proof of (cP X)
% 183.61/183.96 Found (x2 x13) as proof of (cP X)
% 183.61/183.96 Found x50:=(x5 x40):(cP X0)
% 183.61/183.96 Instantiate: X:=X0:fofType
% 183.61/183.96 Found (x5 x40) as proof of (cP X)
% 183.61/183.96 Found (x5 x40) as proof of (cP X)
% 183.61/183.96 Found x20:=(x2 x40):(cP X)
% 183.61/183.96 Found (x2 x40) as proof of (cP X)
% 183.61/183.96 Found (x2 x40) as proof of (cP X)
% 183.61/183.96 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 183.61/183.96 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x20:=(x2 x3):(cP X)
% 186.32/186.62 Found (x2 x3) as proof of (cP X0)
% 186.32/186.62 Found (x2 x3) as proof of (cP X0)
% 186.32/186.62 Found x5:(cP x4)
% 186.32/186.62 Instantiate: X0:=x4:fofType
% 186.32/186.62 Found x5 as proof of (cP X0)
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x5:(cP x4)
% 186.32/186.62 Instantiate: X0:=x4:fofType
% 186.32/186.62 Found x5 as proof of (cP X0)
% 186.32/186.62 Found x20:=(x2 x11):(cP X)
% 186.32/186.62 Found (x2 x11) as proof of (cP X)
% 186.32/186.62 Found (x2 x11) as proof of (cP X)
% 186.32/186.62 Found x20:=(x2 x11):(cP X)
% 186.32/186.62 Found (x2 x11) as proof of (cP X)
% 186.32/186.62 Found (x2 x11) as proof of (cP X)
% 186.32/186.62 Found x20:=(x2 x10):(cP X)
% 186.32/186.62 Found (x2 x10) as proof of (cP X)
% 186.32/186.62 Found (x2 x10) as proof of (cP X)
% 186.32/186.62 Found x20:=(x2 x6):(cP X)
% 186.32/186.62 Instantiate: X:=X1:fofType
% 186.32/186.62 Found (x2 x6) as proof of (cP X1)
% 186.32/186.62 Found (fun (x8:(cP x7))=> (x2 x6)) as proof of (cP X1)
% 186.32/186.62 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of ((cP x7)->(cP X1))
% 186.32/186.62 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 186.32/186.62 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 186.32/186.62 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 186.32/186.62 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x20:(cP X)
% 186.32/186.62 Instantiate: X0:=X:fofType
% 186.32/186.62 Found x20 as proof of (cP X0)
% 186.32/186.62 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x20:(cP X)
% 186.32/186.62 Instantiate: X0:=X:fofType
% 186.32/186.62 Found x20 as proof of (cP X0)
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x20:(cP X)
% 186.32/186.62 Instantiate: X0:=X:fofType
% 186.32/186.62 Found x20 as proof of (cP X0)
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x20:=(x2 x10):(cP X)
% 186.32/186.62 Found (x2 x10) as proof of (cP X)
% 186.32/186.62 Found (x2 x10) as proof of (cP X)
% 186.32/186.62 Found x20:=(x2 x12):(cP X)
% 186.32/186.62 Found (x2 x12) as proof of (cP X)
% 186.32/186.62 Found (x2 x12) as proof of (cP X)
% 186.32/186.62 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x4 x30) as proof of (cP X)
% 186.32/186.62 Found (x4 x30) as proof of (cP X)
% 186.32/186.62 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 186.32/186.62 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 186.32/186.62 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 186.32/186.62 Found (x2 x10) as proof of (cP X0)
% 186.32/186.62 Found (x2 x10) as proof of (cP X0)
% 186.32/186.62 Found (x2 x10) as proof of (cP X0)
% 186.32/186.62 Found x40:=(x4 x31):(cP X0)
% 186.32/186.62 Instantiate: X:=X0:fofType
% 186.32/186.62 Found (x4 x31) as proof of (cP X)
% 186.32/186.62 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x31)) as proof of (cP X)
% 186.32/186.62 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x31)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 186.32/186.62 Found x20:(cP X)
% 186.32/186.62 Instantiate: X0:=X:fofType
% 186.32/186.62 Found x20 as proof of (cP X0)
% 188.34/188.64 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Found x20 as proof of (cP X)
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Instantiate: X0:=X:fofType
% 188.34/188.64 Found x20 as proof of (cP X0)
% 188.34/188.64 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (x2 x10) as proof of (cP X0)
% 188.34/188.64 Found (x2 x10) as proof of (cP X0)
% 188.34/188.64 Found (x2 x10) as proof of (cP X0)
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Found x20 as proof of (cP X)
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x20:=(x2 x3):(cP X)
% 188.34/188.64 Found (x2 x3) as proof of (cP X0)
% 188.34/188.64 Found (x2 x3) as proof of (cP X0)
% 188.34/188.64 Found x20:=(x2 x12):(cP X)
% 188.34/188.64 Found (x2 x12) as proof of (cP X)
% 188.34/188.64 Found (x2 x12) as proof of (cP X)
% 188.34/188.64 Found x20:=(x2 x12):(cP X)
% 188.34/188.64 Found (x2 x12) as proof of (cP X)
% 188.34/188.64 Found (x2 x12) as proof of (cP X)
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Found x20 as proof of (cP X0)
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Found x20 as proof of (cP X0)
% 188.34/188.64 Found x20:(cP X)
% 188.34/188.64 Found x20 as proof of (cP X0)
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x50:=(x5 x40):(cP X0)
% 188.34/188.64 Found (x5 x40) as proof of (cP X0)
% 188.34/188.64 Found (x5 x40) as proof of (cP X0)
% 188.34/188.64 Found x21:(cP X)
% 188.34/188.64 Instantiate: X0:=X:fofType
% 188.34/188.64 Found x21 as proof of (cP X0)
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x20:=(x2 x11):(cP X)
% 188.34/188.64 Instantiate: X0:=X:fofType
% 188.34/188.64 Found (x2 x11) as proof of (cP X0)
% 188.34/188.64 Found (x2 x11) as proof of (cP X0)
% 188.34/188.64 Found x50:=(x5 x11):(cP X0)
% 188.34/188.64 Found (x5 x11) as proof of (cP X0)
% 188.34/188.64 Found (x5 x11) as proof of (cP X0)
% 188.34/188.64 Found x20:=(x2 x11):(cP X)
% 188.34/188.64 Found (x2 x11) as proof of (cP X)
% 188.34/188.64 Found (x2 x11) as proof of (cP X)
% 188.34/188.64 Found x20:=(x2 x11):(cP X)
% 188.34/188.64 Instantiate: X0:=X:fofType
% 188.34/188.64 Found (x2 x11) as proof of (cP X0)
% 188.34/188.64 Found (x2 x11) as proof of (cP X0)
% 188.34/188.64 Found x50:=(x5 x11):(cP X0)
% 188.34/188.64 Found (x5 x11) as proof of (cP X0)
% 188.34/188.64 Found (x5 x11) as proof of (cP X0)
% 188.34/188.64 Found x20:=(x2 x40):(cP X)
% 188.34/188.64 Found (x2 x40) as proof of (cP X)
% 188.34/188.64 Found (x2 x40) as proof of (cP X)
% 188.34/188.64 Found x20:=(x2 x40):(cP X)
% 188.34/188.64 Instantiate: X0:=X:fofType
% 188.34/188.64 Found (x2 x40) as proof of (cP X0)
% 188.34/188.64 Found (x2 x40) as proof of (cP X0)
% 188.34/188.64 Found x20:=(x2 x3):(cP X)
% 188.34/188.64 Found (x2 x3) as proof of (cP X0)
% 188.34/188.64 Found (x2 x3) as proof of (cP X0)
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 188.34/188.64 Found x50:=(x5 x6):(cP X0)
% 188.34/188.64 Instantiate: X0:=X1:fofType
% 188.34/188.64 Found (x5 x6) as proof of (cP X1)
% 189.60/189.93 Found (fun (x8:(cP x7))=> (x5 x6)) as proof of (cP X1)
% 189.60/189.93 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x6)) as proof of ((cP x7)->(cP X1))
% 189.60/189.93 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 189.60/189.93 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 189.60/189.93 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 189.60/189.93 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x7:(cP x6)
% 189.60/189.93 Instantiate: X:=x6:fofType
% 189.60/189.93 Found x7 as proof of (cP X)
% 189.60/189.93 Found x7:(cP x6)
% 189.60/189.93 Instantiate: X0:=x6:fofType
% 189.60/189.93 Found x7 as proof of (cP X0)
% 189.60/189.93 Found x7:(cP x6)
% 189.60/189.93 Instantiate: X:=x6:fofType
% 189.60/189.93 Found x7 as proof of (cP X)
% 189.60/189.93 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x50:=(x5 x11):(cP X0)
% 189.60/189.93 Instantiate: X:=X0:fofType
% 189.60/189.93 Found (x5 x11) as proof of (cP X)
% 189.60/189.93 Found (x5 x11) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x11):(cP X)
% 189.60/189.93 Found (x2 x11) as proof of (cP X)
% 189.60/189.93 Found (x2 x11) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x40):(cP X)
% 189.60/189.93 Found (x2 x40) as proof of (cP X)
% 189.60/189.93 Found (x2 x40) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x11):(cP X)
% 189.60/189.93 Instantiate: X0:=X:fofType
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found x20:=(x2 x12):(cP X)
% 189.60/189.93 Found (x2 x12) as proof of (cP X)
% 189.60/189.93 Found (x2 x12) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x11):(cP X)
% 189.60/189.93 Found (x2 x11) as proof of (cP X)
% 189.60/189.93 Found (x2 x11) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x10):(cP X)
% 189.60/189.93 Found (x2 x10) as proof of (cP X)
% 189.60/189.93 Found (x2 x10) as proof of (cP X)
% 189.60/189.93 Found x20:=(x2 x11):(cP X)
% 189.60/189.93 Instantiate: X0:=X:fofType
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found x7:(cP x6)
% 189.60/189.93 Instantiate: X0:=x6:fofType
% 189.60/189.93 Found x7 as proof of (cP X0)
% 189.60/189.93 Found x50:=(x5 x11):(cP X0)
% 189.60/189.93 Found (x5 x11) as proof of (cP X0)
% 189.60/189.93 Found (x5 x11) as proof of (cP X0)
% 189.60/189.93 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x21:(cP X)
% 189.60/189.93 Instantiate: X:=X0:fofType
% 189.60/189.93 Found x21 as proof of (cP X0)
% 189.60/189.93 Found x20:(cP X)
% 189.60/189.93 Found x20 as proof of (cP X)
% 189.60/189.93 Found x20:(cP X)
% 189.60/189.93 Found x20 as proof of (cP X0)
% 189.60/189.93 Found x20 as proof of (cP X0)
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found x20:(cP X)
% 189.60/189.93 Instantiate: X0:=X:fofType
% 189.60/189.93 Found x20 as proof of (cP X0)
% 189.60/189.93 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 189.60/189.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 189.60/189.93 Found x20:=(x2 x11):(cP X)
% 189.60/189.93 Instantiate: X0:=X:fofType
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 189.60/189.93 Found (x2 x11) as proof of (cP X0)
% 192.01/192.35 Found x20:=(x2 x40):(cP X)
% 192.01/192.35 Found (x2 x40) as proof of (cP X)
% 192.01/192.35 Found (x2 x40) as proof of (cP X)
% 192.01/192.35 Found x50:=(x5 x11):(cP X0)
% 192.01/192.35 Found (x5 x11) as proof of (cP X0)
% 192.01/192.35 Found (x5 x11) as proof of (cP X0)
% 192.01/192.35 Found x20:=(x2 x40):(cP X)
% 192.01/192.35 Instantiate: X0:=X:fofType
% 192.01/192.35 Found (x2 x40) as proof of (cP X0)
% 192.01/192.35 Found (x2 x40) as proof of (cP X0)
% 192.01/192.35 Found x50:=(x5 x40):(cP X0)
% 192.01/192.35 Found (x5 x40) as proof of (cP X0)
% 192.01/192.35 Found (x5 x40) as proof of (cP X0)
% 192.01/192.35 Found x50:=(x5 x11):(cP X0)
% 192.01/192.35 Instantiate: X:=X0:fofType
% 192.01/192.35 Found (x5 x11) as proof of (cP X)
% 192.01/192.35 Found (x5 x11) as proof of (cP X)
% 192.01/192.35 Found x20:=(x2 x11):(cP X)
% 192.01/192.35 Found (x2 x11) as proof of (cP X)
% 192.01/192.35 Found (x2 x11) as proof of (cP X)
% 192.01/192.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x20:=(x2 x10):(cP X)
% 192.01/192.35 Found (x2 x10) as proof of (cP X0)
% 192.01/192.35 Found (x2 x10) as proof of (cP X0)
% 192.01/192.35 Found (x2 x10) as proof of (cP X0)
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x6:(cP x5)
% 192.01/192.35 Instantiate: X0:=x5:fofType
% 192.01/192.35 Found x6 as proof of (cP X0)
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x6:(cP x5)
% 192.01/192.35 Instantiate: X0:=x5:fofType
% 192.01/192.35 Found x6 as proof of (cP X0)
% 192.01/192.35 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x2 x3) as proof of (cP X0)
% 192.01/192.35 Found (x2 x3) as proof of (cP X0)
% 192.01/192.35 Found x20:(cP X)
% 192.01/192.35 Found x20 as proof of (cP X0)
% 192.01/192.35 Found x20:(cP X)
% 192.01/192.35 Found x20 as proof of (cP X0)
% 192.01/192.35 Found x20:(cP X)
% 192.01/192.35 Found x20 as proof of (cP X0)
% 192.01/192.35 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x20:(cP X)
% 192.01/192.35 Instantiate: X0:=X:fofType
% 192.01/192.35 Found x20 as proof of (cP X0)
% 192.01/192.35 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.01/192.35 Found x20:=(x2 x41):(cP X)
% 192.01/192.35 Instantiate: X0:=X:fofType
% 192.01/192.35 Found (x2 x41) as proof of (cP X0)
% 192.01/192.35 Found (x2 x41) as proof of (cP X0)
% 192.01/192.35 Found x7:(cP x6)
% 192.01/192.35 Instantiate: X0:=x6:fofType
% 192.01/192.35 Found x7 as proof of (cP X0)
% 192.01/192.35 Found x7:(cP x6)
% 192.01/192.35 Instantiate: X:=x6:fofType
% 192.01/192.35 Found x7 as proof of (cP X)
% 192.01/192.35 Found x50:=(x5 x10):(cP X0)
% 192.01/192.35 Found (x5 x10) as proof of (cP X0)
% 192.01/192.35 Found (x5 x10) as proof of (cP X0)
% 192.01/192.35 Found x50:=(x5 x10):(cP X0)
% 192.01/192.35 Instantiate: X:=X0:fofType
% 192.74/193.05 Found (x5 x10) as proof of (cP X)
% 192.74/193.05 Found (x5 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x10) as proof of (cP X0)
% 192.74/193.05 Found (x2 x10) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x41):(cP X)
% 192.74/193.05 Found (x2 x41) as proof of (cP X)
% 192.74/193.05 Found (x2 x41) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x11):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x11):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x6):(cP X)
% 192.74/193.05 Instantiate: X:=X1:fofType
% 192.74/193.05 Found (x2 x6) as proof of (cP X1)
% 192.74/193.05 Found (fun (x8:(cP x7))=> (x2 x6)) as proof of (cP X1)
% 192.74/193.05 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of ((cP x7)->(cP X1))
% 192.74/193.05 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 192.74/193.05 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 192.74/193.05 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 192.74/193.05 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x11):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found x20:(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found x20 as proof of (cP X0)
% 192.74/193.05 Found x20:(cP X)
% 192.74/193.05 Found x20 as proof of (cP X)
% 192.74/193.05 Found x20:(cP X)
% 192.74/193.05 Found x20 as proof of (cP X0)
% 192.74/193.05 Found x20 as proof of (cP X0)
% 192.74/193.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x21:(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found x21 as proof of (cP X0)
% 192.74/193.05 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found x21:(cP X)
% 192.74/193.05 Instantiate: X:=X0:fofType
% 192.74/193.05 Found x21 as proof of (cP X0)
% 192.74/193.05 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x40) as proof of (cP X0)
% 192.74/193.05 Found (x2 x40) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x40) as proof of (cP X0)
% 192.74/193.05 Found (x2 x40) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x41):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x41) as proof of (cP X0)
% 192.74/193.05 Found (x2 x41) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x41):(cP X)
% 192.74/193.05 Found (x2 x41) as proof of (cP X)
% 192.74/193.05 Found (x2 x41) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found (x2 x10) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x11):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found (x2 x11) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x40):(cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found (x2 x40) as proof of (cP X)
% 192.74/193.05 Found x20:=(x2 x10):(cP X)
% 192.74/193.05 Instantiate: X0:=X:fofType
% 192.74/193.05 Found (x2 x10) as proof of (cP X0)
% 192.74/193.05 Found (x2 x10) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x3):(cP X)
% 192.74/193.05 Instantiate: X:=X0:fofType
% 192.74/193.05 Found (x2 x3) as proof of (cP X0)
% 192.74/193.05 Found x20:=(x2 x3):(cP X)
% 192.74/193.05 Instantiate: X:=X0:fofType
% 192.74/193.05 Found (x2 x3) as proof of (cP X0)
% 192.74/193.05 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 192.74/193.05 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 192.74/193.05 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 192.74/193.05 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x3):(cP X)
% 194.49/194.79 Instantiate: X:=X0:fofType
% 194.49/194.79 Found (x2 x3) as proof of (cP X0)
% 194.49/194.79 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 194.49/194.79 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 194.49/194.79 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 194.49/194.79 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x3):(cP X)
% 194.49/194.79 Instantiate: X:=X0:fofType
% 194.49/194.79 Found (x2 x3) as proof of (cP X0)
% 194.49/194.79 Found x20:(cP X)
% 194.49/194.79 Instantiate: X0:=X:fofType
% 194.49/194.79 Found x20 as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x3):(cP X)
% 194.49/194.79 Instantiate: X:=X0:fofType
% 194.49/194.79 Found (x2 x3) as proof of (cP X0)
% 194.49/194.79 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 194.49/194.79 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 194.49/194.79 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 194.49/194.79 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 194.49/194.79 Found x20:(cP X)
% 194.49/194.79 Instantiate: X0:=X:fofType
% 194.49/194.79 Found x20 as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x31:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 194.49/194.79 Found x31 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 194.49/194.79 Found (x4 x31) as proof of (cP X)
% 194.49/194.79 Found (x4 x31) as proof of (cP X)
% 194.49/194.79 Found (x4 x31) as proof of (cP X)
% 194.49/194.79 Found x50:(cP X0)
% 194.49/194.79 Instantiate: X:=X0:fofType
% 194.49/194.79 Found x50 as proof of (cP X)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found (x2 x10) as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found x20:(cP X)
% 194.49/194.79 Instantiate: X0:=X:fofType
% 194.49/194.79 Found x20 as proof of (cP X0)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found x20:=(x2 x11):(cP X)
% 194.49/194.79 Instantiate: x3:=X:fofType
% 194.49/194.79 Found (x2 x11) as proof of (cP x3)
% 194.49/194.79 Found (x2 x11) as proof of (cP x3)
% 194.49/194.79 Found x4:(cP x3)
% 194.49/194.79 Instantiate: X:=x3:fofType
% 194.49/194.79 Found x4 as proof of (cP X)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found x20:=(x2 x11):(cP X)
% 194.49/194.79 Instantiate: x3:=X:fofType
% 194.49/194.79 Found (x2 x11) as proof of (cP x3)
% 194.49/194.79 Found (x2 x11) as proof of (cP x3)
% 194.49/194.79 Found x20:=(x2 x10):(cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found (x2 x10) as proof of (cP X)
% 194.49/194.79 Found x20:(cP X)
% 194.49/194.79 Instantiate: X0:=X:fofType
% 194.49/194.79 Found x20 as proof of (cP X0)
% 194.49/194.79 Found x20:(cP X)
% 194.49/194.79 Found x20 as proof of (cP X)
% 194.49/194.79 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x20:=(x2 x10):(cP X)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x20:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x20 as proof of (cP X0)
% 197.02/197.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x20:=(x2 x40):(cP X)
% 197.02/197.33 Found (x2 x40) as proof of (cP X)
% 197.02/197.33 Found (x2 x40) as proof of (cP X)
% 197.02/197.33 Found x51:(cP X0)
% 197.02/197.33 Instantiate: X:=X0:fofType
% 197.02/197.33 Found x51 as proof of (cP X)
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x20:=(x2 x10):(cP X)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found (x2 x10) as proof of (cP x3)
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x20:=(x2 x10):(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found (x2 x10) as proof of (cP X0)
% 197.02/197.33 Found (x2 x10) as proof of (cP X0)
% 197.02/197.33 Found x20:=(x2 x11):(cP X)
% 197.02/197.33 Found (x2 x11) as proof of (cP X)
% 197.02/197.33 Found (x2 x11) as proof of (cP X)
% 197.02/197.33 Found x20:=(x2 x10):(cP X)
% 197.02/197.33 Found (x2 x10) as proof of (cP X)
% 197.02/197.33 Found (x2 x10) as proof of (cP X)
% 197.02/197.33 Found x7:(cP x6)
% 197.02/197.33 Instantiate: X0:=x6:fofType
% 197.02/197.33 Found x7 as proof of (cP X0)
% 197.02/197.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x4:(cP x3)
% 197.02/197.33 Instantiate: X:=x3:fofType
% 197.02/197.33 Found x4 as proof of (cP X)
% 197.02/197.33 Found x20:=(x2 x11):(cP X)
% 197.02/197.33 Found (x2 x11) as proof of (cP X)
% 197.02/197.33 Found (x2 x11) as proof of (cP X)
% 197.02/197.33 Found x40:=(x4 x10):(cP X0)
% 197.02/197.33 Instantiate: X:=X0:fofType
% 197.02/197.33 Found (x4 x10) as proof of (cP X)
% 197.02/197.33 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (cP X)
% 197.02/197.33 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 197.02/197.33 Found (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10)) as proof of (((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X)))
% 197.02/197.33 Found (and_rect10 (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 197.02/197.33 Found ((and_rect1 (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 197.02/197.33 Found (((fun (P:Type) (x3:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x3) x2)) (cP X)) (fun (x3:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x10))) as proof of (cP X)
% 197.02/197.33 Found x21:(cP X)
% 197.02/197.33 Instantiate: X0:=X:fofType
% 197.02/197.33 Found x21 as proof of (cP X0)
% 197.02/197.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 197.02/197.33 Found x4:(cP x3)
% 197.02/197.33 Instantiate: X:=x3:fofType
% 197.02/197.33 Found x4 as proof of (cP X)
% 197.02/197.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x20:=(x2 x3):(cP X)
% 199.03/199.40 Instantiate: X:=X0:fofType
% 199.03/199.40 Found (x2 x3) as proof of (cP X0)
% 199.03/199.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x7:(cP x6)
% 199.03/199.40 Instantiate: X0:=x6:fofType
% 199.03/199.40 Found x7 as proof of (cP X0)
% 199.03/199.40 Found x21:(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found x21 as proof of (cP X0)
% 199.03/199.40 Found x20:(cP X)
% 199.03/199.40 Instantiate: X:=X0:fofType
% 199.03/199.40 Found x20 as proof of (cP X0)
% 199.03/199.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x20:=(x2 x11):(cP X)
% 199.03/199.40 Found (x2 x11) as proof of (cP X)
% 199.03/199.40 Found (x2 x11) as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x11):(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found (x2 x11) as proof of (cP X0)
% 199.03/199.40 Found (x2 x11) as proof of (cP X0)
% 199.03/199.40 Found x20:=(x2 x11):(cP X)
% 199.03/199.40 Found (x2 x11) as proof of (cP X)
% 199.03/199.40 Found (x2 x11) as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x40):(cP X)
% 199.03/199.40 Found (x2 x40) as proof of (cP X)
% 199.03/199.40 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of (cP X)
% 199.03/199.40 Found (fun (x5:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x2 x40)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 199.03/199.40 Found x4:(cP x3)
% 199.03/199.40 Instantiate: X:=x3:fofType
% 199.03/199.40 Found x4 as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x40):(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found (x2 x40) as proof of (cP X0)
% 199.03/199.40 Found (x2 x40) as proof of (cP X0)
% 199.03/199.40 Found x50:=(x5 x40):(cP X0)
% 199.03/199.40 Found (x5 x40) as proof of (cP X0)
% 199.03/199.40 Found (x5 x40) as proof of (cP X0)
% 199.03/199.40 Found x50:=(x5 x40):(cP X0)
% 199.03/199.40 Instantiate: X:=X0:fofType
% 199.03/199.40 Found (x5 x40) as proof of (cP X)
% 199.03/199.40 Found (x5 x40) as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x11):(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found (x2 x11) as proof of (cP X0)
% 199.03/199.40 Found (x2 x11) as proof of (cP X0)
% 199.03/199.40 Found x20:=(x2 x40):(cP X)
% 199.03/199.40 Found (x2 x40) as proof of (cP X)
% 199.03/199.40 Found (x2 x40) as proof of (cP X)
% 199.03/199.40 Found x4:(cP x3)
% 199.03/199.40 Instantiate: X:=x3:fofType
% 199.03/199.40 Found x4 as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x12):(cP X)
% 199.03/199.40 Found (x2 x12) as proof of (cP X)
% 199.03/199.40 Found (x2 x12) as proof of (cP X)
% 199.03/199.40 Found x50:=(x5 x40):(cP X0)
% 199.03/199.40 Found (x5 x40) as proof of (cP X0)
% 199.03/199.40 Found (x5 x40) as proof of (cP X0)
% 199.03/199.40 Found x20:=(x2 x10):(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found (x2 x10) as proof of (cP X0)
% 199.03/199.40 Found (x2 x10) as proof of (cP X0)
% 199.03/199.40 Found x50:=(x5 x40):(cP X0)
% 199.03/199.40 Instantiate: X:=X0:fofType
% 199.03/199.40 Found (x5 x40) as proof of (cP X)
% 199.03/199.40 Found (x5 x40) as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x40):(cP X)
% 199.03/199.40 Found (x2 x40) as proof of (cP X)
% 199.03/199.40 Found (x2 x40) as proof of (cP X)
% 199.03/199.40 Found x50:=(x5 x10):(cP X0)
% 199.03/199.40 Found (x5 x10) as proof of (cP X0)
% 199.03/199.40 Found (x5 x10) as proof of (cP X0)
% 199.03/199.40 Found x21:(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found x21 as proof of (cP X0)
% 199.03/199.40 Found x50:=(x5 x10):(cP X0)
% 199.03/199.40 Instantiate: X:=X0:fofType
% 199.03/199.40 Found (x5 x10) as proof of (cP X)
% 199.03/199.40 Found (x5 x10) as proof of (cP X)
% 199.03/199.40 Found x20:=(x2 x10):(cP X)
% 199.03/199.40 Found (x2 x10) as proof of (cP X)
% 199.03/199.40 Found (x2 x10) as proof of (cP X)
% 199.03/199.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found (x2 x3) as proof of (cP X0)
% 199.03/199.40 Found (x2 x3) as proof of (cP X0)
% 199.03/199.40 Found x20:(cP X)
% 199.03/199.40 Instantiate: X0:=X:fofType
% 199.03/199.40 Found x20 as proof of (cP X0)
% 199.03/199.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 199.03/199.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x20:=(x2 x12):(cP X)
% 202.03/202.40 Found (x2 x12) as proof of (cP X)
% 202.03/202.40 Found (x2 x12) as proof of (cP X)
% 202.03/202.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x20:=(x2 x12):(cP X)
% 202.03/202.40 Found (x2 x12) as proof of (cP X)
% 202.03/202.40 Found (x2 x12) as proof of (cP X)
% 202.03/202.40 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found x20:=(x2 x10):(cP X)
% 202.03/202.40 Found (x2 x10) as proof of (cP X)
% 202.03/202.40 Found (x2 x10) as proof of (cP X)
% 202.03/202.40 Found x20:=(x2 x10):(cP X)
% 202.03/202.40 Found (x2 x10) as proof of (cP X)
% 202.03/202.40 Found (x2 x10) as proof of (cP X)
% 202.03/202.40 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:=(x1 x23):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x20:(cP X)
% 202.03/202.40 Instantiate: X:=X0:fofType
% 202.03/202.40 Found x20 as proof of (cP X0)
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x2 x11) as proof of (cP X0)
% 202.03/202.40 Found (x2 x11) as proof of (cP X0)
% 202.03/202.40 Found (x2 x11) as proof of (cP X0)
% 202.03/202.40 Found x20:=(x2 x13):(cP X)
% 202.03/202.40 Found (x2 x13) as proof of (cP X)
% 202.03/202.40 Found (x2 x13) as proof of (cP X)
% 202.03/202.40 Found x10:=(x1 x23):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x7:(cP x6)
% 202.03/202.40 Instantiate: X0:=x6:fofType
% 202.03/202.40 Found x7 as proof of (cP X0)
% 202.03/202.40 Found x7:(cP x6)
% 202.03/202.40 Instantiate: X:=x6:fofType
% 202.03/202.40 Found x7 as proof of (cP X)
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x20:=(x2 x13):(cP X)
% 202.03/202.40 Found (x2 x13) as proof of (cP X)
% 202.03/202.40 Found (x2 x13) as proof of (cP X)
% 202.03/202.40 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found (x2 x10) as proof of (cP X0)
% 202.03/202.40 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 202.03/202.40 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 205.49/205.82 Found x20:=(x2 x10):(cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x20:=(x2 x10):(cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found x20:=(x2 x10):(cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x21:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x21 as proof of (cP X0)
% 205.49/205.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x7:(cP x6)
% 205.49/205.82 Instantiate: X0:=x6:fofType
% 205.49/205.82 Found x7 as proof of (cP X0)
% 205.49/205.82 Found x21:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x21 as proof of (cP X0)
% 205.49/205.82 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x20:(cP X)
% 205.49/205.82 Found x20 as proof of (cP X)
% 205.49/205.82 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x20:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x20 as proof of (cP X0)
% 205.49/205.82 Found x20:=(x2 x12):(cP X)
% 205.49/205.82 Found (x2 x12) as proof of (cP X)
% 205.49/205.82 Found (x2 x12) as proof of (cP X)
% 205.49/205.82 Found x20:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x20 as proof of (cP X0)
% 205.49/205.82 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x20:=(x2 x40):(cP X)
% 205.49/205.82 Found (x2 x40) as proof of (cP X)
% 205.49/205.82 Found (x2 x40) as proof of (cP X)
% 205.49/205.82 Found x20:=(x2 x40):(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found (x2 x40) as proof of (cP X0)
% 205.49/205.82 Found (x2 x40) as proof of (cP X0)
% 205.49/205.82 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found (x2 x10) as proof of (cP X0)
% 205.49/205.82 Found x20:=(x2 x10):(cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found x20:=(x2 x11):(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found (x2 x11) as proof of (cP X0)
% 205.49/205.82 Found (x2 x11) as proof of (cP X0)
% 205.49/205.82 Found x21:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x21 as proof of (cP X0)
% 205.49/205.82 Found x20:=(x2 x40):(cP X)
% 205.49/205.82 Found (x2 x40) as proof of (cP X)
% 205.49/205.82 Found (x2 x40) as proof of (cP X)
% 205.49/205.82 Found x21:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x21 as proof of (cP X0)
% 205.49/205.82 Found x21:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x21 as proof of (cP X0)
% 205.49/205.82 Found x20:=(x2 x10):(cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found (x2 x10) as proof of (cP X)
% 205.49/205.82 Found x20:=(x2 x11):(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found (x2 x11) as proof of (cP X0)
% 205.49/205.82 Found (x2 x11) as proof of (cP X0)
% 205.49/205.82 Found x20:=(x2 x40):(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found (x2 x40) as proof of (cP X0)
% 205.49/205.82 Found (x2 x40) as proof of (cP X0)
% 205.49/205.82 Found x20:(cP X)
% 205.49/205.82 Instantiate: X:=X0:fofType
% 205.49/205.82 Found x20 as proof of (cP X0)
% 205.49/205.82 Found x22:(cP X)
% 205.49/205.82 Instantiate: X0:=X:fofType
% 205.49/205.82 Found x22 as proof of (cP X0)
% 205.49/205.82 Found x20:(cP X)
% 205.49/205.82 Instantiate: X:=X0:fofType
% 205.49/205.82 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x21:(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found x21 as proof of (cP X0)
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found x20:(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x20:=(x2 x3):(cP X)
% 208.10/208.45 Instantiate: X:=X0:fofType
% 208.10/208.45 Found (x2 x3) as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x20:(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found x20:(cP X)
% 208.10/208.45 Instantiate: X:=X0:fofType
% 208.10/208.45 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X)
% 208.10/208.45 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found (x2 x3) as proof of (cP X0)
% 208.10/208.45 Found (x2 x3) as proof of (cP X0)
% 208.10/208.45 Found x4:(cP x3)
% 208.10/208.45 Instantiate: X:=x3:fofType
% 208.10/208.45 Found x4 as proof of (cP X)
% 208.10/208.45 Found x31:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x31 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found (x4 x31) as proof of (cP X)
% 208.10/208.45 Found (x4 x31) as proof of (cP X)
% 208.10/208.45 Found (x4 x31) as proof of (cP X)
% 208.10/208.45 Found x4:(cP x3)
% 208.10/208.45 Instantiate: X:=x3:fofType
% 208.10/208.45 Found x4 as proof of (cP X)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x20:(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found x20 as proof of (cP X0)
% 208.10/208.45 Found x20:=(x2 x10):(cP X)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found (x2 x10) as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x21:(cP X)
% 208.10/208.45 Instantiate: X0:=X:fofType
% 208.10/208.45 Found x21 as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x20:=(x2 x3):(cP X)
% 208.10/208.45 Found (x2 x3) as proof of (cP X)
% 208.10/208.45 Found (x2 x3) as proof of (cP X)
% 208.10/208.45 Found x20:=(x2 x11):(cP X)
% 208.10/208.45 Instantiate: X:=X0:fofType
% 208.10/208.45 Found (x2 x11) as proof of (cP X0)
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 208.10/208.45 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x20:(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found x20 as proof of (cP X0)
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x21:(cP X)
% 209.68/209.98 Instantiate: X0:=X:fofType
% 209.68/209.98 Found x21 as proof of (cP X0)
% 209.68/209.98 Found x20:(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found x20 as proof of (cP X0)
% 209.68/209.98 Found x50:=(x5 x40):(cP X0)
% 209.68/209.98 Found (x5 x40) as proof of (cP X0)
% 209.68/209.98 Found (x5 x40) as proof of (cP X0)
% 209.68/209.98 Found x20:=(x2 x40):(cP X)
% 209.68/209.98 Found (x2 x40) as proof of (cP X)
% 209.68/209.98 Found (x2 x40) as proof of (cP X)
% 209.68/209.98 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x50:=(x5 x40):(cP X0)
% 209.68/209.98 Found (x5 x40) as proof of (cP X0)
% 209.68/209.98 Found (x5 x40) as proof of (cP X0)
% 209.68/209.98 Found x20:=(x2 x3):(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 209.68/209.98 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 209.68/209.98 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 209.68/209.98 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found x50:=(x5 x40):(cP X0)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found (x5 x40) as proof of (cP X)
% 209.68/209.98 Found (x5 x40) as proof of (cP X)
% 209.68/209.98 Found x20:=(x2 x10):(cP X)
% 209.68/209.98 Instantiate: X0:=X:fofType
% 209.68/209.98 Found (x2 x10) as proof of (cP X0)
% 209.68/209.98 Found (x2 x10) as proof of (cP X0)
% 209.68/209.98 Found x20:=(x2 x40):(cP X)
% 209.68/209.98 Found (x2 x40) as proof of (cP X)
% 209.68/209.98 Found (x2 x40) as proof of (cP X)
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x20:=(x2 x3):(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found x20:=(x2 x10):(cP X)
% 209.68/209.98 Found (x2 x10) as proof of (cP X)
% 209.68/209.98 Found (x2 x10) as proof of (cP X)
% 209.68/209.98 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x50:=(x5 x10):(cP X0)
% 209.68/209.98 Found (x5 x10) as proof of (cP X0)
% 209.68/209.98 Found (x5 x10) as proof of (cP X0)
% 209.68/209.98 Found x20:(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found x20 as proof of (cP X0)
% 209.68/209.98 Found x20 as proof of (cP X0)
% 209.68/209.98 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found x20:=(x2 x3):(cP X)
% 209.68/209.98 Instantiate: X:=X0:fofType
% 209.68/209.98 Found (x2 x3) as proof of (cP X0)
% 209.68/209.98 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 209.68/209.98 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 209.68/209.98 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 209.68/209.98 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 209.68/209.98 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found x20:=(x2 x3):(cP X)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found (x2 x3) as proof of (cP X0)
% 212.21/212.57 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 212.21/212.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 212.21/212.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 212.21/212.57 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found x20:(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found x20 as proof of (cP X0)
% 212.21/212.57 Found x50:(cP X0)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found x50 as proof of (cP X)
% 212.21/212.57 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x20:=(x2 x3):(cP X)
% 212.21/212.57 Found (x2 x3) as proof of (cP X)
% 212.21/212.57 Found (x2 x3) as proof of (cP X)
% 212.21/212.57 Found x20:=(x2 x11):(cP X)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found (x2 x11) as proof of (cP X0)
% 212.21/212.57 Found x20:=(x2 x40):(cP X)
% 212.21/212.57 Found (x2 x40) as proof of (cP X)
% 212.21/212.57 Found (x2 x40) as proof of (cP X)
% 212.21/212.57 Found x51:(cP X0)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found x51 as proof of (cP X)
% 212.21/212.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 212.21/212.57 Found x20:=(x2 x40):(cP X)
% 212.21/212.57 Found (x2 x40) as proof of (cP X)
% 212.21/212.57 Found (x2 x40) as proof of (cP X)
% 212.21/212.57 Found x20:(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found x20 as proof of (cP X0)
% 212.21/212.57 Found x21:(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found x21 as proof of (cP X0)
% 212.21/212.57 Found x20:=(x2 x10):(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x20:=(x2 x3):(cP X)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found (x2 x3) as proof of (cP X0)
% 212.21/212.57 Found x20:=(x2 x3):(cP X)
% 212.21/212.57 Instantiate: X:=X0:fofType
% 212.21/212.57 Found (x2 x3) as proof of (cP X0)
% 212.21/212.57 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 212.21/212.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 212.21/212.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 212.21/212.57 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.21/212.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x20:=(x2 x13):(cP X)
% 212.21/212.57 Found (x2 x13) as proof of (cP X)
% 212.21/212.57 Found (x2 x13) as proof of (cP X)
% 212.21/212.57 Found x20:=(x2 x10):(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found x20:(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found x20 as proof of (cP X0)
% 212.21/212.57 Found x4:(cP x3)
% 212.21/212.57 Instantiate: X:=x3:fofType
% 212.21/212.57 Found x4 as proof of (cP X)
% 212.21/212.57 Found x21:(cP X)
% 212.21/212.57 Instantiate: X0:=X:fofType
% 212.21/212.57 Found x21 as proof of (cP X0)
% 212.21/212.57 Found x20:=(x2 x10):(cP X)
% 212.21/212.57 Found (x2 x10) as proof of (cP X)
% 212.21/212.57 Found (x2 x10) as proof of (cP X)
% 212.21/212.57 Found x4:(cP x3)
% 212.21/212.57 Instantiate: X:=x3:fofType
% 212.21/212.57 Found x4 as proof of (cP X)
% 212.21/212.57 Found x4:(cP x3)
% 212.21/212.57 Instantiate: X:=x3:fofType
% 212.21/212.57 Found x4 as proof of (cP X)
% 212.21/212.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.21/212.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.21/212.57 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Instantiate: X0:=X:fofType
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x10):(cP X)
% 212.82/213.16 Instantiate: X:=X0:fofType
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 212.82/213.16 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 212.82/213.16 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 212.82/213.16 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x3):(cP X)
% 212.82/213.16 Instantiate: X:=X0:fofType
% 212.82/213.16 Found (x2 x3) as proof of (cP X0)
% 212.82/213.16 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 212.82/213.16 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.82/213.16 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.82/213.16 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.82/213.16 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 212.82/213.16 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found x21:(cP X)
% 212.82/213.16 Instantiate: X0:=X:fofType
% 212.82/213.16 Found x21 as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Instantiate: X0:=X:fofType
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Instantiate: X0:=X:fofType
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found x20:=(x2 x13):(cP X)
% 212.82/213.16 Found (x2 x13) as proof of (cP X)
% 212.82/213.16 Found (x2 x13) as proof of (cP X)
% 212.82/213.16 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found x5:(cP x4)
% 212.82/213.16 Instantiate: X0:=x4:fofType
% 212.82/213.16 Found x5 as proof of (cP X0)
% 212.82/213.16 Found x20:=(x2 x10):(cP X)
% 212.82/213.16 Found (x2 x10) as proof of (cP X)
% 212.82/213.16 Found (x2 x10) as proof of (cP X)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found (x2 x11) as proof of (cP X)
% 212.82/213.16 Found x20:=(x2 x11):(cP X)
% 212.82/213.16 Instantiate: X0:=X:fofType
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found (x2 x11) as proof of (cP X0)
% 212.82/213.16 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 212.82/213.16 Found x20:=(x2 x10):(cP X)
% 212.82/213.16 Instantiate: X:=X0:fofType
% 212.82/213.16 Found (x2 x10) as proof of (cP X0)
% 212.82/213.16 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 212.82/213.16 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 212.82/213.16 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 212.82/213.16 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found x20:(cP X)
% 213.89/214.25 Instantiate: X0:=X:fofType
% 213.89/214.25 Found x20 as proof of (cP X0)
% 213.89/214.25 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x20:=(x2 x12):(cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found x20:=(x2 x12):(cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x20:=(x2 x12):(cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Instantiate: X:=X0:fofType
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 213.89/214.25 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 213.89/214.25 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 213.89/214.25 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x20:=(x2 x12):(cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found (x2 x12) as proof of (cP X)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found x20:=(x2 x11):(cP X)
% 213.89/214.25 Instantiate: X:=X0:fofType
% 213.89/214.25 Found (x2 x11) as proof of (cP X0)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found (x2 x10) as proof of (cP X0)
% 213.89/214.25 Found x20:=(x2 x10):(cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found (x2 x10) as proof of (cP X)
% 213.89/214.25 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 213.89/214.25 Found x4:(cP x3)
% 217.00/217.32 Instantiate: X:=x3:fofType
% 217.00/217.32 Found x4 as proof of (cP X)
% 217.00/217.32 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found x4:(cP x3)
% 217.00/217.32 Instantiate: X:=x3:fofType
% 217.00/217.32 Found x4 as proof of (cP X)
% 217.00/217.32 Found x20:=(x2 x12):(cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found x20:=(x2 x12):(cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found x20:=(x2 x12):(cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found x20:=(x2 x10):(cP X)
% 217.00/217.32 Instantiate: X:=X0:fofType
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 217.00/217.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 217.00/217.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 217.00/217.32 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found x20:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x20 as proof of (cP X0)
% 217.00/217.32 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x20:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x20 as proof of (cP X0)
% 217.00/217.32 Found x7:(cP x6)
% 217.00/217.32 Instantiate: X0:=x6:fofType
% 217.00/217.32 Found x7 as proof of (cP X0)
% 217.00/217.32 Found x20:=(x2 x12):(cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found x20:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x20 as proof of (cP X0)
% 217.00/217.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x20:=(x2 x12):(cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found (x2 x12) as proof of (cP X)
% 217.00/217.32 Found x20:=(x2 x10):(cP X)
% 217.00/217.32 Instantiate: X:=X0:fofType
% 217.00/217.32 Found (x2 x10) as proof of (cP X0)
% 217.00/217.32 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 217.00/217.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 217.00/217.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 217.00/217.32 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 217.00/217.32 Found x20:(cP X)
% 217.00/217.32 Found x20 as proof of (cP X)
% 217.00/217.32 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x20:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x20 as proof of (cP X0)
% 217.00/217.32 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 217.00/217.32 Found x21:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x21 as proof of (cP X0)
% 217.00/217.32 Found x21:(cP X)
% 217.00/217.32 Instantiate: X0:=X:fofType
% 217.00/217.32 Found x21 as proof of (cP X0)
% 217.00/217.32 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x20:=(x2 x10):(cP X)
% 218.60/218.93 Instantiate: X:=X0:fofType
% 218.60/218.93 Found (x2 x10) as proof of (cP X0)
% 218.60/218.93 Found (fun (x5:(cP x4))=> (x2 x10)) as proof of (cP X0)
% 218.60/218.93 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of ((cP x4)->(cP X0))
% 218.60/218.93 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x10)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 218.60/218.93 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 218.60/218.93 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 218.60/218.93 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 218.60/218.93 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x10))) as proof of (cP X0)
% 218.60/218.93 Found x22:(cP X)
% 218.60/218.93 Instantiate: X0:=X:fofType
% 218.60/218.93 Found x22 as proof of (cP X0)
% 218.60/218.93 Found x51:(cP X0)
% 218.60/218.93 Instantiate: X:=X0:fofType
% 218.60/218.93 Found x51 as proof of (cP X)
% 218.60/218.93 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x22:(cP X)
% 218.60/218.93 Instantiate: X0:=X:fofType
% 218.60/218.93 Found x22 as proof of (cP X0)
% 218.60/218.93 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 218.60/218.93 Found x20:(cP X)
% 218.60/218.93 Instantiate: X0:=X:fofType
% 218.60/218.93 Found x20 as proof of (cP X0)
% 218.60/218.93 Found x60:=(x6 x3):(cP X1)
% 218.60/218.93 Instantiate: X1:=X0:fofType
% 218.60/218.93 Found (x6 x3) as proof of (cP X0)
% 218.60/218.93 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (cP X0)
% 218.60/218.93 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 218.60/218.93 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 218.60/218.93 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 218.60/218.93 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 218.60/218.93 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 218.60/218.93 Found (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))) as proof of (cP X0)
% 218.60/218.93 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (cP X0)
% 218.60/218.94 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 218.60/218.94 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 218.60/218.94 Found ((conj10 (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 218.60/218.94 Found (((conj1 ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 218.60/218.94 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 218.60/218.94 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 218.99/219.30 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))
% 218.99/219.30 Found (iff_sym00 ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 218.99/219.30 Found ((iff_sym0 (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 218.99/219.30 Found (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 218.99/219.30 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 219.09/219.46 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 219.09/219.46 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))))
% 219.09/219.46 Found (and_rect00 (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 219.09/219.46 Found ((and_rect0 ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 221.59/221.92 Found (((fun (P:Type) (x1:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x1) x0)) ((iff (forall (X0:fofType), (cP X0))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> (((iff_sym ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X0:fofType), (cP X0))) ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X0:fofType), (cP X0)))=> (x1 (x3 X))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 221.59/221.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Found x20 as proof of (cP X0)
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Instantiate: X:=X0:fofType
% 221.59/221.92 Found x20 as proof of (cP X0)
% 221.59/221.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Found x20 as proof of (cP X)
% 221.59/221.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Found x20 as proof of (cP X)
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Instantiate: X0:=X:fofType
% 221.59/221.92 Found x20 as proof of (cP X0)
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Found x20 as proof of (cP X)
% 221.59/221.92 Found x20:(cP X)
% 221.59/221.92 Instantiate: X0:=X:fofType
% 221.59/221.92 Found x20 as proof of (cP X0)
% 221.59/221.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 221.59/221.92 Found x21:(cP X)
% 221.59/221.92 Instantiate: X0:=X:fofType
% 221.59/221.92 Found x21 as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x3):(cP X)
% 221.59/221.92 Found (x2 x3) as proof of (cP X0)
% 221.59/221.92 Found (x2 x3) as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x10):(cP X)
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x10):(cP X)
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found x21:(cP X)
% 221.59/221.92 Instantiate: X0:=X:fofType
% 221.59/221.92 Found x21 as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x10):(cP X)
% 221.59/221.92 Instantiate: X0:=X:fofType
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found (x2 x10) as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x10):(cP X)
% 221.59/221.92 Found (x2 x10) as proof of (cP X)
% 221.59/221.92 Found (x2 x10) as proof of (cP X)
% 221.59/221.92 Found x20:=(x2 x3):(cP X)
% 221.59/221.92 Instantiate: X:=X0:fofType
% 221.59/221.92 Found (x2 x3) as proof of (cP X0)
% 221.59/221.92 Found x20:=(x2 x10):(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found (x2 x10) as proof of (cP X0)
% 224.38/224.75 Found (x2 x10) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x10):(cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found x21:(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found x21 as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found x21:(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found x21 as proof of (cP X0)
% 224.38/224.75 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found x20:=(x2 x10):(cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x3):(cP X)
% 224.38/224.75 Instantiate: X:=X0:fofType
% 224.38/224.75 Found (x2 x3) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x10):(cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found (x2 x10) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found (x2 x11) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x11):(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found (x2 x11) as proof of (cP X0)
% 224.38/224.75 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 224.38/224.75 Found x20:(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found x20 as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x12):(cP X)
% 224.38/224.75 Found (x2 x12) as proof of (cP X)
% 224.38/224.75 Found (x2 x12) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x3):(cP X)
% 224.38/224.75 Instantiate: X:=X0:fofType
% 224.38/224.75 Found (x2 x3) as proof of (cP X0)
% 224.38/224.75 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 224.38/224.75 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 224.38/224.75 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 224.38/224.75 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found x20:=(x2 x12):(cP X)
% 224.38/224.75 Found (x2 x12) as proof of (cP X)
% 224.38/224.75 Found (x2 x12) as proof of (cP X)
% 224.38/224.75 Found x20:=(x2 x3):(cP X)
% 224.38/224.75 Instantiate: X:=X0:fofType
% 224.38/224.75 Found (x2 x3) as proof of (cP X0)
% 224.38/224.75 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 224.38/224.75 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 224.38/224.75 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 224.38/224.75 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 224.38/224.75 Found x50:(cP X0)
% 224.38/224.75 Instantiate: X:=X0:fofType
% 224.38/224.75 Found x50 as proof of (cP X)
% 224.38/224.75 Found x20:(cP X)
% 224.38/224.75 Instantiate: X0:=X:fofType
% 224.38/224.75 Found x20 as proof of (cP X0)
% 226.29/226.66 Found x20:(cP X)
% 226.29/226.66 Found x20 as proof of (cP X0)
% 226.29/226.66 Found x51:(cP X0)
% 226.29/226.66 Instantiate: X:=X0:fofType
% 226.29/226.66 Found x51 as proof of (cP X)
% 226.29/226.66 Found x21:(cP X)
% 226.29/226.66 Instantiate: X0:=X:fofType
% 226.29/226.66 Found x21 as proof of (cP X0)
% 226.29/226.66 Found x5:(cP x4)
% 226.29/226.66 Instantiate: X0:=x4:fofType
% 226.29/226.66 Found x5 as proof of (cP X0)
% 226.29/226.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x20:=(x2 x3):(cP X)
% 226.29/226.66 Instantiate: X:=X0:fofType
% 226.29/226.66 Found (x2 x3) as proof of (cP X0)
% 226.29/226.66 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 226.29/226.66 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 226.29/226.66 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 226.29/226.66 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x5:(cP x4)
% 226.29/226.66 Instantiate: X0:=x4:fofType
% 226.29/226.66 Found x5 as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x20:=(x2 x3):(cP X)
% 226.29/226.66 Instantiate: X:=X0:fofType
% 226.29/226.66 Found (x2 x3) as proof of (cP X0)
% 226.29/226.66 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 226.29/226.66 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 226.29/226.66 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 226.29/226.66 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 226.29/226.66 Found x20:=(x2 x10):(cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X)
% 226.29/226.66 Found x20:=(x2 x11):(cP X)
% 226.29/226.66 Instantiate: X:=X0:fofType
% 226.29/226.66 Found (x2 x11) as proof of (cP X0)
% 226.29/226.66 Found x20:=(x2 x10):(cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x20:=(x2 x10):(cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X)
% 226.29/226.66 Found x20:=(x2 x11):(cP X)
% 226.29/226.66 Instantiate: X:=X0:fofType
% 226.29/226.66 Found (x2 x11) as proof of (cP X0)
% 226.29/226.66 Found x20:=(x2 x10):(cP X)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found (x2 x10) as proof of (cP X0)
% 226.29/226.66 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 226.29/226.66 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 227.98/228.36 Found x20:(cP X)
% 227.98/228.36 Found x20 as proof of (cP X0)
% 227.98/228.36 Found x20:(cP X)
% 227.98/228.36 Instantiate: X:=X0:fofType
% 227.98/228.36 Found x20 as proof of (cP X0)
% 227.98/228.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (fun (x3:(forall (X:fofType), (cP X)))=> x11) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 227.98/228.36 Found x50:(cP X0)
% 227.98/228.36 Instantiate: X:=X0:fofType
% 227.98/228.36 Found x50 as proof of (cP X)
% 227.98/228.36 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x20:(cP X)
% 227.98/228.36 Instantiate: X0:=X:fofType
% 227.98/228.36 Found x20 as proof of (cP X0)
% 227.98/228.36 Found x20:=(x2 x10):(cP X)
% 227.98/228.36 Found (x2 x10) as proof of (cP X)
% 227.98/228.36 Found (x2 x10) as proof of (cP X)
% 227.98/228.36 Found x20:=(x2 x11):(cP X)
% 227.98/228.36 Instantiate: X:=X0:fofType
% 227.98/228.36 Found (x2 x11) as proof of (cP X0)
% 227.98/228.36 Found x20:=(x2 x10):(cP X)
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found (x2 x10) as proof of (cP X0)
% 227.98/228.36 Found x20:=(x2 x3):(cP X)
% 227.98/228.36 Instantiate: X:=X0:fofType
% 227.98/228.36 Found (x2 x3) as proof of (cP X0)
% 227.98/228.36 Found x60:=(x6 x3):(cP X1)
% 227.98/228.36 Instantiate: X1:=X0:fofType
% 227.98/228.36 Found (x6 x3) as proof of (cP X0)
% 227.98/228.36 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (cP X0)
% 227.98/228.36 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 227.98/228.36 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 227.98/228.36 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 227.98/228.36 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 227.98/228.36 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 227.98/228.36 Found (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))) as proof of (cP X0)
% 227.98/228.36 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (cP X0)
% 228.06/228.37 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 228.06/228.37 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 228.06/228.37 Found ((conj10 (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 228.06/228.37 Found (((conj1 ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 228.06/228.37 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 228.06/228.37 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 228.07/228.39 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))
% 228.07/228.39 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X))))
% 228.07/228.39 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))))
% 228.07/228.39 Found (and_rect00 (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))
% 228.38/228.69 Found ((and_rect0 ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))
% 228.38/228.69 Found (((fun (P:Type) (x1:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x1) x0)) ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X0:fofType), (cP X0)))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X0:fofType), (cP X0)))=> (x1 (x3 X)))))) as proof of ((iff ((ex fofType) (fun (Y:fofType)=> (cP Y)))) (forall (X:fofType), (cP X)))
% 228.38/228.69 Found x20:=(x2 x10):(cP X)
% 228.38/228.69 Found (x2 x10) as proof of (cP X)
% 228.38/228.69 Found (x2 x10) as proof of (cP X)
% 228.38/228.69 Found x20:=(x2 x11):(cP X)
% 228.38/228.69 Instantiate: X:=X0:fofType
% 228.38/228.69 Found (x2 x11) as proof of (cP X0)
% 228.38/228.69 Found x20:=(x2 x10):(cP X)
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.38/228.69 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found x20:=(x2 x10):(cP X)
% 228.38/228.69 Instantiate: X0:=X:fofType
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found (x2 x10) as proof of (cP X0)
% 228.38/228.69 Found x20:=(x2 x10):(cP X)
% 228.38/228.69 Found (x2 x10) as proof of (cP X)
% 228.38/228.69 Found (x2 x10) as proof of (cP X)
% 228.38/228.69 Found x20:=(x2 x3):(cP X)
% 228.38/228.69 Found (x2 x3) as proof of (cP X0)
% 228.38/228.69 Found (x2 x3) as proof of (cP X0)
% 228.38/228.69 Found x60:=(x6 x3):(cP X1)
% 228.38/228.69 Instantiate: X1:=X0:fofType
% 228.38/228.69 Found (x6 x3) as proof of (cP X0)
% 228.38/228.69 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (cP X0)
% 228.38/228.69 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 228.38/228.69 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 228.38/228.69 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 228.38/228.70 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 228.38/228.70 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 228.38/228.70 Found (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))) as proof of (cP X0)
% 228.38/228.70 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (cP X0)
% 228.38/228.70 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 228.38/228.70 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 228.38/228.70 Found ((conj10 (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 228.38/228.70 Found (((conj1 (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 228.38/228.70 Found ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 228.38/228.70 Found ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 228.38/228.70 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.38/228.70 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 228.38/228.70 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))))
% 228.49/228.81 Found (and_rect00 (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.49/228.81 Found ((and_rect0 ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.49/228.81 Found (((fun (P:Type) (x1:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x1) x0)) ((iff (forall (X0:fofType), (cP X0))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) (fun (x3:(forall (X0:fofType), (cP X0)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((iff (forall (X:fofType), (cP X))) ((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.49/228.81 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.49/228.81 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.49/228.81 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.57/228.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.57/228.92 Found x20:(cP X)
% 228.57/228.92 Found x20 as proof of (cP X0)
% 228.57/228.92 Found x20:(cP X)
% 228.57/228.92 Instantiate: X:=X0:fofType
% 228.57/228.92 Found x20 as proof of (cP X0)
% 228.57/228.92 Found x20:=(x2 x3):(cP X)
% 228.57/228.92 Found (x2 x3) as proof of (cP X)
% 228.57/228.92 Found (x2 x3) as proof of (cP X)
% 228.57/228.92 Found x20:=(x2 x11):(cP X)
% 228.57/228.92 Instantiate: X:=X0:fofType
% 228.57/228.92 Found (x2 x11) as proof of (cP X0)
% 228.57/228.92 Found (x2 x11) as proof of (cP X0)
% 228.57/228.92 Found x20:=(x2 x10):(cP X)
% 228.57/228.92 Found (x2 x10) as proof of (cP X0)
% 228.57/228.92 Found (x2 x10) as proof of (cP X0)
% 228.57/228.92 Found (x2 x10) as proof of (cP X0)
% 228.57/228.92 Found x20:=(x2 x3):(cP X)
% 228.57/228.92 Instantiate: X:=X0:fofType
% 228.57/228.92 Found (x2 x3) as proof of (cP X0)
% 228.57/228.92 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 228.57/228.92 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 228.57/228.92 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 228.57/228.92 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found x20:=(x2 x3):(cP X)
% 228.57/228.92 Found (x2 x3) as proof of (cP X0)
% 228.57/228.92 Found (x2 x3) as proof of (cP X0)
% 228.57/228.92 Found x20:=(x2 x3):(cP X)
% 228.57/228.92 Instantiate: X:=X0:fofType
% 228.57/228.92 Found (x2 x3) as proof of (cP X0)
% 228.57/228.92 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 228.57/228.92 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 228.57/228.92 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 228.57/228.92 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 228.57/228.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.57/228.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.57/228.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 228.57/228.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 228.57/228.92 Found x20:(cP X)
% 228.57/228.92 Found x20 as proof of (cP X0)
% 228.57/228.92 Found x20:(cP X)
% 230.37/230.78 Instantiate: X:=X0:fofType
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20:=(x2 x10):(cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found x21:(cP X)
% 230.37/230.78 Instantiate: X0:=X:fofType
% 230.37/230.78 Found x21 as proof of (cP X0)
% 230.37/230.78 Found x20:=(x2 x11):(cP X)
% 230.37/230.78 Found (x2 x11) as proof of (cP X)
% 230.37/230.78 Found (x2 x11) as proof of (cP X)
% 230.37/230.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x20:=(x2 x10):(cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found x20:=(x2 x3):(cP X)
% 230.37/230.78 Found (x2 x3) as proof of (cP X0)
% 230.37/230.78 Found (x2 x3) as proof of (cP X0)
% 230.37/230.78 Found x21:(cP X)
% 230.37/230.78 Instantiate: X0:=X:fofType
% 230.37/230.78 Found x21 as proof of (cP X0)
% 230.37/230.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Instantiate: X0:=X:fofType
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> x11) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> x11) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 230.37/230.78 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x21:(cP X)
% 230.37/230.78 Instantiate: X:=X0:fofType
% 230.37/230.78 Found x21 as proof of (cP X0)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20:(cP X)
% 230.37/230.78 Instantiate: X:=X0:fofType
% 230.37/230.78 Found x20 as proof of (cP X0)
% 230.37/230.78 Found x20:=(x2 x10):(cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found x20:=(x2 x11):(cP X)
% 230.37/230.78 Instantiate: X:=X0:fofType
% 230.37/230.78 Found (x2 x11) as proof of (cP X0)
% 230.37/230.78 Found (x2 x11) as proof of (cP X0)
% 230.37/230.78 Found x20:=(x2 x10):(cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found (x2 x10) as proof of (cP X0)
% 230.37/230.78 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 230.37/230.78 Found x20:=(x2 x10):(cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found (x2 x10) as proof of (cP X)
% 230.37/230.78 Found x20:=(x2 x11):(cP X)
% 230.37/230.78 Instantiate: X:=X0:fofType
% 230.37/230.78 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found x20:=(x2 x11):(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found x20:=(x2 x11):(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x3):(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x3):(cP X)
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x3):(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found x21:(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found x21 as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found x21:(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found x21 as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x3):(cP X)
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x21:(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found x21 as proof of (cP X0)
% 233.09/233.41 Found x20:(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found x20 as proof of (cP X0)
% 233.09/233.41 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x20:(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found x20 as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x11):(cP X)
% 233.09/233.41 Found (x2 x11) as proof of (cP X)
% 233.09/233.41 Found (x2 x11) as proof of (cP X)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found (x2 x10) as proof of (cP X)
% 233.09/233.41 Found x20:=(x2 x11):(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found (x2 x11) as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x10):(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found (x2 x10) as proof of (cP X0)
% 233.09/233.41 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x20:(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found x20 as proof of (cP X0)
% 233.09/233.41 Found x20:=(x2 x3):(cP X)
% 233.09/233.41 Instantiate: X:=X0:fofType
% 233.09/233.41 Found (x2 x3) as proof of (cP X0)
% 233.09/233.41 Found x20:(cP X)
% 233.09/233.41 Instantiate: X0:=X:fofType
% 233.09/233.41 Found x20 as proof of (cP X0)
% 233.09/233.41 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 233.09/233.41 Found x20:(cP X)
% 234.56/234.94 Found x20 as proof of (cP X)
% 234.56/234.94 Found x20:=(x2 x3):(cP X)
% 234.56/234.94 Found (x2 x3) as proof of (cP X0)
% 234.56/234.94 Found (x2 x3) as proof of (cP X0)
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x20:=(x2 x3):(cP X)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found (x2 x3) as proof of (cP X0)
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x2 x3) as proof of (cP X0)
% 234.56/234.94 Found (x2 x3) as proof of (cP X0)
% 234.56/234.94 Found x20:=(x2 x3):(cP X)
% 234.56/234.94 Found (x2 x3) as proof of (cP X)
% 234.56/234.94 Found (x2 x3) as proof of (cP X)
% 234.56/234.94 Found x20:=(x2 x11):(cP X)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found (x2 x11) as proof of (cP X0)
% 234.56/234.94 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Instantiate: X0:=X:fofType
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x50:(cP X0)
% 234.56/234.94 Instantiate: X:=X0:fofType
% 234.56/234.94 Found x50 as proof of (cP X)
% 234.56/234.94 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Found x20 as proof of (cP X)
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Found x20 as proof of (cP X)
% 234.56/234.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x20:=(x2 x11):(cP X)
% 234.56/234.94 Found (x2 x11) as proof of (cP X)
% 234.56/234.94 Found (x2 x11) as proof of (cP X)
% 234.56/234.94 Found x20:=(x2 x11):(cP X)
% 234.56/234.94 Found (x2 x11) as proof of (cP X)
% 234.56/234.94 Found (x2 x11) as proof of (cP X)
% 234.56/234.94 Found x20:=(x2 x11):(cP X)
% 234.56/234.94 Instantiate: X0:=X:fofType
% 234.56/234.94 Found (x2 x11) as proof of (cP X0)
% 234.56/234.94 Found (x2 x11) as proof of (cP X0)
% 234.56/234.94 Found x20:=(x2 x11):(cP X)
% 234.56/234.94 Instantiate: X0:=X:fofType
% 234.56/234.94 Found (x2 x11) as proof of (cP X0)
% 234.56/234.94 Found (x2 x11) as proof of (cP X0)
% 234.56/234.94 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x60:=(x6 X):(cP X)
% 234.56/234.94 Found (x6 X) as proof of (cP X)
% 234.56/234.94 Found (x6 X) as proof of (cP X)
% 234.56/234.94 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 234.56/234.94 Found x50:=(x5 x6):(cP X0)
% 234.56/234.94 Instantiate: X0:=X1:fofType
% 234.56/234.94 Found (x5 x6) as proof of (cP X1)
% 234.56/234.94 Found x20:=(x2 x6):(cP X)
% 234.56/234.94 Instantiate: X:=X1:fofType
% 234.56/234.94 Found (x2 x6) as proof of (cP X1)
% 234.56/234.94 Found x50:=(x5 x6):(cP X0)
% 234.56/234.94 Found (x5 x6) as proof of (cP X1)
% 234.56/234.94 Found (x5 x6) as proof of (cP X1)
% 234.56/234.94 Found x20:=(x2 x6):(cP X)
% 234.56/234.94 Found (x2 x6) as proof of (cP X1)
% 234.56/234.94 Found (x2 x6) as proof of (cP X1)
% 234.56/234.94 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x5 x6) as proof of (cP X1)
% 234.56/234.94 Found (x5 x6) as proof of (cP X1)
% 234.56/234.94 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 234.56/234.94 Found (x2 x6) as proof of (cP X1)
% 234.56/234.94 Found (x2 x6) as proof of (cP X1)
% 234.56/234.94 Found x20:(cP X)
% 234.56/234.94 Instantiate: X0:=X:fofType
% 234.56/234.94 Found x20 as proof of (cP X0)
% 234.56/234.94 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x60:=(x6 X):(cP X)
% 235.60/235.91 Found (x6 X) as proof of (cP X)
% 235.60/235.91 Found (x6 X) as proof of (cP X)
% 235.60/235.91 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 235.60/235.91 Found x50:=(x5 x6):(cP X0)
% 235.60/235.91 Instantiate: X0:=X1:fofType
% 235.60/235.91 Found (x5 x6) as proof of (cP X1)
% 235.60/235.91 Found x20:=(x2 x6):(cP X)
% 235.60/235.91 Instantiate: X:=X1:fofType
% 235.60/235.91 Found (x2 x6) as proof of (cP X1)
% 235.60/235.91 Found x50:=(x5 x6):(cP X0)
% 235.60/235.91 Found (x5 x6) as proof of (cP X1)
% 235.60/235.91 Found (x5 x6) as proof of (cP X1)
% 235.60/235.91 Found x20:=(x2 x6):(cP X)
% 235.60/235.91 Found (x2 x6) as proof of (cP X1)
% 235.60/235.91 Found (x2 x6) as proof of (cP X1)
% 235.60/235.91 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x5 x6) as proof of (cP X1)
% 235.60/235.91 Found (x5 x6) as proof of (cP X1)
% 235.60/235.91 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x2 x6) as proof of (cP X1)
% 235.60/235.91 Found (x2 x6) as proof of (cP X1)
% 235.60/235.91 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x2 x3) as proof of (cP X0)
% 235.60/235.91 Found (x2 x3) as proof of (cP X0)
% 235.60/235.91 Found x20:(cP X)
% 235.60/235.91 Found x20 as proof of (cP X)
% 235.60/235.91 Found x20:(cP X)
% 235.60/235.91 Instantiate: X0:=X:fofType
% 235.60/235.91 Found x20 as proof of (cP X0)
% 235.60/235.91 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x20:=(x2 x10):(cP X)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found x20:=(x2 x10):(cP X)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x2 x3) as proof of (cP X0)
% 235.60/235.91 Found (x2 x3) as proof of (cP X0)
% 235.60/235.91 Found x20:=(x2 x3):(cP X)
% 235.60/235.91 Found (x2 x3) as proof of (cP X)
% 235.60/235.91 Found (x2 x3) as proof of (cP X)
% 235.60/235.91 Found x20:=(x2 x11):(cP X)
% 235.60/235.91 Instantiate: X:=X0:fofType
% 235.60/235.91 Found (x2 x11) as proof of (cP X0)
% 235.60/235.91 Found x20:=(x2 x10):(cP X)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found (x2 x10) as proof of (cP X0)
% 235.60/235.91 Found x50:=(x5 x41):(cP X0)
% 235.60/235.91 Found (x5 x41) as proof of (cP X0)
% 235.60/235.91 Found (x5 x41) as proof of (cP X0)
% 235.60/235.91 Found x50:=(x5 x40):(cP X0)
% 235.60/235.91 Found (x5 x40) as proof of (cP X0)
% 235.60/235.91 Found (x5 x40) as proof of (cP X0)
% 235.60/235.91 Found x50:=(x5 x10):(cP X0)
% 235.60/235.91 Instantiate: X:=X0:fofType
% 235.60/235.91 Found (x5 x10) as proof of (cP X)
% 235.60/235.91 Found (x5 x10) as proof of (cP X)
% 235.60/235.91 Found x20:=(x2 x10):(cP X)
% 235.60/235.91 Found (x2 x10) as proof of (cP X)
% 235.60/235.91 Found (x2 x10) as proof of (cP X)
% 235.60/235.91 Found x50:=(x5 x11):(cP X0)
% 235.60/235.91 Instantiate: X:=X0:fofType
% 235.60/235.91 Found (x5 x11) as proof of (cP X)
% 235.60/235.91 Found (x5 x11) as proof of (cP X)
% 235.60/235.91 Found x50:=(x5 x41):(cP X0)
% 235.60/235.91 Instantiate: X:=X0:fofType
% 235.60/235.91 Found (x5 x41) as proof of (cP X)
% 235.60/235.91 Found (x5 x41) as proof of (cP X)
% 235.60/235.91 Found x20:=(x2 x40):(cP X)
% 235.60/235.91 Found (x2 x40) as proof of (cP X)
% 235.60/235.91 Found (x2 x40) as proof of (cP X)
% 235.60/235.91 Found x20:=(x2 x11):(cP X)
% 235.60/235.91 Found (x2 x11) as proof of (cP X)
% 235.60/235.91 Found (x2 x11) as proof of (cP X)
% 235.60/235.91 Found x20:=(x2 x41):(cP X)
% 235.60/235.91 Found (x2 x41) as proof of (cP X)
% 235.60/235.91 Found (x2 x41) as proof of (cP X)
% 235.60/235.91 Found x20:(cP X)
% 235.60/235.91 Instantiate: X0:=X:fofType
% 235.60/235.91 Found x20 as proof of (cP X0)
% 235.60/235.91 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x40:=(x4 x51):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x4 x51) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 235.60/235.91 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x50:=(x5 x11):(cP X0)
% 236.56/236.88 Found (x5 x11) as proof of (cP X0)
% 236.56/236.88 Found (x5 x11) as proof of (cP X0)
% 236.56/236.88 Found x50:=(x5 x10):(cP X0)
% 236.56/236.88 Found (x5 x10) as proof of (cP X0)
% 236.56/236.88 Found (x5 x10) as proof of (cP X0)
% 236.56/236.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Found x20 as proof of (cP X0)
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Instantiate: X:=X0:fofType
% 236.56/236.88 Found x20 as proof of (cP X0)
% 236.56/236.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Found x20 as proof of (cP X)
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Instantiate: X0:=X:fofType
% 236.56/236.88 Found x20 as proof of (cP X0)
% 236.56/236.88 Found x50:(cP X0)
% 236.56/236.88 Instantiate: X:=X0:fofType
% 236.56/236.88 Found x50 as proof of (cP X)
% 236.56/236.88 Found x50:(cP X0)
% 236.56/236.88 Found x50 as proof of (cP X0)
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Found x20 as proof of (cP X0)
% 236.56/236.88 Found x20:=(x2 x3):(cP X)
% 236.56/236.88 Instantiate: X:=X0:fofType
% 236.56/236.88 Found (x2 x3) as proof of (cP X0)
% 236.56/236.88 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 236.56/236.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 236.56/236.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 236.56/236.88 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x20:=(x2 x3):(cP X)
% 236.56/236.88 Instantiate: X:=X0:fofType
% 236.56/236.88 Found (x2 x3) as proof of (cP X0)
% 236.56/236.88 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 236.56/236.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 236.56/236.88 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 236.56/236.88 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 236.56/236.88 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 236.56/236.88 Found x20:(cP X)
% 236.56/236.88 Instantiate: X0:=X:fofType
% 236.56/236.88 Found x20 as proof of (cP X0)
% 236.56/236.88 Found x20:=(x2 x3):(cP X)
% 236.56/236.88 Instantiate: X:=X0:fofType
% 236.56/236.88 Found (x2 x3) as proof of (cP X0)
% 236.56/236.88 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 237.49/237.86 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 237.49/237.86 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 237.49/237.86 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 237.49/237.86 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 237.49/237.86 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 237.49/237.86 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x2 x3) as proof of (cP X0)
% 237.49/237.86 Found (x2 x3) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x11):(cP X)
% 237.49/237.86 Found (x2 x11) as proof of (cP X)
% 237.49/237.86 Found (x2 x11) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x11):(cP X)
% 237.49/237.86 Instantiate: X0:=X:fofType
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x11):(cP X)
% 237.49/237.86 Instantiate: X0:=X:fofType
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found x50:=(x5 x11):(cP X0)
% 237.49/237.86 Found (x5 x11) as proof of (cP X0)
% 237.49/237.86 Found (x5 x11) as proof of (cP X0)
% 237.49/237.86 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x50:=(x5 x11):(cP X0)
% 237.49/237.86 Found (x5 x11) as proof of (cP X0)
% 237.49/237.86 Found (x5 x11) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Instantiate: X0:=X:fofType
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found x50:=(x5 x10):(cP X0)
% 237.49/237.86 Found (x5 x10) as proof of (cP X0)
% 237.49/237.86 Found (x5 x10) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Instantiate: X0:=X:fofType
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 237.49/237.86 Found x50:=(x5 x10):(cP X0)
% 237.49/237.86 Found (x5 x10) as proof of (cP X0)
% 237.49/237.86 Found (x5 x10) as proof of (cP X0)
% 237.49/237.86 Found x50:=(x5 x41):(cP X0)
% 237.49/237.86 Instantiate: X:=X0:fofType
% 237.49/237.86 Found (x5 x41) as proof of (cP X)
% 237.49/237.86 Found (x5 x41) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x40):(cP X)
% 237.49/237.86 Instantiate: X0:=X:fofType
% 237.49/237.86 Found (x2 x40) as proof of (cP X0)
% 237.49/237.86 Found (x2 x40) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x41):(cP X)
% 237.49/237.86 Found (x2 x41) as proof of (cP X)
% 237.49/237.86 Found (x2 x41) as proof of (cP X)
% 237.49/237.86 Found x50:=(x5 x40):(cP X0)
% 237.49/237.86 Found (x5 x40) as proof of (cP X0)
% 237.49/237.86 Found (x5 x40) as proof of (cP X0)
% 237.49/237.86 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 237.49/237.86 Found x20:=(x2 x3):(cP X)
% 237.49/237.86 Found (x2 x3) as proof of (cP X)
% 237.49/237.86 Found (x2 x3) as proof of (cP X)
% 237.49/237.86 Found x20:=(x2 x11):(cP X)
% 237.49/237.86 Instantiate: X:=X0:fofType
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found (x2 x11) as proof of (cP X0)
% 237.49/237.86 Found x20:=(x2 x10):(cP X)
% 237.49/237.86 Found (x2 x10) as proof of (cP X0)
% 238.98/239.32 Found (x2 x10) as proof of (cP X0)
% 238.98/239.32 Found (x2 x10) as proof of (cP X0)
% 238.98/239.32 Found x50:=(x5 x41):(cP X0)
% 238.98/239.32 Found (x5 x41) as proof of (cP X0)
% 238.98/239.32 Found (x5 x41) as proof of (cP X0)
% 238.98/239.32 Found x20:=(x2 x10):(cP X)
% 238.98/239.32 Found (x2 x10) as proof of (cP X)
% 238.98/239.32 Found (x2 x10) as proof of (cP X)
% 238.98/239.32 Found x50:=(x5 x11):(cP X0)
% 238.98/239.32 Instantiate: X:=X0:fofType
% 238.98/239.32 Found (x5 x11) as proof of (cP X)
% 238.98/239.32 Found (x5 x11) as proof of (cP X)
% 238.98/239.32 Found x20:=(x2 x11):(cP X)
% 238.98/239.32 Found (x2 x11) as proof of (cP X)
% 238.98/239.32 Found (x2 x11) as proof of (cP X)
% 238.98/239.32 Found x50:=(x5 x40):(cP X0)
% 238.98/239.32 Instantiate: X:=X0:fofType
% 238.98/239.32 Found (x5 x40) as proof of (cP X)
% 238.98/239.32 Found (x5 x40) as proof of (cP X)
% 238.98/239.32 Found x20:=(x2 x40):(cP X)
% 238.98/239.32 Found (x2 x40) as proof of (cP X)
% 238.98/239.32 Found (x2 x40) as proof of (cP X)
% 238.98/239.32 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x4 x50) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x20:(cP X)
% 238.98/239.32 Instantiate: X0:=X:fofType
% 238.98/239.32 Found x20 as proof of (cP X0)
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x20:(cP X)
% 238.98/239.32 Found x20 as proof of (cP X)
% 238.98/239.32 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x20:(cP X)
% 238.98/239.32 Instantiate: X0:=X:fofType
% 238.98/239.32 Found x20 as proof of (cP X0)
% 238.98/239.32 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 238.98/239.32 Found x20:(cP X)
% 238.98/239.32 Instantiate: X0:=X:fofType
% 238.98/239.32 Found x20 as proof of (cP X0)
% 238.98/239.32 Found x20:=(x2 x3):(cP X)
% 238.98/239.32 Instantiate: X:=X0:fofType
% 238.98/239.32 Found (x2 x3) as proof of (cP X0)
% 238.98/239.32 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 238.98/239.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 238.98/239.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 238.98/239.32 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found x20:=(x2 x3):(cP X)
% 238.98/239.32 Instantiate: X:=X0:fofType
% 238.98/239.32 Found (x2 x3) as proof of (cP X0)
% 238.98/239.32 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 238.98/239.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 238.98/239.32 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 238.98/239.32 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 238.98/239.32 Found x20:(cP X)
% 238.98/239.32 Found x20 as proof of (cP X)
% 238.98/239.32 Found x21:(cP X)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Found x20 as proof of (cP X)
% 239.99/240.38 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Instantiate: X0:=X:fofType
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x21:(cP X)
% 239.99/240.38 Instantiate: X0:=X:fofType
% 239.99/240.38 Found x21 as proof of (cP X0)
% 239.99/240.38 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found (x2 x10) as proof of (cP X0)
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x20:=(x2 x3):(cP X)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found (x2 x3) as proof of (cP X0)
% 239.99/240.38 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 239.99/240.38 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 239.99/240.38 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 239.99/240.38 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 239.99/240.38 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 239.99/240.38 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x50:(cP X0)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found x50 as proof of (cP X)
% 239.99/240.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x20:(cP X)
% 239.99/240.38 Instantiate: X0:=X:fofType
% 239.99/240.38 Found x20 as proof of (cP X0)
% 239.99/240.38 Found x20:=(x2 x11):(cP X)
% 239.99/240.38 Found (x2 x11) as proof of (cP X0)
% 239.99/240.38 Found (x2 x11) as proof of (cP X0)
% 239.99/240.38 Found (x2 x11) as proof of (cP X0)
% 239.99/240.38 Found x20:=(x2 x40):(cP X)
% 239.99/240.38 Found (x2 x40) as proof of (cP X0)
% 239.99/240.38 Found (x2 x40) as proof of (cP X0)
% 239.99/240.38 Found (x2 x40) as proof of (cP X0)
% 239.99/240.38 Found x20:=(x2 x10):(cP X)
% 239.99/240.38 Found (x2 x10) as proof of (cP X)
% 239.99/240.38 Found (x2 x10) as proof of (cP X)
% 239.99/240.38 Found x20:=(x2 x3):(cP X)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found (x2 x3) as proof of (cP X0)
% 239.99/240.38 Found x50:=(x5 x11):(cP X0)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found (x5 x11) as proof of (cP X)
% 239.99/240.38 Found (x5 x11) as proof of (cP X)
% 239.99/240.38 Found x20:=(x2 x11):(cP X)
% 239.99/240.38 Instantiate: X0:=X:fofType
% 239.99/240.38 Found (x2 x11) as proof of (cP X0)
% 239.99/240.38 Found (x2 x11) as proof of (cP X0)
% 239.99/240.38 Found x50:=(x5 x11):(cP X0)
% 239.99/240.38 Found (x5 x11) as proof of (cP X0)
% 239.99/240.38 Found (x5 x11) as proof of (cP X0)
% 239.99/240.38 Found x20:=(x2 x11):(cP X)
% 239.99/240.38 Found (x2 x11) as proof of (cP X)
% 239.99/240.38 Found (x2 x11) as proof of (cP X)
% 239.99/240.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 239.99/240.38 Found x20:=(x2 x3):(cP X)
% 239.99/240.38 Instantiate: X:=X0:fofType
% 239.99/240.38 Found (x2 x3) as proof of (cP X0)
% 239.99/240.38 Found x50:=(x5 x11):(cP X0)
% 239.99/240.38 Found (x5 x11) as proof of (cP X0)
% 239.99/240.38 Found (x5 x11) as proof of (cP X0)
% 240.97/241.34 Found x20:=(x2 x3):(cP X)
% 240.97/241.34 Found (x2 x3) as proof of (cP X)
% 240.97/241.34 Found (x2 x3) as proof of (cP X)
% 240.97/241.34 Found x20:=(x2 x11):(cP X)
% 240.97/241.34 Instantiate: X:=X0:fofType
% 240.97/241.34 Found (x2 x11) as proof of (cP X0)
% 240.97/241.34 Found (x2 x11) as proof of (cP X0)
% 240.97/241.34 Found x20:=(x2 x10):(cP X)
% 240.97/241.34 Found (x2 x10) as proof of (cP X0)
% 240.97/241.34 Found (x2 x10) as proof of (cP X0)
% 240.97/241.34 Found (x2 x10) as proof of (cP X0)
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x20:=(x2 x40):(cP X)
% 240.97/241.34 Found (x2 x40) as proof of (cP X)
% 240.97/241.34 Found (x2 x40) as proof of (cP X)
% 240.97/241.34 Found x50:=(x5 x11):(cP X0)
% 240.97/241.34 Instantiate: X:=X0:fofType
% 240.97/241.34 Found (x5 x11) as proof of (cP X)
% 240.97/241.34 Found (x5 x11) as proof of (cP X)
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x50:=(x5 x11):(cP X0)
% 240.97/241.34 Found (x5 x11) as proof of (cP X0)
% 240.97/241.34 Found (x5 x11) as proof of (cP X0)
% 240.97/241.34 Found x20:=(x2 x11):(cP X)
% 240.97/241.34 Found (x2 x11) as proof of (cP X)
% 240.97/241.34 Found (x2 x11) as proof of (cP X)
% 240.97/241.34 Found x20:=(x2 x40):(cP X)
% 240.97/241.34 Instantiate: X0:=X:fofType
% 240.97/241.34 Found (x2 x40) as proof of (cP X0)
% 240.97/241.34 Found (x2 x40) as proof of (cP X0)
% 240.97/241.34 Found x50:=(x5 x40):(cP X0)
% 240.97/241.34 Found (x5 x40) as proof of (cP X0)
% 240.97/241.34 Found (x5 x40) as proof of (cP X0)
% 240.97/241.34 Found x50:=(x5 x11):(cP X0)
% 240.97/241.34 Instantiate: X:=X0:fofType
% 240.97/241.34 Found (x5 x11) as proof of (cP X)
% 240.97/241.34 Found (x5 x11) as proof of (cP X)
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x20:=(x2 x11):(cP X)
% 240.97/241.34 Found (x2 x11) as proof of (cP X)
% 240.97/241.34 Found (x2 x11) as proof of (cP X)
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x20:=(x2 x10):(cP X)
% 240.97/241.34 Found (x2 x10) as proof of (cP X)
% 240.97/241.34 Found (x2 x10) as proof of (cP X)
% 240.97/241.34 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x6:(cP x5)
% 240.97/241.34 Instantiate: X0:=x5:fofType
% 240.97/241.34 Found x6 as proof of (cP X0)
% 240.97/241.34 Found x20:=(x2 x10):(cP X)
% 240.97/241.34 Found (x2 x10) as proof of (cP X)
% 240.97/241.34 Found (x2 x10) as proof of (cP X)
% 240.97/241.34 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x21:(cP X)
% 240.97/241.34 Instantiate: X:=X0:fofType
% 240.97/241.34 Found x21 as proof of (cP X0)
% 240.97/241.34 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x21:(cP X)
% 240.97/241.34 Instantiate: X:=X0:fofType
% 240.97/241.34 Found x21 as proof of (cP X0)
% 240.97/241.34 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 240.97/241.34 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X0:=X:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Found x20 as proof of (cP X)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X0:=X:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Found x20 as proof of (cP X)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X0:=X:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x20:=(x2 x10):(cP X)
% 243.59/243.94 Found (x2 x10) as proof of (cP X)
% 243.59/243.94 Found (x2 x10) as proof of (cP X)
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Instantiate: x3:=X:fofType
% 243.59/243.94 Found (x2 x11) as proof of (cP x3)
% 243.59/243.94 Found (x2 x11) as proof of (cP x3)
% 243.59/243.94 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x12):(cP X)
% 243.59/243.94 Found (x2 x12) as proof of (cP X)
% 243.59/243.94 Found (x2 x12) as proof of (cP X)
% 243.59/243.94 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found (x2 x10) as proof of (cP X0)
% 243.59/243.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Found (x2 x11) as proof of (cP x3)
% 243.59/243.94 Found (x2 x11) as proof of (cP x3)
% 243.59/243.94 Found (x2 x11) as proof of (cP x3)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X0:=X:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x10:=(x1 x23):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x1 x23) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x5:(cP x4)
% 243.59/243.94 Instantiate: X0:=x4:fofType
% 243.59/243.94 Found x5 as proof of (cP X0)
% 243.59/243.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x20:=(x2 x13):(cP X)
% 243.59/243.94 Found (x2 x13) as proof of (cP X)
% 243.59/243.94 Found (x2 x13) as proof of (cP X)
% 243.59/243.94 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x21:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x21 as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x3):(cP X)
% 243.59/243.94 Found (x2 x3) as proof of (cP X)
% 243.59/243.94 Found (x2 x3) as proof of (cP X)
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x21:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x21 as proof of (cP X0)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x3):(cP X)
% 243.59/243.94 Found (x2 x3) as proof of (cP X)
% 243.59/243.94 Found (x2 x3) as proof of (cP X)
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found (x2 x11) as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x11):(cP X)
% 243.59/243.94 Found (x2 x11) as proof of (cP X)
% 243.59/243.94 Found (x2 x11) as proof of (cP X)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20:=(x2 x10):(cP X)
% 243.59/243.94 Found (x2 x10) as proof of (cP X)
% 243.59/243.94 Found (x2 x10) as proof of (cP X)
% 243.59/243.94 Found x20:(cP X)
% 243.59/243.94 Instantiate: X:=X0:fofType
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x20 as proof of (cP X0)
% 243.59/243.94 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 243.59/243.94 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x10):(cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found x6:(cP x5)
% 246.79/247.17 Instantiate: X0:=x5:fofType
% 246.79/247.17 Found x6 as proof of (cP X0)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x10):(cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found x20:(cP X)
% 246.79/247.17 Found x20 as proof of (cP X)
% 246.79/247.17 Found x20:(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found x20 as proof of (cP X0)
% 246.79/247.17 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x12):(cP X)
% 246.79/247.17 Found (x2 x12) as proof of (cP X)
% 246.79/247.17 Found (x2 x12) as proof of (cP X)
% 246.79/247.17 Found x4:(cP x3)
% 246.79/247.17 Instantiate: X:=x3:fofType
% 246.79/247.17 Found x4 as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x12):(cP X)
% 246.79/247.17 Found (x2 x12) as proof of (cP X)
% 246.79/247.17 Found (x2 x12) as proof of (cP X)
% 246.79/247.17 Found x4:(cP x3)
% 246.79/247.17 Instantiate: X:=x3:fofType
% 246.79/247.17 Found x4 as proof of (cP X)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:(cP X)
% 246.79/247.17 Found x20 as proof of (cP X)
% 246.79/247.17 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:(cP X)
% 246.79/247.17 Found x20 as proof of (cP X)
% 246.79/247.17 Found x20:(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found x20 as proof of (cP X0)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x13):(cP X)
% 246.79/247.17 Found (x2 x13) as proof of (cP X)
% 246.79/247.17 Found (x2 x13) as proof of (cP X)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x41):(cP X)
% 246.79/247.17 Found (x2 x41) as proof of (cP X)
% 246.79/247.17 Found (x2 x41) as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x40):(cP X)
% 246.79/247.17 Found (x2 x40) as proof of (cP X)
% 246.79/247.17 Found (x2 x40) as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x40):(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found (x2 x40) as proof of (cP X0)
% 246.79/247.17 Found (x2 x40) as proof of (cP X0)
% 246.79/247.17 Found x20:=(x2 x10):(cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x11):(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found (x2 x11) as proof of (cP X0)
% 246.79/247.17 Found (x2 x11) as proof of (cP X0)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x41):(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found (x2 x41) as proof of (cP X0)
% 246.79/247.17 Found (x2 x41) as proof of (cP X0)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found x20:=(x2 x40):(cP X)
% 246.79/247.17 Found (x2 x40) as proof of (cP X)
% 246.79/247.17 Found (x2 x40) as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x10):(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found (x2 x10) as proof of (cP X0)
% 246.79/247.17 Found (x2 x10) as proof of (cP X0)
% 246.79/247.17 Found x20:=(x2 x10):(cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found (x2 x10) as proof of (cP X)
% 246.79/247.17 Found x20:=(x2 x11):(cP X)
% 246.79/247.17 Instantiate: X0:=X:fofType
% 246.79/247.17 Found (x2 x11) as proof of (cP X0)
% 246.79/247.17 Found (x2 x11) as proof of (cP X0)
% 246.79/247.17 Found x20:=(x2 x11):(cP X)
% 246.79/247.17 Found (x2 x11) as proof of (cP X)
% 246.79/247.17 Found (x2 x11) as proof of (cP X)
% 246.79/247.17 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 246.79/247.17 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x20:(cP X)
% 248.87/249.27 Instantiate: X0:=X:fofType
% 248.87/249.27 Found x20 as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x11):(cP X)
% 248.87/249.27 Found (x2 x11) as proof of (cP X)
% 248.87/249.27 Found (x2 x11) as proof of (cP X)
% 248.87/249.27 Found x20:=(x2 x10):(cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X)
% 248.87/249.27 Found x21:(cP X)
% 248.87/249.27 Instantiate: X0:=X:fofType
% 248.87/249.27 Found x21 as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x11):(cP X)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x40):(cP X)
% 248.87/249.27 Found (x2 x40) as proof of (cP X0)
% 248.87/249.27 Found (x2 x40) as proof of (cP X0)
% 248.87/249.27 Found (x2 x40) as proof of (cP X0)
% 248.87/249.27 Found x20:(cP X)
% 248.87/249.27 Instantiate: X:=X0:fofType
% 248.87/249.27 Found x20 as proof of (cP X0)
% 248.87/249.27 Found x20 as proof of (cP X0)
% 248.87/249.27 Found x21:(cP X)
% 248.87/249.27 Instantiate: X0:=X:fofType
% 248.87/249.27 Found x21 as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x11):(cP X)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found x21:(cP X)
% 248.87/249.27 Instantiate: X0:=X:fofType
% 248.87/249.27 Found x21 as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x10):(cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x10):(cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found x4:(cP x3)
% 248.87/249.27 Instantiate: X:=x3:fofType
% 248.87/249.27 Found x4 as proof of (cP X)
% 248.87/249.27 Found x20:=(x2 x10):(cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x10):(cP X)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found (x2 x10) as proof of (cP X0)
% 248.87/249.27 Found x4:(cP x3)
% 248.87/249.27 Instantiate: X:=x3:fofType
% 248.87/249.27 Found x4 as proof of (cP X)
% 248.87/249.27 Found x7:(cP x6)
% 248.87/249.27 Instantiate: X0:=x6:fofType
% 248.87/249.27 Found x7 as proof of (cP X0)
% 248.87/249.27 Found x7:(cP x6)
% 248.87/249.27 Instantiate: X:=x6:fofType
% 248.87/249.27 Found x7 as proof of (cP X)
% 248.87/249.27 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 248.87/249.27 Found x20:=(x2 x6):(cP X)
% 248.87/249.27 Instantiate: X:=X1:fofType
% 248.87/249.27 Found (x2 x6) as proof of (cP X1)
% 248.87/249.27 Found (fun (x8:(cP x7))=> (x2 x6)) as proof of (cP X1)
% 248.87/249.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of ((cP x7)->(cP X1))
% 248.87/249.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 248.87/249.27 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 248.87/249.27 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 248.87/249.27 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 248.87/249.27 Found x20:(cP X)
% 248.87/249.27 Instantiate: X0:=X:fofType
% 248.87/249.27 Found x20 as proof of (cP X0)
% 248.87/249.27 Found x20:=(x2 x12):(cP X)
% 248.87/249.27 Found (x2 x12) as proof of (cP X)
% 248.87/249.27 Found (x2 x12) as proof of (cP X)
% 248.87/249.27 Found x20:=(x2 x12):(cP X)
% 248.87/249.27 Found (x2 x12) as proof of (cP X)
% 248.87/249.27 Found (x2 x12) as proof of (cP X)
% 248.87/249.27 Found x50:=(x5 x6):(cP X0)
% 248.87/249.27 Instantiate: X0:=X1:fofType
% 248.87/249.27 Found (x5 x6) as proof of (cP X1)
% 248.87/249.27 Found (fun (x8:(cP x7))=> (x5 x6)) as proof of (cP X1)
% 248.87/249.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x6)) as proof of ((cP x7)->(cP X1))
% 248.87/249.27 Found (fun (x7:fofType) (x8:(cP x7))=> (x5 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 248.87/249.27 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 248.87/249.27 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 248.87/249.27 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x5 x6))) as proof of (cP X1)
% 248.87/249.27 Found x20:=(x2 x11):(cP X)
% 248.87/249.27 Instantiate: X:=X0:fofType
% 248.87/249.27 Found (x2 x11) as proof of (cP X0)
% 248.87/249.27 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 248.87/249.27 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 248.87/249.27 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 249.08/249.50 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found x20:=(x2 x11):(cP X)
% 249.08/249.50 Instantiate: X:=X0:fofType
% 249.08/249.50 Found (x2 x11) as proof of (cP X0)
% 249.08/249.50 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 249.08/249.50 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found x20:=(x2 x11):(cP X)
% 249.08/249.50 Instantiate: X:=X0:fofType
% 249.08/249.50 Found (x2 x11) as proof of (cP X0)
% 249.08/249.50 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 249.08/249.50 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found x20:=(x2 x11):(cP X)
% 249.08/249.50 Instantiate: X:=X0:fofType
% 249.08/249.50 Found (x2 x11) as proof of (cP X0)
% 249.08/249.50 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 249.08/249.50 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found x20:=(x2 x11):(cP X)
% 249.08/249.50 Instantiate: X:=X0:fofType
% 249.08/249.50 Found (x2 x11) as proof of (cP X0)
% 249.08/249.50 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 249.08/249.50 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 249.08/249.50 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 249.08/249.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 249.08/249.50 Found x20:=(x2 x11):(cP X)
% 249.08/249.50 Instantiate: X:=X0:fofType
% 249.08/249.50 Found (x2 x11) as proof of (cP X0)
% 249.08/249.50 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 249.08/249.50 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 250.65/251.06 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 250.65/251.06 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 250.65/251.06 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 250.65/251.06 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 250.65/251.06 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x20:(cP X)
% 250.65/251.06 Instantiate: X:=X0:fofType
% 250.65/251.06 Found x20 as proof of (cP X0)
% 250.65/251.06 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 250.65/251.06 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 250.65/251.06 Found x20:=(x2 x11):(cP X)
% 250.65/251.06 Found (x2 x11) as proof of (cP X)
% 250.65/251.06 Found (x2 x11) as proof of (cP X)
% 250.65/251.06 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x6:(cP x5)
% 250.65/251.06 Instantiate: X0:=x5:fofType
% 250.65/251.06 Found x6 as proof of (cP X0)
% 250.65/251.06 Found x20:=(x2 x40):(cP X)
% 250.65/251.06 Found (x2 x40) as proof of (cP X)
% 250.65/251.06 Found (x2 x40) as proof of (cP X)
% 250.65/251.06 Found x20:(cP X)
% 250.65/251.06 Instantiate: X0:=X:fofType
% 250.65/251.06 Found x20 as proof of (cP X0)
% 250.65/251.06 Found x20:=(x2 x40):(cP X)
% 250.65/251.06 Instantiate: X0:=X:fofType
% 250.65/251.06 Found (x2 x40) as proof of (cP X0)
% 250.65/251.06 Found (x2 x40) as proof of (cP X0)
% 250.65/251.06 Found x20:=(x2 x10):(cP X)
% 250.65/251.06 Found (x2 x10) as proof of (cP X)
% 250.65/251.06 Found (x2 x10) as proof of (cP X)
% 250.65/251.06 Found x20:=(x2 x11):(cP X)
% 250.65/251.06 Instantiate: X0:=X:fofType
% 250.65/251.06 Found (x2 x11) as proof of (cP X0)
% 250.65/251.06 Found (x2 x11) as proof of (cP X0)
% 250.65/251.06 Found x20:=(x2 x6):(cP X)
% 250.65/251.06 Found (x2 x6) as proof of (cP X)
% 250.65/251.06 Found (x2 x6) as proof of (cP X)
% 250.65/251.06 Found x50:=(x5 x10):(cP X0)
% 250.65/251.06 Instantiate: X0:=X1:fofType
% 250.65/251.06 Found (x5 x10) as proof of (cP X1)
% 250.65/251.06 Found x20:=(x2 x10):(cP X)
% 250.65/251.06 Instantiate: X:=X1:fofType
% 250.65/251.06 Found (x2 x10) as proof of (cP X1)
% 250.65/251.06 Found x50:=(x5 x10):(cP X0)
% 250.65/251.06 Found (x5 x10) as proof of (cP X1)
% 250.65/251.06 Found (x5 x10) as proof of (cP X1)
% 250.65/251.06 Found x20:=(x2 x10):(cP X)
% 250.65/251.06 Found (x2 x10) as proof of (cP X1)
% 250.65/251.06 Found (x2 x10) as proof of (cP X1)
% 250.65/251.06 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (x5 x10) as proof of (cP X1)
% 250.65/251.06 Found (x5 x10) as proof of (cP X1)
% 250.65/251.06 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (x2 x10) as proof of (cP X1)
% 250.65/251.06 Found (x2 x10) as proof of (cP X1)
% 250.65/251.06 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (x2 x11) as proof of (cP X0)
% 250.65/251.06 Found (x2 x11) as proof of (cP X0)
% 250.65/251.06 Found (x2 x11) as proof of (cP X0)
% 250.65/251.06 Found x50:=(x5 x6):(cP X0)
% 250.65/251.06 Found (x5 x6) as proof of (cP X0)
% 250.65/251.06 Found (x5 x6) as proof of (cP X0)
% 250.65/251.06 Found x20:=(x2 x40):(cP X)
% 250.65/251.06 Instantiate: X:=X1:fofType
% 250.65/251.06 Found (x2 x40) as proof of (cP X1)
% 250.65/251.06 Found x50:=(x5 x40):(cP X0)
% 250.65/251.06 Instantiate: X0:=X1:fofType
% 250.65/251.06 Found (x5 x40) as proof of (cP X1)
% 250.65/251.06 Found x50:=(x5 x40):(cP X0)
% 250.65/251.06 Found (x5 x40) as proof of (cP X1)
% 250.65/251.06 Found (x5 x40) as proof of (cP X1)
% 250.65/251.06 Found x20:=(x2 x40):(cP X)
% 250.65/251.06 Found (x2 x40) as proof of (cP X1)
% 250.65/251.06 Found (x2 x40) as proof of (cP X1)
% 250.65/251.06 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 250.65/251.06 Found (x5 x40) as proof of (cP X1)
% 250.65/251.06 Found (x5 x40) as proof of (cP X1)
% 250.65/251.06 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x2 x40) as proof of (cP X1)
% 252.37/252.72 Found (x2 x40) as proof of (cP X1)
% 252.37/252.72 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x2 x40) as proof of (cP X0)
% 252.37/252.72 Found (x2 x40) as proof of (cP X0)
% 252.37/252.72 Found (x2 x40) as proof of (cP X0)
% 252.37/252.72 Found x20:=(x2 x12):(cP X)
% 252.37/252.72 Found (x2 x12) as proof of (cP X)
% 252.37/252.72 Found (x2 x12) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x12):(cP X)
% 252.37/252.72 Found (x2 x12) as proof of (cP X)
% 252.37/252.72 Found (x2 x12) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x11):(cP X)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found x4:(cP x3)
% 252.37/252.72 Instantiate: X:=x3:fofType
% 252.37/252.72 Found x4 as proof of (cP X)
% 252.37/252.72 Found x4:(cP x3)
% 252.37/252.72 Instantiate: X:=x3:fofType
% 252.37/252.72 Found x4 as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x20:=(x2 x3):(cP X)
% 252.37/252.72 Found (x2 x3) as proof of (cP X)
% 252.37/252.72 Found (x2 x3) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x11):(cP X)
% 252.37/252.72 Instantiate: X:=X0:fofType
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x11):(cP X)
% 252.37/252.72 Instantiate: X:=X0:fofType
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found x20:=(x2 x11):(cP X)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X)
% 252.37/252.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x7:(cP x6)
% 252.37/252.72 Instantiate: X0:=x6:fofType
% 252.37/252.72 Found x7 as proof of (cP X0)
% 252.37/252.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x20:=(x2 x3):(cP X)
% 252.37/252.72 Found (x2 x3) as proof of (cP X)
% 252.37/252.72 Found (x2 x3) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x11):(cP X)
% 252.37/252.72 Instantiate: X:=X0:fofType
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found (x2 x11) as proof of (cP X0)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found x5:(cP x4)
% 252.37/252.72 Instantiate: X0:=x4:fofType
% 252.37/252.72 Found x5 as proof of (cP X0)
% 252.37/252.72 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 252.37/252.72 Found x20:=(x2 x40):(cP X)
% 252.37/252.72 Found (x2 x40) as proof of (cP X)
% 252.37/252.72 Found (x2 x40) as proof of (cP X)
% 252.37/252.72 Found x20:=(x2 x10):(cP X)
% 252.37/252.72 Instantiate: X0:=X:fofType
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found (x2 x10) as proof of (cP X0)
% 252.37/252.72 Found x60:=(x6 x3):(cP X1)
% 252.37/252.72 Instantiate: X1:=X0:fofType
% 252.37/252.72 Found (x6 x3) as proof of (cP X0)
% 252.37/252.72 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (cP X0)
% 252.37/252.72 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 252.37/252.72 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 252.37/252.76 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 252.37/252.76 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 252.37/252.76 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 252.37/252.76 Found (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))) as proof of (cP X0)
% 252.37/252.76 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (cP X0)
% 252.37/252.76 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 252.37/252.76 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 252.37/252.76 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 252.37/252.76 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 252.37/252.76 Found ((conj10 (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.76 Found (((conj1 (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.76 Found ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.76 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.76 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))))
% 252.37/252.77 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))))
% 252.37/252.77 Found (and_rect00 (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.77 Found ((and_rect0 ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 252.37/252.77 Found (((fun (P:Type) (x1:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x1) x0)) ((and ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) (fun (x3:(forall (X0:fofType), (cP X0)))=> (x1 (x3 X)))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))))) as proof of ((and ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X))))
% 253.68/254.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Found (x2 x11) as proof of (cP X)
% 253.68/254.09 Found (x2 x11) as proof of (cP X)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Instantiate: X0:=X:fofType
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x10):(cP X)
% 253.68/254.09 Found (x2 x10) as proof of (cP X)
% 253.68/254.09 Found (x2 x10) as proof of (cP X)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Instantiate: X:=X0:fofType
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Instantiate: X0:=X:fofType
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x11):(cP X)
% 253.68/254.09 Found (x2 x11) as proof of (cP X)
% 253.68/254.09 Found (x2 x11) as proof of (cP X)
% 253.68/254.09 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x20:=(x2 x3):(cP X)
% 253.68/254.09 Instantiate: X:=X0:fofType
% 253.68/254.09 Found (x2 x3) as proof of (cP X0)
% 253.68/254.09 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 253.68/254.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 253.68/254.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 253.68/254.09 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 253.68/254.09 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 253.68/254.09 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 253.68/254.09 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 253.68/254.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 253.68/254.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found (x2 x11) as proof of (cP X0)
% 253.68/254.09 Found x20:=(x2 x12):(cP X)
% 253.68/254.09 Found (x2 x12) as proof of (cP X)
% 253.68/254.09 Found (x2 x12) as proof of (cP X)
% 253.68/254.09 Found x20:=(x2 x12):(cP X)
% 253.68/254.09 Found (x2 x12) as proof of (cP X)
% 253.68/254.09 Found (x2 x12) as proof of (cP X)
% 253.68/254.09 Found x20:(cP X)
% 253.68/254.09 Found x20 as proof of (cP X)
% 253.68/254.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x21:(cP X)
% 253.68/254.09 Instantiate: X:=X0:fofType
% 253.68/254.09 Found x21 as proof of (cP X0)
% 253.68/254.09 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 253.68/254.09 Found x6:(cP x5)
% 253.68/254.09 Instantiate: X0:=x5:fofType
% 253.68/254.09 Found x6 as proof of (cP X0)
% 253.68/254.09 Found x20:(cP X)
% 253.68/254.09 Found x20 as proof of (cP X0)
% 253.68/254.09 Found x21:(cP X)
% 253.68/254.09 Found x21 as proof of (cP X0)
% 254.56/254.97 Found x21:(cP X)
% 254.56/254.97 Found x21 as proof of (cP X0)
% 254.56/254.97 Found x20:=(x2 x3):(cP X)
% 254.56/254.97 Instantiate: X:=X0:fofType
% 254.56/254.97 Found (x2 x3) as proof of (cP X0)
% 254.56/254.97 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 254.56/254.97 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 254.56/254.97 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 254.56/254.97 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 254.56/254.97 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 254.56/254.97 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 254.56/254.97 Found x21:(cP X)
% 254.56/254.97 Instantiate: X:=X0:fofType
% 254.56/254.97 Found x21 as proof of (cP X0)
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Found x20 as proof of (cP X)
% 254.56/254.97 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Found x20 as proof of (cP X)
% 254.56/254.97 Found x21:(cP X)
% 254.56/254.97 Found x21 as proof of (cP X0)
% 254.56/254.97 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x21:(cP X)
% 254.56/254.97 Found x21 as proof of (cP X0)
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Instantiate: X0:=X:fofType
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x20:(cP X)
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x20 as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found (x2 x10) as proof of (cP X0)
% 254.56/254.97 Found x20:=(x2 x10):(cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found x20:=(x2 x10):(cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found x20:=(x2 x10):(cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found (x2 x10) as proof of (cP X)
% 254.56/254.97 Found x20:=(x2 x3):(cP X)
% 254.56/254.97 Instantiate: X:=X0:fofType
% 254.56/254.97 Found (x2 x3) as proof of (cP X0)
% 254.56/254.97 Found x20:=(x2 x11):(cP X)
% 254.56/254.97 Instantiate: X0:=X:fofType
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found (x2 x11) as proof of (cP X0)
% 254.56/254.97 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x20:=(x2 x11):(cP X)
% 254.56/254.97 Found (x2 x11) as proof of (cP X)
% 254.56/254.97 Found (x2 x11) as proof of (cP X)
% 254.56/254.97 Found x7:(cP x6)
% 254.56/254.97 Instantiate: X0:=x6:fofType
% 254.56/254.97 Found x7 as proof of (cP X0)
% 254.56/254.97 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 254.56/254.97 Found x20:=(x2 x3):(cP X)
% 254.56/254.97 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x3) as proof of (cP X0)
% 255.97/256.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x20:=(x2 x3):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x3) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x3):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x3) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X0:=X:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X0:=X:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x21:(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found x21 as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x10):(cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x10):(cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x21:(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found x21 as proof of (cP X0)
% 255.97/256.38 Found x20:(cP X)
% 255.97/256.38 Found x20 as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x12):(cP X)
% 255.97/256.38 Found (x2 x12) as proof of (cP X)
% 255.97/256.38 Found (x2 x12) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x12):(cP X)
% 255.97/256.38 Found (x2 x12) as proof of (cP X)
% 255.97/256.38 Found (x2 x12) as proof of (cP X)
% 255.97/256.38 Found x20:(cP X)
% 255.97/256.38 Found x20 as proof of (cP X0)
% 255.97/256.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x20:(cP X)
% 255.97/256.38 Instantiate: X0:=X:fofType
% 255.97/256.38 Found x20 as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x10):(cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x10):(cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found (x2 x10) as proof of (cP X)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Instantiate: X:=X0:fofType
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x20:=(x2 x11):(cP X)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 255.97/256.38 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found (x2 x40) as proof of (cP X0)
% 256.75/257.09 Found (x2 x40) as proof of (cP X0)
% 256.75/257.09 Found (x2 x40) as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x11):(cP X)
% 256.75/257.09 Found (x2 x11) as proof of (cP X)
% 256.75/257.09 Found (x2 x11) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x11):(cP X)
% 256.75/257.09 Instantiate: X0:=X:fofType
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found x20:(cP X)
% 256.75/257.09 Instantiate: X0:=X:fofType
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x3) as proof of (cP X0)
% 256.75/257.09 Found x21:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x21 as proof of (cP X0)
% 256.75/257.09 Found x20:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x3) as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Found (x2 x3) as proof of (cP X)
% 256.75/257.09 Found (x2 x3) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x11):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x3) as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Found (x2 x3) as proof of (cP X)
% 256.75/257.09 Found (x2 x3) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x11):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x11) as proof of (cP X0)
% 256.75/257.09 Found x20:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x21:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x21 as proof of (cP X0)
% 256.75/257.09 Found x20:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x20:(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x20 as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x3) as proof of (cP X0)
% 256.75/257.09 Found x50:=(x5 x40):(cP X0)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x5 x40) as proof of (cP X)
% 256.75/257.09 Found (x5 x40) as proof of (cP X)
% 256.75/257.09 Found x50:=(x5 x41):(cP X0)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x5 x41) as proof of (cP X)
% 256.75/257.09 Found (x5 x41) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x41):(cP X)
% 256.75/257.09 Found (x2 x41) as proof of (cP X)
% 256.75/257.09 Found (x2 x41) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x41):(cP X)
% 256.75/257.09 Instantiate: X0:=X:fofType
% 256.75/257.09 Found (x2 x41) as proof of (cP X0)
% 256.75/257.09 Found (x2 x41) as proof of (cP X0)
% 256.75/257.09 Found x50:=(x5 x41):(cP X0)
% 256.75/257.09 Found (x5 x41) as proof of (cP X0)
% 256.75/257.09 Found (x5 x41) as proof of (cP X0)
% 256.75/257.09 Found x50:=(x5 x40):(cP X0)
% 256.75/257.09 Found (x5 x40) as proof of (cP X0)
% 256.75/257.09 Found (x5 x40) as proof of (cP X0)
% 256.75/257.09 Found x20:=(x2 x40):(cP X)
% 256.75/257.09 Found (x2 x40) as proof of (cP X)
% 256.75/257.09 Found (x2 x40) as proof of (cP X)
% 256.75/257.09 Found x20:=(x2 x3):(cP X)
% 256.75/257.09 Instantiate: X:=X0:fofType
% 256.75/257.09 Found (x2 x3) as proof of (cP X0)
% 256.75/257.09 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 256.75/257.09 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 256.75/257.09 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 256.75/257.09 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 256.75/257.09 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 256.75/257.09 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 257.06/257.45 Found x4:(cP x3)
% 257.06/257.45 Instantiate: X:=x3:fofType
% 257.06/257.45 Found x4 as proof of (cP X)
% 257.06/257.45 Found x60:=(x6 x3):(cP X1)
% 257.06/257.45 Instantiate: X1:=X0:fofType
% 257.06/257.45 Found (x6 x3) as proof of (cP X0)
% 257.06/257.45 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (cP X0)
% 257.06/257.45 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 257.06/257.45 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 257.06/257.45 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 257.06/257.45 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 257.06/257.45 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x6 x3))) as proof of (cP X0)
% 257.06/257.45 Found (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))) as proof of (cP X0)
% 257.06/257.45 Found (fun (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (cP X0)
% 257.06/257.45 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (forall (X:fofType), (cP X))
% 257.06/257.45 Found (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3)))) as proof of (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))
% 257.06/257.45 Found ((conj10 (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.06/257.45 Found (((conj1 ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.06/257.45 Found ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.06/257.45 Found (fun (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.06/257.45 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))))
% 257.06/257.45 Found (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X))))) as proof of (((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))))
% 257.18/257.58 Found (and_rect00 (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.18/257.58 Found ((and_rect0 ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X:fofType), (cP X)))=> (x1 (x3 X)))))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 257.18/257.58 Found (((fun (P:Type) (x1:(((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))->P)))=> (((((and_rect ((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X))) P) x1) x0)) ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))) (fun (x1:((cP X)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x2:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X)))=> ((((conj (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X0:fofType), (cP X0)))) ((forall (X0:fofType), (cP X0))->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (fun (x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))) (X0:fofType)=> (((fun (P:Type) (x5:(((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->P)))=> (((((and_rect ((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))) P) x5) (x X0))) (cP X0)) (fun (x5:((cP X0)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x6 x3))))) (fun (x3:(forall (X0:fofType), (cP X0)))=> (x1 (x3 X)))))) as proof of ((and (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(forall (X:fofType), (cP X)))) ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y)))))
% 258.39/258.76 Found x20:(cP X)
% 258.39/258.76 Found x20 as proof of (cP X)
% 258.39/258.76 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 258.39/258.76 Found x50:=(x5 x11):(cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found x20:=(x2 x11):(cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found x50:=(x5 x11):(cP X0)
% 258.39/258.76 Instantiate: X:=X0:fofType
% 258.39/258.76 Found (x5 x11) as proof of (cP X)
% 258.39/258.76 Found (x5 x11) as proof of (cP X)
% 258.39/258.76 Found x50:=(x5 x11):(cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found x20:=(x2 x11):(cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found x50:=(x5 x11):(cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found (x5 x11) as proof of (cP X0)
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x6:(cP x5)
% 258.39/258.76 Instantiate: X0:=x5:fofType
% 258.39/258.76 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 258.39/258.76 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x2 x11) as proof of (cP X0)
% 258.39/258.76 Found (x2 x11) as proof of (cP X0)
% 258.39/258.76 Found (x2 x11) as proof of (cP X0)
% 258.39/258.76 Found x6:(cP x5)
% 258.39/258.76 Instantiate: X0:=x5:fofType
% 258.39/258.76 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 258.39/258.76 Found x20:=(x2 x40):(cP X)
% 258.39/258.76 Found (x2 x40) as proof of (cP X)
% 258.39/258.76 Found (x2 x40) as proof of (cP X)
% 258.39/258.76 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x50:=(x5 x11):(cP X0)
% 258.39/258.76 Instantiate: X:=X0:fofType
% 258.39/258.76 Found (x5 x11) as proof of (cP X)
% 258.39/258.76 Found (x5 x11) as proof of (cP X)
% 258.39/258.76 Found x20:=(x2 x40):(cP X)
% 258.39/258.76 Instantiate: X0:=X:fofType
% 258.39/258.76 Found (x2 x40) as proof of (cP X0)
% 258.39/258.76 Found (x2 x40) as proof of (cP X0)
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x50:=(x5 x40):(cP X0)
% 258.39/258.76 Found (x5 x40) as proof of (cP X0)
% 258.39/258.76 Found (x5 x40) as proof of (cP X0)
% 258.39/258.76 Found x20:=(x2 x11):(cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found (x2 x11) as proof of (cP X)
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 258.39/258.76 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x20:=(x2 x3):(cP X)
% 259.56/259.93 Found (x2 x3) as proof of (cP X)
% 259.56/259.93 Found (x2 x3) as proof of (cP X)
% 259.56/259.93 Found x20:=(x2 x11):(cP X)
% 259.56/259.93 Instantiate: X:=X0:fofType
% 259.56/259.93 Found (x2 x11) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x40):(cP X)
% 259.56/259.93 Found (x2 x40) as proof of (cP X0)
% 259.56/259.93 Found (x2 x40) as proof of (cP X0)
% 259.56/259.93 Found (x2 x40) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x41):(cP X)
% 259.56/259.93 Found (x2 x41) as proof of (cP X0)
% 259.56/259.93 Found (x2 x41) as proof of (cP X0)
% 259.56/259.93 Found (x2 x41) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x3):(cP X)
% 259.56/259.93 Found (x2 x3) as proof of (cP X)
% 259.56/259.93 Found (x2 x3) as proof of (cP X)
% 259.56/259.93 Found x20:=(x2 x11):(cP X)
% 259.56/259.93 Instantiate: X:=X0:fofType
% 259.56/259.93 Found (x2 x11) as proof of (cP X0)
% 259.56/259.93 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x20:(cP X)
% 259.56/259.93 Instantiate: X0:=X:fofType
% 259.56/259.93 Found x20 as proof of (cP X0)
% 259.56/259.93 Found x20:(cP X)
% 259.56/259.93 Found x20 as proof of (cP X)
% 259.56/259.93 Found x20:=(x2 x40):(cP X)
% 259.56/259.93 Found (x2 x40) as proof of (cP X)
% 259.56/259.93 Found (x2 x40) as proof of (cP X)
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 259.56/259.93 Found x21:(cP X)
% 259.56/259.93 Found x21 as proof of (cP X0)
% 259.56/259.93 Found x21:(cP X)
% 259.56/259.93 Instantiate: X:=X0:fofType
% 259.56/259.93 Found x21 as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x40):(cP X)
% 259.56/259.93 Instantiate: X0:=X:fofType
% 259.56/259.93 Found (x2 x40) as proof of (cP X0)
% 259.56/259.93 Found (x2 x40) as proof of (cP X0)
% 259.56/259.93 Found x50:=(x5 x40):(cP X0)
% 259.56/259.93 Found (x5 x40) as proof of (cP X0)
% 259.56/259.93 Found (x5 x40) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x20)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 259.56/259.93 Found x21:(cP X)
% 259.56/259.93 Found x21 as proof of (cP X0)
% 259.56/259.93 Found x21:(cP X)
% 259.56/259.93 Instantiate: X:=X0:fofType
% 259.56/259.93 Found x21 as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X)
% 259.56/259.93 Found x20:=(x2 x11):(cP X)
% 259.56/259.93 Instantiate: X0:=X:fofType
% 259.56/259.93 Found (x2 x11) as proof of (cP X0)
% 259.56/259.93 Found (x2 x11) as proof of (cP X0)
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x5:(cP x4)
% 259.56/259.93 Instantiate: X0:=x4:fofType
% 259.56/259.93 Found x5 as proof of (cP X0)
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x20:=(x2 x10):(cP X)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found (x2 x10) as proof of (cP X0)
% 259.56/259.93 Found x50:=(x5 x11):(cP X0)
% 259.56/259.93 Found (x5 x11) as proof of (cP X0)
% 259.56/259.93 Found (x5 x11) as proof of (cP X0)
% 259.56/259.93 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 259.56/259.93 Found x20:=(x2 x11):(cP X)
% 259.56/259.93 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x50:=(x5 x11):(cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found x50:=(x5 x11):(cP X0)
% 261.05/261.40 Instantiate: X:=X0:fofType
% 261.05/261.40 Found (x5 x11) as proof of (cP X)
% 261.05/261.40 Found (x5 x11) as proof of (cP X)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found x50:=(x5 x11):(cP X0)
% 261.05/261.40 Instantiate: X:=X0:fofType
% 261.05/261.40 Found (x5 x11) as proof of (cP X)
% 261.05/261.40 Found (x5 x11) as proof of (cP X)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Instantiate: X0:=X:fofType
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found x50:=(x5 x11):(cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found (x2 x11) as proof of (cP X)
% 261.05/261.40 Found x20:=(x2 x40):(cP X)
% 261.05/261.40 Found (x2 x40) as proof of (cP X)
% 261.05/261.40 Found (x2 x40) as proof of (cP X)
% 261.05/261.40 Found x50:=(x5 x40):(cP X0)
% 261.05/261.40 Found (x5 x40) as proof of (cP X0)
% 261.05/261.40 Found (x5 x40) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x11):(cP X)
% 261.05/261.40 Instantiate: X0:=X:fofType
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found (x2 x11) as proof of (cP X0)
% 261.05/261.40 Found x50:=(x5 x11):(cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found (x5 x11) as proof of (cP X0)
% 261.05/261.40 Found x6:(cP x5)
% 261.05/261.40 Instantiate: X0:=x5:fofType
% 261.05/261.40 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x6:(cP x5)
% 261.05/261.40 Instantiate: X0:=x5:fofType
% 261.05/261.40 Found x6 as proof of (cP X0)
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Instantiate: X:=X0:fofType
% 261.05/261.40 Found x20 as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x40):(cP X)
% 261.05/261.40 Found (x2 x40) as proof of (cP X0)
% 261.05/261.40 Found (x2 x40) as proof of (cP X0)
% 261.05/261.40 Found (x2 x40) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X)
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Instantiate: X:=X0:fofType
% 261.05/261.40 Found x20 as proof of (cP X0)
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Found x20 as proof of (cP X)
% 261.05/261.40 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Instantiate: X0:=X:fofType
% 261.05/261.40 Found x20 as proof of (cP X0)
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Found x20 as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found x20:(cP X)
% 261.05/261.40 Instantiate: X0:=X:fofType
% 261.05/261.40 Found x20 as proof of (cP X0)
% 261.05/261.40 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found x20:=(x2 x10):(cP X)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 261.05/261.40 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found x20:(cP X)
% 262.87/263.21 Found x20 as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x3):(cP X)
% 262.87/263.21 Found (x2 x3) as proof of (cP X)
% 262.87/263.21 Found (x2 x3) as proof of (cP X)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Instantiate: X:=X0:fofType
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x10):(cP X)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x3):(cP X)
% 262.87/263.21 Found (x2 x3) as proof of (cP X)
% 262.87/263.21 Found (x2 x3) as proof of (cP X)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Instantiate: X:=X0:fofType
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x10):(cP X)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x10):(cP X)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found (x2 x10) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:(cP X)
% 262.87/263.21 Instantiate: X0:=X:fofType
% 262.87/263.21 Found x20 as proof of (cP X0)
% 262.87/263.21 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Instantiate: X0:=X:fofType
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Found (x2 x11) as proof of (cP X)
% 262.87/263.21 Found (x2 x11) as proof of (cP X)
% 262.87/263.21 Found x50:=(x5 x11):(cP X0)
% 262.87/263.21 Found (x5 x11) as proof of (cP X0)
% 262.87/263.21 Found (x5 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x3):(cP X)
% 262.87/263.21 Instantiate: X:=X0:fofType
% 262.87/263.21 Found (x2 x3) as proof of (cP X0)
% 262.87/263.21 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 262.87/263.21 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 262.87/263.21 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 262.87/263.21 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 262.87/263.21 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 262.87/263.21 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x11):(cP X)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found (x2 x11) as proof of (cP X0)
% 262.87/263.21 Found x60:=(x6 X0):(cP X0)
% 262.87/263.21 Found (x6 X0) as proof of (cP X0)
% 262.87/263.21 Found (x6 X0) as proof of (cP X0)
% 262.87/263.21 Found (x4 (x6 X0)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x4 (x6 X0))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x4 (x6 X0))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 262.87/263.21 Found x20:=(x2 x6):(cP X)
% 262.87/263.21 Instantiate: X:=X1:fofType
% 262.87/263.21 Found (x2 x6) as proof of (cP X1)
% 262.87/263.21 Found x50:=(x5 x6):(cP X0)
% 262.87/263.21 Instantiate: X0:=X1:fofType
% 262.87/263.21 Found (x5 x6) as proof of (cP X1)
% 262.87/263.21 Found x20:=(x2 x6):(cP X)
% 262.87/263.21 Found (x2 x6) as proof of (cP X1)
% 262.87/263.21 Found (x2 x6) as proof of (cP X1)
% 262.87/263.21 Found x50:=(x5 x6):(cP X0)
% 262.87/263.21 Found (x5 x6) as proof of (cP X1)
% 262.87/263.21 Found (x5 x6) as proof of (cP X1)
% 262.87/263.21 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found (x2 x6) as proof of (cP X1)
% 262.87/263.21 Found (x2 x6) as proof of (cP X1)
% 262.87/263.21 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found (x5 x6) as proof of (cP X1)
% 262.87/263.21 Found (x5 x6) as proof of (cP X1)
% 262.87/263.21 Found x50:=(x5 x10):(cP X0)
% 262.87/263.21 Found (x5 x10) as proof of (cP X0)
% 262.87/263.21 Found (x5 x10) as proof of (cP X0)
% 262.87/263.21 Found x20:=(x2 x10):(cP X)
% 262.87/263.21 Found (x2 x10) as proof of (cP X)
% 262.87/263.21 Found (x2 x10) as proof of (cP X)
% 262.87/263.21 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 262.87/263.21 Found x21:(cP X)
% 262.87/263.21 Instantiate: X:=X0:fofType
% 262.87/263.21 Found x21 as proof of (cP X0)
% 262.87/263.21 Found x20:(cP X)
% 262.87/263.21 Found x20 as proof of (cP X)
% 262.87/263.21 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x60:=(x6 X):(cP X)
% 264.24/264.63 Found (x6 X) as proof of (cP X)
% 264.24/264.63 Found (x6 X) as proof of (cP X)
% 264.24/264.63 Found (x1 (x6 X)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (fun (x6:(forall (X:fofType), (cP X)))=> (x1 (x6 X))) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 264.24/264.63 Found x20:=(x2 x6):(cP X)
% 264.24/264.63 Instantiate: X:=X1:fofType
% 264.24/264.63 Found (x2 x6) as proof of (cP X1)
% 264.24/264.63 Found x50:=(x5 x6):(cP X0)
% 264.24/264.63 Instantiate: X0:=X1:fofType
% 264.24/264.63 Found (x5 x6) as proof of (cP X1)
% 264.24/264.63 Found x20:=(x2 x6):(cP X)
% 264.24/264.63 Found (x2 x6) as proof of (cP X1)
% 264.24/264.63 Found (x2 x6) as proof of (cP X1)
% 264.24/264.63 Found x50:=(x5 x6):(cP X0)
% 264.24/264.63 Found (x5 x6) as proof of (cP X1)
% 264.24/264.63 Found (x5 x6) as proof of (cP X1)
% 264.24/264.63 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x6) as proof of (cP X1)
% 264.24/264.63 Found (x2 x6) as proof of (cP X1)
% 264.24/264.63 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x5 x6) as proof of (cP X1)
% 264.24/264.63 Found (x5 x6) as proof of (cP X1)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x20:(cP X)
% 264.24/264.63 Found x20 as proof of (cP X0)
% 264.24/264.63 Found x20:(cP X)
% 264.24/264.63 Found x20 as proof of (cP X0)
% 264.24/264.63 Found x20:(cP X)
% 264.24/264.63 Found x20 as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x20:(cP X)
% 264.24/264.63 Found x20 as proof of (cP X0)
% 264.24/264.63 Found x20 as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x3):(cP X)
% 264.24/264.63 Found (x2 x3) as proof of (cP X)
% 264.24/264.63 Found (x2 x3) as proof of (cP X)
% 264.24/264.63 Found x20:=(x2 x11):(cP X)
% 264.24/264.63 Instantiate: X:=X0:fofType
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x10):(cP X)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x3):(cP X)
% 264.24/264.63 Found (x2 x3) as proof of (cP X)
% 264.24/264.63 Found (x2 x3) as proof of (cP X)
% 264.24/264.63 Found x20:=(x2 x11):(cP X)
% 264.24/264.63 Instantiate: X:=X0:fofType
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x10):(cP X)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found (x2 x10) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x11):(cP X)
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found (x2 x11) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x3):(cP X)
% 264.24/264.63 Instantiate: X:=X0:fofType
% 264.24/264.63 Found (x2 x3) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x40):(cP X)
% 264.24/264.63 Instantiate: X0:=X:fofType
% 264.24/264.63 Found (x2 x40) as proof of (cP X0)
% 264.24/264.63 Found (x2 x40) as proof of (cP X0)
% 264.24/264.63 Found x20:=(x2 x40):(cP X)
% 264.24/264.63 Found (x2 x40) as proof of (cP X)
% 264.24/264.63 Found (x2 x40) as proof of (cP X)
% 264.24/264.63 Found x20:=(x2 x10):(cP X)
% 264.24/264.63 Found (x2 x10) as proof of (cP X)
% 264.24/264.63 Found (x2 x10) as proof of (cP X)
% 266.16/266.57 Found x20:=(x2 x11):(cP X)
% 266.16/266.57 Instantiate: X0:=X:fofType
% 266.16/266.57 Found (x2 x11) as proof of (cP X0)
% 266.16/266.57 Found (x2 x11) as proof of (cP X0)
% 266.16/266.57 Found x20:=(x2 x3):(cP X)
% 266.16/266.57 Instantiate: X:=X0:fofType
% 266.16/266.57 Found (x2 x3) as proof of (cP X0)
% 266.16/266.57 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 266.16/266.57 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found x7:(cP x6)
% 266.16/266.57 Instantiate: X0:=x6:fofType
% 266.16/266.57 Found x7 as proof of (cP X0)
% 266.16/266.57 Found x7:(cP x6)
% 266.16/266.57 Instantiate: X:=x6:fofType
% 266.16/266.57 Found x7 as proof of (cP X)
% 266.16/266.57 Found x20:(cP X)
% 266.16/266.57 Found x20 as proof of (cP X0)
% 266.16/266.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x50:=(x5 x10):(cP X0)
% 266.16/266.57 Found (x5 x10) as proof of (cP X0)
% 266.16/266.57 Found (x5 x10) as proof of (cP X0)
% 266.16/266.57 Found x20:(cP X)
% 266.16/266.57 Found x20 as proof of (cP X0)
% 266.16/266.57 Found x50:=(x5 x10):(cP X0)
% 266.16/266.57 Instantiate: X:=X0:fofType
% 266.16/266.57 Found (x5 x10) as proof of (cP X)
% 266.16/266.57 Found (x5 x10) as proof of (cP X)
% 266.16/266.57 Found x20:=(x2 x10):(cP X)
% 266.16/266.57 Found (x2 x10) as proof of (cP X)
% 266.16/266.57 Found (x2 x10) as proof of (cP X)
% 266.16/266.57 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x20:(cP X)
% 266.16/266.57 Instantiate: X:=X0:fofType
% 266.16/266.57 Found x20 as proof of (cP X0)
% 266.16/266.57 Found x20:=(x2 x11):(cP X)
% 266.16/266.57 Found (x2 x11) as proof of (cP X0)
% 266.16/266.57 Found (x2 x11) as proof of (cP X0)
% 266.16/266.57 Found (x2 x11) as proof of (cP X0)
% 266.16/266.57 Found x20:=(x2 x3):(cP X)
% 266.16/266.57 Instantiate: X:=X0:fofType
% 266.16/266.57 Found (x2 x3) as proof of (cP X0)
% 266.16/266.57 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 266.16/266.57 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found x20:=(x2 x3):(cP X)
% 266.16/266.57 Instantiate: X:=X0:fofType
% 266.16/266.57 Found (x2 x3) as proof of (cP X0)
% 266.16/266.57 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 266.16/266.57 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 266.16/266.57 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 266.16/266.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found (x2 x10) as proof of (cP X0)
% 266.16/266.57 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found x40:=(x4 x30):(cP X0)
% 268.27/268.71 Found (x4 x30) as proof of (cP X0)
% 268.27/268.71 Found (x4 x30) as proof of (cP X0)
% 268.27/268.71 Found x40:=(x4 x31):(cP X0)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found (x4 x31) as proof of (cP X)
% 268.27/268.71 Found (x4 x31) as proof of (cP X)
% 268.27/268.71 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found x5:(cP x4)
% 268.27/268.71 Instantiate: X0:=x4:fofType
% 268.27/268.71 Found x5 as proof of (cP X0)
% 268.27/268.71 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found (x2 x10) as proof of (cP X0)
% 268.27/268.71 Found x40:=(x4 x30):(cP X0)
% 268.27/268.71 Found (x4 x30) as proof of (cP X)
% 268.27/268.71 Found (x4 x30) as proof of (cP X)
% 268.27/268.71 Found (x4 x30) as proof of (cP X)
% 268.27/268.71 Found x20:=(x2 x3):(cP X)
% 268.27/268.71 Found (x2 x3) as proof of (cP X)
% 268.27/268.71 Found (x2 x3) as proof of (cP X)
% 268.27/268.71 Found x20:=(x2 x11):(cP X)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found x20:(cP X)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found x20 as proof of (cP X0)
% 268.27/268.71 Found x20:=(x2 x40):(cP X)
% 268.27/268.71 Found (x2 x40) as proof of (cP X)
% 268.27/268.71 Found (x2 x40) as proof of (cP X)
% 268.27/268.71 Found x20:(cP X)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found x20 as proof of (cP X0)
% 268.27/268.71 Found x20:=(x2 x10):(cP X)
% 268.27/268.71 Found (x2 x10) as proof of (cP X)
% 268.27/268.71 Found (x2 x10) as proof of (cP X)
% 268.27/268.71 Found x20:=(x2 x11):(cP X)
% 268.27/268.71 Instantiate: X0:=X:fofType
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found x20:=(x2 x40):(cP X)
% 268.27/268.71 Instantiate: X0:=X:fofType
% 268.27/268.71 Found (x2 x40) as proof of (cP X0)
% 268.27/268.71 Found (x2 x40) as proof of (cP X0)
% 268.27/268.71 Found x6:(cP x5)
% 268.27/268.71 Instantiate: X0:=x5:fofType
% 268.27/268.71 Found x6 as proof of (cP X0)
% 268.27/268.71 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x20:(cP X)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found x20 as proof of (cP X0)
% 268.27/268.71 Found x20 as proof of (cP X0)
% 268.27/268.71 Found x20:=(x2 x3):(cP X)
% 268.27/268.71 Instantiate: X:=X0:fofType
% 268.27/268.71 Found (x2 x3) as proof of (cP X0)
% 268.27/268.71 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 268.27/268.71 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 268.27/268.71 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 268.27/268.71 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 268.27/268.71 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 268.27/268.71 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 268.27/268.71 Found x7:(cP x6)
% 268.27/268.71 Instantiate: X:=x6:fofType
% 268.27/268.71 Found x7 as proof of (cP X)
% 268.27/268.71 Found x7:(cP x6)
% 268.27/268.71 Instantiate: X0:=x6:fofType
% 268.27/268.71 Found x7 as proof of (cP X0)
% 268.27/268.71 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found x20:=(x2 x11):(cP X)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found (x2 x11) as proof of (cP X0)
% 268.27/268.71 Found x20:(cP X)
% 268.27/268.71 Instantiate: X0:=X:fofType
% 268.27/268.71 Found x20 as proof of (cP X0)
% 268.27/268.71 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 268.27/268.71 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x20:(cP X)
% 270.65/271.09 Found x20 as proof of (cP X)
% 270.65/271.09 Found x20:=(x2 x3):(cP X)
% 270.65/271.09 Instantiate: X:=X0:fofType
% 270.65/271.09 Found (x2 x3) as proof of (cP X0)
% 270.65/271.09 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 270.65/271.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 270.65/271.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 270.65/271.09 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found x20:=(x2 x3):(cP X)
% 270.65/271.09 Instantiate: X:=X0:fofType
% 270.65/271.09 Found (x2 x3) as proof of (cP X0)
% 270.65/271.09 Found (fun (x5:(cP x4))=> (x2 x3)) as proof of (cP X0)
% 270.65/271.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of ((cP x4)->(cP X0))
% 270.65/271.09 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x3)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 270.65/271.09 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x3))) as proof of (cP X0)
% 270.65/271.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x7:(cP x6)
% 270.65/271.09 Instantiate: X0:=x6:fofType
% 270.65/271.09 Found x7 as proof of (cP X0)
% 270.65/271.09 Found x40:=(x4 x30):(cP X0)
% 270.65/271.09 Found (x4 x30) as proof of (cP X0)
% 270.65/271.09 Found (x4 x30) as proof of (cP X0)
% 270.65/271.09 Found x40:=(x4 x31):(cP X0)
% 270.65/271.09 Instantiate: X:=X0:fofType
% 270.65/271.09 Found (x4 x31) as proof of (cP X)
% 270.65/271.09 Found (x4 x31) as proof of (cP X)
% 270.65/271.09 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (x2 x40) as proof of (cP X0)
% 270.65/271.09 Found (x2 x40) as proof of (cP X0)
% 270.65/271.09 Found (x2 x40) as proof of (cP X0)
% 270.65/271.09 Found x41:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x41 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (x2 x41) as proof of (cP X0)
% 270.65/271.09 Found (x2 x41) as proof of (cP X0)
% 270.65/271.09 Found (x2 x41) as proof of (cP X0)
% 270.65/271.09 Found x20:=(x2 x10):(cP X)
% 270.65/271.09 Found (x2 x10) as proof of (cP X)
% 270.65/271.09 Found (x2 x10) as proof of (cP X)
% 270.65/271.09 Found x20:=(x2 x10):(cP X)
% 270.65/271.09 Instantiate: X0:=X:fofType
% 270.65/271.09 Found (x2 x10) as proof of (cP X0)
% 270.65/271.09 Found (x2 x10) as proof of (cP X0)
% 270.65/271.09 Found x50:=(x5 x10):(cP X0)
% 270.65/271.09 Found (x5 x10) as proof of (cP X0)
% 270.65/271.09 Found (x5 x10) as proof of (cP X0)
% 270.65/271.09 Found x40:=(x4 x30):(cP X0)
% 270.65/271.09 Found (x4 x30) as proof of (cP X)
% 270.65/271.09 Found (x4 x30) as proof of (cP X)
% 270.65/271.09 Found (x4 x30) as proof of (cP X)
% 270.65/271.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found x20:=(x2 x11):(cP X)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found x20:=(x2 x11):(cP X)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found (x2 x11) as proof of (cP X0)
% 270.65/271.09 Found x20:(cP X)
% 270.65/271.09 Found x20 as proof of (cP X)
% 270.65/271.09 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 270.65/271.09 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 270.65/271.09 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x2 x40) as proof of (cP X0)
% 273.54/273.92 Found (x2 x40) as proof of (cP X0)
% 273.54/273.92 Found (x2 x40) as proof of (cP X0)
% 273.54/273.92 Found x40:=(x4 x31):(cP X0)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found (x4 x31) as proof of (cP X)
% 273.54/273.92 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x31)) as proof of (cP X)
% 273.54/273.92 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x31)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 273.54/273.92 Found x50:=(x5 x10):(cP X0)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found (x5 x10) as proof of (cP X)
% 273.54/273.92 Found (x5 x10) as proof of (cP X)
% 273.54/273.92 Found x20:=(x2 x10):(cP X)
% 273.54/273.92 Found (x2 x10) as proof of (cP X)
% 273.54/273.92 Found (x2 x10) as proof of (cP X)
% 273.54/273.92 Found x20:=(x2 x10):(cP X)
% 273.54/273.92 Instantiate: X0:=X:fofType
% 273.54/273.92 Found (x2 x10) as proof of (cP X0)
% 273.54/273.92 Found (x2 x10) as proof of (cP X0)
% 273.54/273.92 Found x50:=(x5 x10):(cP X0)
% 273.54/273.92 Found (x5 x10) as proof of (cP X0)
% 273.54/273.92 Found (x5 x10) as proof of (cP X0)
% 273.54/273.92 Found x20:(cP X)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found x20 as proof of (cP X0)
% 273.54/273.92 Found x20:=(x2 x10):(cP X)
% 273.54/273.92 Found (x2 x10) as proof of (cP X)
% 273.54/273.92 Found (x2 x10) as proof of (cP X)
% 273.54/273.92 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found x20:(cP X)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found x20 as proof of (cP X0)
% 273.54/273.92 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found x20:=(x2 x3):(cP X)
% 273.54/273.92 Found (x2 x3) as proof of (cP X)
% 273.54/273.92 Found (x2 x3) as proof of (cP X)
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found (x2 x11) as proof of (cP X)
% 273.54/273.92 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x20:=(x2 x11):(cP X)
% 273.54/273.92 Instantiate: X:=X0:fofType
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 273.54/273.92 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 273.54/273.92 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 273.54/273.92 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 273.54/273.92 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 273.54/273.92 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 273.54/273.92 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found (x2 x11) as proof of (cP X0)
% 273.54/273.92 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 273.54/273.92 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 274.36/274.74 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found x20:=(x2 x11):(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found (x2 x11) as proof of (cP X0)
% 274.36/274.74 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 274.36/274.74 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 274.36/274.74 Found x20:=(x2 x11):(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found (x2 x11) as proof of (cP X0)
% 274.36/274.74 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 274.36/274.74 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 274.36/274.74 Found x20:(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found x20 as proof of (cP X0)
% 274.36/274.74 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 274.36/274.74 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 274.36/274.74 Found x20:(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found x20 as proof of (cP X0)
% 274.36/274.74 Found x20:=(x2 x11):(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found (x2 x11) as proof of (cP X0)
% 274.36/274.74 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 274.36/274.74 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 274.36/274.74 Found x20:=(x2 x11):(cP X)
% 274.36/274.74 Instantiate: X:=X0:fofType
% 274.36/274.74 Found (x2 x11) as proof of (cP X0)
% 274.36/274.74 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 274.36/274.74 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 275.27/275.64 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 275.27/275.64 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x11):(cP X)
% 275.27/275.64 Instantiate: X:=X0:fofType
% 275.27/275.64 Found (x2 x11) as proof of (cP X0)
% 275.27/275.64 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 275.27/275.64 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 275.27/275.64 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 275.27/275.64 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x11):(cP X)
% 275.27/275.64 Instantiate: X:=X0:fofType
% 275.27/275.64 Found (x2 x11) as proof of (cP X0)
% 275.27/275.64 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 275.27/275.64 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 275.27/275.64 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 275.27/275.64 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x10)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 275.27/275.64 Found x50:=(x5 x40):(cP X0)
% 275.27/275.64 Found (x5 x40) as proof of (cP X0)
% 275.27/275.64 Found (x5 x40) as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x40):(cP X)
% 275.27/275.64 Found (x2 x40) as proof of (cP X)
% 275.27/275.64 Found (x2 x40) as proof of (cP X)
% 275.27/275.64 Found x21:(cP X)
% 275.27/275.64 Instantiate: X:=X0:fofType
% 275.27/275.64 Found x21 as proof of (cP X0)
% 275.27/275.64 Found x20:(cP X)
% 275.27/275.64 Found x20 as proof of (cP X)
% 275.27/275.64 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found x20:(cP X)
% 275.27/275.64 Found x20 as proof of (cP X0)
% 275.27/275.64 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found (x4 x30) as proof of (cP X)
% 275.27/275.64 Found (x4 x30) as proof of (cP X)
% 275.27/275.64 Found (x4 x30) as proof of (cP X)
% 275.27/275.64 Found x20:(cP X)
% 275.27/275.64 Found x20 as proof of (cP X0)
% 275.27/275.64 Found x20:(cP X)
% 275.27/275.64 Found x20 as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x10):(cP X)
% 275.27/275.64 Found (x2 x10) as proof of (cP X)
% 275.27/275.64 Found (x2 x10) as proof of (cP X)
% 275.27/275.64 Found x20:(cP X)
% 275.27/275.64 Found x20 as proof of (cP X0)
% 275.27/275.64 Found x20 as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x11):(cP X)
% 275.27/275.64 Found (x2 x11) as proof of (cP X)
% 275.27/275.64 Found (x2 x11) as proof of (cP X)
% 275.27/275.64 Found x20:=(x2 x12):(cP X)
% 275.27/275.64 Instantiate: X:=X0:fofType
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x12):(cP X)
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found (x1 x20) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 275.27/275.64 Found x20:=(x2 x11):(cP X)
% 275.27/275.64 Found (x2 x11) as proof of (cP X)
% 275.27/275.64 Found (x2 x11) as proof of (cP X)
% 275.27/275.64 Found x20:=(x2 x12):(cP X)
% 275.27/275.64 Instantiate: X:=X0:fofType
% 275.27/275.64 Found (x2 x12) as proof of (cP X0)
% 275.27/275.64 Found x20:=(x2 x12):(cP X)
% 276.87/277.23 Found (x2 x12) as proof of (cP X0)
% 276.87/277.23 Found (x2 x12) as proof of (cP X0)
% 276.87/277.23 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (x2 x12) as proof of (cP X0)
% 276.87/277.23 Found (x2 x12) as proof of (cP X0)
% 276.87/277.23 Found x20:(cP X)
% 276.87/277.23 Instantiate: X:=X0:fofType
% 276.87/277.23 Found x20 as proof of (cP X0)
% 276.87/277.23 Found x20 as proof of (cP X0)
% 276.87/277.23 Found x20:(cP X)
% 276.87/277.23 Instantiate: X:=X0:fofType
% 276.87/277.23 Found x20 as proof of (cP X0)
% 276.87/277.23 Found x20 as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x11):(cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found x20:=(x2 x11):(cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x3):(cP X)
% 276.87/277.23 Instantiate: X:=X0:fofType
% 276.87/277.23 Found (x2 x3) as proof of (cP X0)
% 276.87/277.23 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x11):(cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found (x2 x11) as proof of (cP X)
% 276.87/277.23 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found (x2 x11) as proof of (cP X0)
% 276.87/277.23 Found x6:(cP x5)
% 276.87/277.23 Instantiate: X0:=x5:fofType
% 276.87/277.23 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x3):(cP X)
% 276.87/277.23 Instantiate: X:=X0:fofType
% 276.87/277.23 Found (x2 x3) as proof of (cP X0)
% 276.87/277.23 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 276.87/277.23 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 276.87/277.23 Found (fun (x3:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 276.87/277.23 Found x22:(cP X)
% 276.87/277.23 Instantiate: X0:=X:fofType
% 276.87/277.23 Found x22 as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x6):(cP X)
% 276.87/277.23 Found (x2 x6) as proof of (cP X)
% 276.87/277.23 Found (x2 x6) as proof of (cP X)
% 276.87/277.23 Found x50:=(x5 x10):(cP X0)
% 276.87/277.23 Instantiate: X0:=X1:fofType
% 276.87/277.23 Found (x5 x10) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x10):(cP X)
% 276.87/277.23 Instantiate: X:=X1:fofType
% 276.87/277.23 Found (x2 x10) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x6):(cP X)
% 276.87/277.23 Found (x2 x6) as proof of (cP X1)
% 276.87/277.23 Found (x2 x6) as proof of (cP X1)
% 276.87/277.23 Found x50:=(x5 x6):(cP X0)
% 276.87/277.23 Found (x5 x6) as proof of (cP X1)
% 276.87/277.23 Found (x5 x6) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x6):(cP X)
% 276.87/277.23 Instantiate: X0:=X:fofType
% 276.87/277.23 Found (x2 x6) as proof of (cP X0)
% 276.87/277.23 Found (x2 x6) as proof of (cP X0)
% 276.87/277.23 Found x20:=(x2 x40):(cP X)
% 276.87/277.23 Found (x2 x40) as proof of (cP X0)
% 276.87/277.23 Found (x2 x40) as proof of (cP X0)
% 276.87/277.23 Found (x2 x40) as proof of (cP X0)
% 276.87/277.23 Found x50:=(x5 x6):(cP X0)
% 276.87/277.23 Found (x5 x6) as proof of (cP X0)
% 276.87/277.23 Found (x5 x6) as proof of (cP X0)
% 276.87/277.23 Found x50:=(x5 x40):(cP X0)
% 276.87/277.23 Instantiate: X0:=X1:fofType
% 276.87/277.23 Found (x5 x40) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x40):(cP X)
% 276.87/277.23 Instantiate: X:=X1:fofType
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x40):(cP X)
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 276.87/277.23 Found x50:=(x5 x40):(cP X0)
% 276.87/277.23 Found (x5 x40) as proof of (cP X1)
% 276.87/277.23 Found (x5 x40) as proof of (cP X1)
% 276.87/277.23 Found x20:(cP X)
% 276.87/277.23 Instantiate: X:=X0:fofType
% 276.87/277.23 Found x20 as proof of (cP X0)
% 276.87/277.23 Found x50:=(x5 x6):(cP X0)
% 276.87/277.23 Found (x5 x6) as proof of (cP X0)
% 276.87/277.23 Found (x5 x6) as proof of (cP X0)
% 276.87/277.23 Found x50:=(x5 x40):(cP X0)
% 276.87/277.23 Instantiate: X0:=X1:fofType
% 276.87/277.23 Found (x5 x40) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x40):(cP X)
% 276.87/277.23 Instantiate: X:=X1:fofType
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 276.87/277.23 Found x20:=(x2 x40):(cP X)
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 276.87/277.23 Found (x2 x40) as proof of (cP X1)
% 277.78/278.15 Found x50:=(x5 x40):(cP X0)
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found x50:=(x5 x6):(cP X0)
% 277.78/278.15 Instantiate: X:=X0:fofType
% 277.78/278.15 Found (x5 x6) as proof of (cP X)
% 277.78/278.15 Found (x5 x6) as proof of (cP X)
% 277.78/278.15 Found x20:=(x2 x6):(cP X)
% 277.78/278.15 Found (x2 x6) as proof of (cP X)
% 277.78/278.15 Found (x2 x6) as proof of (cP X)
% 277.78/278.15 Found x50:=(x5 x10):(cP X0)
% 277.78/278.15 Instantiate: X0:=X1:fofType
% 277.78/278.15 Found (x5 x10) as proof of (cP X1)
% 277.78/278.15 Found x20:=(x2 x10):(cP X)
% 277.78/278.15 Instantiate: X:=X1:fofType
% 277.78/278.15 Found (x2 x10) as proof of (cP X1)
% 277.78/278.15 Found x20:=(x2 x6):(cP X)
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found x50:=(x5 x6):(cP X0)
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found x20:=(x2 x40):(cP X)
% 277.78/278.15 Found (x2 x40) as proof of (cP X)
% 277.78/278.15 Found (x2 x40) as proof of (cP X)
% 277.78/278.15 Found x20:=(x2 x40):(cP X)
% 277.78/278.15 Instantiate: X0:=X:fofType
% 277.78/278.15 Found (x2 x40) as proof of (cP X0)
% 277.78/278.15 Found (x2 x40) as proof of (cP X0)
% 277.78/278.15 Found x50:=(x5 x40):(cP X0)
% 277.78/278.15 Found (x5 x40) as proof of (cP X0)
% 277.78/278.15 Found (x5 x40) as proof of (cP X0)
% 277.78/278.15 Found x20:=(x2 x6):(cP X)
% 277.78/278.15 Instantiate: X:=X1:fofType
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found (fun (x8:(cP x7))=> (x2 x6)) as proof of (cP X1)
% 277.78/278.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of ((cP x7)->(cP X1))
% 277.78/278.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 277.78/278.15 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 277.78/278.15 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 277.78/278.15 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 277.78/278.15 Found x20:(cP X)
% 277.78/278.15 Found x20 as proof of (cP X)
% 277.78/278.15 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x21:(cP X)
% 277.78/278.15 Instantiate: X:=X0:fofType
% 277.78/278.15 Found x21 as proof of (cP X0)
% 277.78/278.15 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x2 x40) as proof of (cP X1)
% 277.78/278.15 Found (x2 x40) as proof of (cP X1)
% 277.78/278.15 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found x20:=(x2 x10):(cP X)
% 277.78/278.15 Found (x2 x10) as proof of (cP X)
% 277.78/278.15 Found (x2 x10) as proof of (cP X)
% 277.78/278.15 Found x30:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x30 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x4 x30) as proof of (cP X)
% 277.78/278.15 Found (x4 x30) as proof of (cP X)
% 277.78/278.15 Found (x4 x30) as proof of (cP X)
% 277.78/278.15 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found (x5 x6) as proof of (cP X1)
% 277.78/278.15 Found x20:(cP X)
% 277.78/278.15 Found x20 as proof of (cP X0)
% 277.78/278.15 Found x20:(cP X)
% 277.78/278.15 Found x20 as proof of (cP X0)
% 277.78/278.15 Found x20:(cP X)
% 277.78/278.15 Found x20 as proof of (cP X0)
% 277.78/278.15 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x2 x40) as proof of (cP X1)
% 277.78/278.15 Found (x2 x40) as proof of (cP X1)
% 277.78/278.15 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found (x5 x40) as proof of (cP X1)
% 277.78/278.15 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found x20:=(x2 x6):(cP X)
% 277.78/278.15 Instantiate: X:=X1:fofType
% 277.78/278.15 Found (x2 x6) as proof of (cP X1)
% 277.78/278.15 Found (fun (x8:(cP x7))=> (x2 x6)) as proof of (cP X1)
% 277.78/278.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of ((cP x7)->(cP X1))
% 277.78/278.15 Found (fun (x7:fofType) (x8:(cP x7))=> (x2 x6)) as proof of (forall (x:fofType), ((cP x)->(cP X1)))
% 279.00/279.38 Found (ex_ind00 (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 279.00/279.38 Found ((ex_ind0 (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 279.00/279.38 Found (((fun (P:Prop) (x7:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x7) x6)) (cP X1)) (fun (x7:fofType) (x8:(cP x7))=> (x2 x6))) as proof of (cP X1)
% 279.00/279.38 Found x20:(cP X)
% 279.00/279.38 Found x20 as proof of (cP X0)
% 279.00/279.38 Found x20 as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x3):(cP X)
% 279.00/279.38 Found (x2 x3) as proof of (cP X)
% 279.00/279.38 Found (x2 x3) as proof of (cP X)
% 279.00/279.38 Found x20:=(x2 x11):(cP X)
% 279.00/279.38 Instantiate: X:=X0:fofType
% 279.00/279.38 Found (x2 x11) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x3):(cP X)
% 279.00/279.38 Instantiate: X:=X0:fofType
% 279.00/279.38 Found (x2 x3) as proof of (cP X0)
% 279.00/279.38 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 279.00/279.38 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 279.00/279.38 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 279.00/279.38 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.00/279.38 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.00/279.38 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x11):(cP X)
% 279.00/279.38 Found (x2 x11) as proof of (cP X)
% 279.00/279.38 Found (x2 x11) as proof of (cP X)
% 279.00/279.38 Found x20:=(x2 x12):(cP X)
% 279.00/279.38 Instantiate: X:=X0:fofType
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x12):(cP X)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.00/279.38 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x11):(cP X)
% 279.00/279.38 Found (x2 x11) as proof of (cP X)
% 279.00/279.38 Found (x2 x11) as proof of (cP X)
% 279.00/279.38 Found x20:=(x2 x12):(cP X)
% 279.00/279.38 Instantiate: X:=X0:fofType
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x12):(cP X)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.00/279.38 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found (x2 x12) as proof of (cP X0)
% 279.00/279.38 Found x20:=(x2 x3):(cP X)
% 279.00/279.38 Instantiate: X:=X0:fofType
% 279.00/279.38 Found (x2 x3) as proof of (cP X0)
% 279.00/279.38 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 279.00/279.38 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 279.00/279.38 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 279.00/279.38 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x3):(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found (x2 x3) as proof of (cP X0)
% 279.20/279.55 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 279.20/279.55 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 279.20/279.55 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 279.20/279.55 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x11):(cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x20:(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found x20 as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x11):(cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x6:(cP x5)
% 279.20/279.55 Instantiate: X0:=x5:fofType
% 279.20/279.55 Found (fun (x6:(cP x5))=> x6) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x11):(cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found (x2 x11) as proof of (cP X)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x20:=(x2 x12):(cP X)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found (x2 x12) as proof of (cP X0)
% 279.20/279.55 Found x20:(cP X)
% 279.20/279.55 Instantiate: X:=X0:fofType
% 279.20/279.55 Found x20 as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x3):(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found (x2 x3) as proof of (cP X0)
% 283.14/283.50 Found (fun (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (cP X0)
% 283.14/283.50 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0))
% 283.14/283.50 Found (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3)) as proof of (((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->(cP X0)))
% 283.14/283.50 Found (and_rect10 (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 283.14/283.50 Found ((and_rect1 (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 283.14/283.50 Found (((fun (P:Type) (x5:(((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))->((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))->P)))=> (((((and_rect ((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1))) P) x5) x4)) (cP X0)) (fun (x5:((cP X1)->((ex fofType) (fun (Y:fofType)=> (cP Y))))) (x6:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X1)))=> (x2 x3))) as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x3):(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found (x2 x3) as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x11):(cP X)
% 283.14/283.50 Found (x2 x11) as proof of (cP X)
% 283.14/283.50 Found (x2 x11) as proof of (cP X)
% 283.14/283.50 Found x20:=(x2 x12):(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x12):(cP X)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found x12:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found x12 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found (x2 x12) as proof of (cP X0)
% 283.14/283.50 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found x20:(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found x20 as proof of (cP X0)
% 283.14/283.50 Found x20 as proof of (cP X0)
% 283.14/283.50 Found x22:(cP X)
% 283.14/283.50 Instantiate: X0:=X:fofType
% 283.14/283.50 Found x22 as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x3):(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found (x2 x3) as proof of (cP X0)
% 283.14/283.50 Found x22:(cP X)
% 283.14/283.50 Instantiate: X0:=X:fofType
% 283.14/283.50 Found x22 as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x3):(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found (x2 x3) as proof of (cP X0)
% 283.14/283.50 Found x22:(cP X)
% 283.14/283.50 Instantiate: X0:=X:fofType
% 283.14/283.50 Found x22 as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x40):(cP X)
% 283.14/283.50 Found (x2 x40) as proof of (cP X0)
% 283.14/283.50 Found (x2 x40) as proof of (cP X0)
% 283.14/283.50 Found (x2 x40) as proof of (cP X0)
% 283.14/283.50 Found x20:(cP X)
% 283.14/283.50 Instantiate: X:=X0:fofType
% 283.14/283.50 Found x20 as proof of (cP X0)
% 283.14/283.50 Found x20:=(x2 x6):(cP X)
% 283.14/283.50 Found (x2 x6) as proof of (cP X)
% 283.14/283.50 Found (x2 x6) as proof of (cP X)
% 283.14/283.50 Found x20:=(x2 x10):(cP X)
% 283.14/283.50 Instantiate: X:=X1:fofType
% 283.14/283.50 Found (x2 x10) as proof of (cP X1)
% 283.14/283.50 Found (x2 x10) as proof of (cP X1)
% 283.14/283.50 Found x50:=(x5 x10):(cP X0)
% 283.14/283.50 Instantiate: X0:=X1:fofType
% 283.14/283.50 Found (x5 x10) as proof of (cP X1)
% 283.14/283.50 Found (x5 x10) as proof of (cP X1)
% 283.14/283.50 Found x50:=(x5 x6):(cP X0)
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found x20:=(x2 x6):(cP X)
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found (x5 x6) as proof of (cP X1)
% 283.14/283.50 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found (x2 x6) as proof of (cP X1)
% 283.14/283.50 Found x20:=(x2 x6):(cP X)
% 283.14/283.50 Instantiate: X0:=X:fofType
% 283.14/283.50 Found (x2 x6) as proof of (cP X0)
% 283.14/283.50 Found (x2 x6) as proof of (cP X0)
% 283.73/284.12 Found x50:=(x5 x6):(cP X0)
% 283.73/284.12 Found (x5 x6) as proof of (cP X0)
% 283.73/284.12 Found (x5 x6) as proof of (cP X0)
% 283.73/284.12 Found x20:=(x2 x40):(cP X)
% 283.73/284.12 Instantiate: X:=X1:fofType
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x40):(cP X0)
% 283.73/284.12 Instantiate: X0:=X1:fofType
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x40):(cP X0)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x20:=(x2 x40):(cP X)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x6):(cP X0)
% 283.73/284.12 Instantiate: X:=X0:fofType
% 283.73/284.12 Found (x5 x6) as proof of (cP X)
% 283.73/284.12 Found (x5 x6) as proof of (cP X)
% 283.73/284.12 Found x20:=(x2 x6):(cP X)
% 283.73/284.12 Found (x2 x6) as proof of (cP X)
% 283.73/284.12 Found (x2 x6) as proof of (cP X)
% 283.73/284.12 Found x20:=(x2 x10):(cP X)
% 283.73/284.12 Instantiate: X:=X1:fofType
% 283.73/284.12 Found (x2 x10) as proof of (cP X1)
% 283.73/284.12 Found (x2 x10) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x10):(cP X0)
% 283.73/284.12 Instantiate: X0:=X1:fofType
% 283.73/284.12 Found (x5 x10) as proof of (cP X1)
% 283.73/284.12 Found (x5 x10) as proof of (cP X1)
% 283.73/284.12 Found x20:=(x2 x6):(cP X)
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x6):(cP X0)
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found (x5 x6) as proof of (cP X1)
% 283.73/284.12 Found x6:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x6 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found (x2 x6) as proof of (cP X1)
% 283.73/284.12 Found x20:=(x2 x6):(cP X)
% 283.73/284.12 Instantiate: X0:=X:fofType
% 283.73/284.12 Found (x2 x6) as proof of (cP X0)
% 283.73/284.12 Found (x2 x6) as proof of (cP X0)
% 283.73/284.12 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x50:=(x5 x6):(cP X0)
% 283.73/284.12 Found (x5 x6) as proof of (cP X0)
% 283.73/284.12 Found (x5 x6) as proof of (cP X0)
% 283.73/284.12 Found x20:=(x2 x40):(cP X)
% 283.73/284.12 Instantiate: X:=X1:fofType
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x40):(cP X0)
% 283.73/284.12 Instantiate: X0:=X1:fofType
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x50:=(x5 x40):(cP X0)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x20:=(x2 x40):(cP X)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found (x5 x40) as proof of (cP X1)
% 283.73/284.12 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found (x2 x40) as proof of (cP X1)
% 283.73/284.12 Found x20:=(x2 x11):(cP X)
% 283.73/284.12 Instantiate: X:=X0:fofType
% 283.73/284.12 Found (x2 x11) as proof of (cP X0)
% 283.73/284.12 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 283.73/284.12 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 283.73/284.12 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 283.73/284.12 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 283.73/284.12 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 283.73/284.12 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 286.19/286.60 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found x22:(cP X)
% 286.19/286.60 Instantiate: X0:=X:fofType
% 286.19/286.60 Found x22 as proof of (cP X0)
% 286.19/286.60 Found x52:(cP X0)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found x52 as proof of (cP X)
% 286.19/286.60 Found x20:=(x2 x3):(cP X)
% 286.19/286.60 Found (x2 x3) as proof of (cP X)
% 286.19/286.60 Found (x2 x3) as proof of (cP X)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x3):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x3) as proof of (cP X0)
% 286.19/286.60 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 286.19/286.60 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 286.19/286.60 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 286.19/286.60 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x3):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x3) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x3):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x3) as proof of (cP X0)
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 286.19/286.60 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found x20:(cP X)
% 286.19/286.60 Found x20 as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 286.19/286.60 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 286.19/286.60 Found x20:=(x2 x11):(cP X)
% 286.19/286.60 Instantiate: X:=X0:fofType
% 286.19/286.60 Found (x2 x11) as proof of (cP X0)
% 286.19/286.60 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 286.19/286.60 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 289.64/289.99 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 289.64/289.99 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found x20:=(x2 x12):(cP X)
% 289.64/289.99 Found (x2 x12) as proof of (cP X)
% 289.64/289.99 Found (x2 x12) as proof of (cP X)
% 289.64/289.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x20:=(x2 x11):(cP X)
% 289.64/289.99 Instantiate: X:=X0:fofType
% 289.64/289.99 Found (x2 x11) as proof of (cP X0)
% 289.64/289.99 Found (fun (x5:(cP x4))=> (x2 x11)) as proof of (cP X0)
% 289.64/289.99 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of ((cP x4)->(cP X0))
% 289.64/289.99 Found (fun (x4:fofType) (x5:(cP x4))=> (x2 x11)) as proof of (forall (x:fofType), ((cP x)->(cP X0)))
% 289.64/289.99 Found (ex_ind00 (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found ((ex_ind0 (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found (((fun (P:Prop) (x4:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Y:fofType)=> (cP Y))) P) x4) x3)) (cP X0)) (fun (x4:fofType) (x5:(cP x4))=> (x2 x11))) as proof of (cP X0)
% 289.64/289.99 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x22:(cP X)
% 289.64/289.99 Instantiate: X0:=X:fofType
% 289.64/289.99 Found x22 as proof of (cP X0)
% 289.64/289.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x22:(cP X)
% 289.64/289.99 Instantiate: X0:=X:fofType
% 289.64/289.99 Found x22 as proof of (cP X0)
% 289.64/289.99 Found x22:(cP X)
% 289.64/289.99 Instantiate: X0:=X:fofType
% 289.64/289.99 Found x22 as proof of (cP X0)
% 289.64/289.99 Found x40:=(x4 x30):(cP X0)
% 289.64/289.99 Found (x4 x30) as proof of (cP X)
% 289.64/289.99 Found (x4 x30) as proof of (cP X)
% 289.64/289.99 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of (cP X)
% 289.64/289.99 Found (fun (x4:(((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0)))=> (x4 x30)) as proof of ((((ex fofType) (fun (Y:fofType)=> (cP Y)))->(cP X0))->(cP X))
% 289.64/289.99 Found x20:=(x2 x3):(cP X)
% 289.64/289.99 Found (x2 x3) as proof of (cP X)
% 289.64/289.99 Found (x2 x3) as proof of (cP X)
% 289.64/289.99 Found x20:=(x2 x11):(cP X)
% 289.64/289.99 Instantiate: X:=X0:fofType
% 289.64/289.99 Found (x2 x11) as proof of (cP X0)
% 289.64/289.99 Found x20:=(x2 x3):(cP X)
% 289.64/289.99 Instantiate: X:=X0:fofType
% 289.64/289.99 Found (x2 x3) as proof of (cP X0)
% 289.64/289.99 Found x20:=(x2 x3):(cP X)
% 289.64/289.99 Instantiate: X:=X0:fofType
% 289.64/289.99 Found (x2 x3) as proof of (cP X0)
% 289.64/289.99 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found x21:(cP X)
% 289.64/289.99 Instantiate: X0:=X:fofType
% 289.64/289.99 Found x21 as proof of (cP X0)
% 289.64/289.99 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 289.64/289.99 Found x20:(cP X)
% 289.64/289.99 Found x20 as proof of (cP X0)
% 289.64/289.99 Found x20:(cP X)
% 289.64/289.99 Instantiate: X:=X0:fofType
% 289.64/289.99 Found x20 as proof of (cP X0)
% 289.64/289.99 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (x1 x21) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 289.64/289.99 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found (fun (x3:(forall (X:fofType), (cP X)))=> (x1 x21)) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Found x20 as proof of (cP X0)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X0:fofType
% 294.27/294.63 Found x20 as proof of (cP X0)
% 294.27/294.63 Found x20:=(x2 x3):(cP X)
% 294.27/294.63 Found (x2 x3) as proof of (cP X)
% 294.27/294.63 Found (x2 x3) as proof of (cP X)
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Instantiate: X:=X0:fofType
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x50:(cP X0)
% 294.27/294.63 Found x50 as proof of (cP X1)
% 294.27/294.63 Found x50:(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found x50 as proof of (cP X1)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found x20 as proof of (cP X1)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Found x20 as proof of (cP X1)
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x50:(cP X0)
% 294.27/294.63 Found x50 as proof of (cP X1)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found x20 as proof of (cP X1)
% 294.27/294.63 Found x50:(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found x50 as proof of (cP X1)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Found x20 as proof of (cP X1)
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X0:fofType
% 294.27/294.63 Found x20 as proof of (cP X0)
% 294.27/294.63 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 294.27/294.63 Found x20:=(x2 x11):(cP X)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found (x2 x11) as proof of (cP X0)
% 294.27/294.63 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X0:fofType
% 294.27/294.63 Found x20 as proof of (cP X0)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x22 as proof of (cP X0)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x22 as proof of (cP X0)
% 294.27/294.63 Found x20:=(x2 x6):(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found (x2 x6) as proof of (cP X1)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x22 as proof of (cP X0)
% 294.27/294.63 Found x50:=(x5 x6):(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found (x5 x6) as proof of (cP X1)
% 294.27/294.63 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x21:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x21 as proof of (cP X0)
% 294.27/294.63 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 294.27/294.63 Found x20:=(x2 x6):(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found (x2 x6) as proof of (cP X1)
% 294.27/294.63 Found x50:=(x5 x6):(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found (x5 x6) as proof of (cP X1)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x22 as proof of (cP X0)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 294.27/294.63 Found x22 as proof of (cP X0)
% 294.27/294.63 Found x50:=(x5 x6):(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found (x5 x6) as proof of (cP X1)
% 294.27/294.63 Found x20:=(x2 x6):(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found (x2 x6) as proof of (cP X1)
% 294.27/294.63 Found x20:=(x2 x6):(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found (x2 x6) as proof of (cP X1)
% 294.27/294.63 Found x50:=(x5 x6):(cP X0)
% 294.27/294.63 Instantiate: X0:=X1:fofType
% 294.27/294.63 Found (x5 x6) as proof of (cP X1)
% 294.27/294.63 Found x20:(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found x20 as proof of (cP X1)
% 294.27/294.63 Found x20:=(x2 x6):(cP X)
% 294.27/294.63 Instantiate: X:=X1:fofType
% 294.27/294.63 Found (x2 x6) as proof of (cP X1)
% 294.27/294.63 Found x22:(cP X)
% 294.27/294.63 Instantiate: X0:=X:fofType
% 296.94/297.33 Found x22 as proof of (cP X0)
% 296.94/297.33 Found x20:(cP X)
% 296.94/297.33 Instantiate: X:=X1:fofType
% 296.94/297.33 Found x20 as proof of (cP X1)
% 296.94/297.33 Found x20:=(x2 x6):(cP X)
% 296.94/297.33 Instantiate: X:=X1:fofType
% 296.94/297.33 Found (x2 x6) as proof of (cP X1)
% 296.94/297.33 Found x21:(cP X)
% 296.94/297.33 Instantiate: X0:=X:fofType
% 296.94/297.33 Found x21 as proof of (cP X0)
% 296.94/297.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x20:(cP X)
% 296.94/297.33 Instantiate: X:=X1:fofType
% 296.94/297.33 Found x20 as proof of (cP X1)
% 296.94/297.33 Found x50:(cP X0)
% 296.94/297.33 Instantiate: X0:=X1:fofType
% 296.94/297.33 Found x50 as proof of (cP X1)
% 296.94/297.33 Found x20:(cP X)
% 296.94/297.33 Instantiate: X:=X0:fofType
% 296.94/297.33 Found x20 as proof of (cP X0)
% 296.94/297.33 Found x20 as proof of (cP X0)
% 296.94/297.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x50:(cP X0)
% 296.94/297.33 Instantiate: X0:=X1:fofType
% 296.94/297.33 Found x50 as proof of (cP X1)
% 296.94/297.33 Found x20:(cP X)
% 296.94/297.33 Instantiate: X:=X1:fofType
% 296.94/297.33 Found x20 as proof of (cP X1)
% 296.94/297.33 Found x20:(cP X)
% 296.94/297.33 Instantiate: X:=X0:fofType
% 296.94/297.33 Found x20 as proof of (cP X0)
% 296.94/297.33 Found x20 as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x12):(cP X)
% 296.94/297.33 Found (x2 x12) as proof of (cP X)
% 296.94/297.33 Found (x2 x12) as proof of (cP X)
% 296.94/297.33 Found x20:=(x2 x12):(cP X)
% 296.94/297.33 Instantiate: X0:=X:fofType
% 296.94/297.33 Found (x2 x12) as proof of (cP X0)
% 296.94/297.33 Found (x2 x12) as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Instantiate: X0:=X:fofType
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 296.94/297.33 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x11:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x11 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x3):(cP X)
% 296.94/297.33 Found (x2 x3) as proof of (cP X)
% 296.94/297.33 Found (x2 x3) as proof of (cP X)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Instantiate: X:=X0:fofType
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found (x2 x40) as proof of (cP X0)
% 296.94/297.33 Found (x2 x40) as proof of (cP X0)
% 296.94/297.33 Found (x2 x40) as proof of (cP X0)
% 296.94/297.33 Found x21:(cP X)
% 296.94/297.33 Found x21 as proof of (cP X)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x21:(cP X)
% 296.94/297.33 Instantiate: X0:=X:fofType
% 296.94/297.33 Found x21 as proof of (cP X0)
% 296.94/297.33 Found x20:=(x2 x11):(cP X)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found (x2 x11) as proof of (cP X0)
% 296.94/297.33 Found x40:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 296.94/297.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x20:(cP X)
% 299.94/300.33 Found x20 as proof of (cP X)
% 299.94/300.33 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Found x21 as proof of (cP X)
% 299.94/300.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Found x21 as proof of (cP X)
% 299.94/300.33 Found x10:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x20:(cP X)
% 299.94/300.33 Found x20 as proof of (cP X)
% 299.94/300.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x3:((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x3 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Found x21 as proof of (cP X)
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Found x21 as proof of (cP X)
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (fun (x5:(forall (X:fofType), (cP X)))=> x10) as proof of ((forall (X:fofType), (cP X))->((ex fofType) (fun (Y:fofType)=> (cP Y))))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found x21 as proof of (cP X0)
% 299.94/300.33 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found x21 as proof of (cP X0)
% 299.94/300.33 Found x10:=(x1 x21):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x51:(cP X0)
% 299.94/300.33 Instantiate: X:=X0:fofType
% 299.94/300.33 Found x51 as proof of (cP X)
% 299.94/300.33 Found x10:=(x1 x20):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x21:(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found x21 as proof of (cP X0)
% 299.94/300.33 Found x40:=(x4 x50):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x40 as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found x20:(cP X)
% 299.94/300.33 Instantiate: X:=X0:fofType
% 299.94/300.33 Found x20 as proof of (cP X0)
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found (x2 x12) as proof of (cP X)
% 299.94/300.33 Found x20:=(x2 x12):(cP X)
% 299.94/300.33 Instantiate: X0:=X:fofType
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found (x2 x12) as proof of (cP X0)
% 299.94/300.33 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found x10:=(x1 x22):((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:fofType)=> (cP Y)))
% 299.94/300.33 Found (x1 x22) as proof of ((ex fofType) (fun (Y:f
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