TSTP Solution File: SYO145^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO145^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 00:50:44 EDT 2022
% Result : Timeout 300.04s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SYO145^5 : TPTP v7.5.0. Released v4.0.0.
% 0.01/0.07 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n001.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % RAMPerCPU : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % DateTime : Fri Mar 11 16:46:11 EST 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.06/0.26 Python 2.7.5
% 1.36/1.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.36/1.58 FOF formula (<kernel.Constant object at 0x1ee0cf8>, <kernel.DependentProduct object at 0x1ee02d8>) of role type named cP
% 1.36/1.58 Using role type
% 1.36/1.58 Declaring cP:(fofType->(fofType->Prop))
% 1.36/1.58 FOF formula ((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy))))->(forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))))) of role conjecture named cEXPVAR_BUG
% 1.36/1.58 Conjecture to prove = ((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy))))->(forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))))):Prop
% 1.36/1.58 Parameter fofType_DUMMY:fofType.
% 1.36/1.58 We need to prove ['((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy))))->(forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))))']
% 1.36/1.58 Parameter fofType:Type.
% 1.36/1.58 Parameter cP:(fofType->(fofType->Prop)).
% 1.36/1.58 Trying to prove ((forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cP Xx) Xy))))->(forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))))
% 1.36/1.58 Found x2:((cP Xx0) x1)
% 1.36/1.58 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 1.36/1.58 Found x2 as proof of ((cP Xx) x3)
% 1.36/1.58 Found x2:((cP Xx0) x1)
% 1.36/1.58 Instantiate: x3:=Xx0:fofType;x4:=x1:fofType
% 1.36/1.58 Found x2 as proof of ((cP x3) x4)
% 1.36/1.58 Found x3:((cP Xx0) x2)
% 1.36/1.58 Instantiate: x0:=Xx0:fofType;x4:=x2:fofType
% 1.36/1.58 Found x3 as proof of ((cP x0) x4)
% 1.36/1.58 Found x3:((cP Xx0) x2)
% 1.36/1.58 Instantiate: x0:=x2:fofType;Xx0:=Xx:fofType
% 1.36/1.58 Found x3 as proof of ((cP Xx) x0)
% 1.36/1.58 Found x4:((cP Xx0) x3)
% 1.36/1.58 Instantiate: x0:=x3:fofType;Xx0:=Xx:fofType
% 1.36/1.58 Found x4 as proof of ((cP Xx) x0)
% 1.36/1.58 Found x4:((cP Xx0) x3)
% 1.36/1.58 Instantiate: x0:=Xx0:fofType;x1:=x3:fofType
% 1.36/1.58 Found x4 as proof of ((cP x0) x1)
% 1.36/1.58 Found x4:((cP Xx0) x3)
% 1.36/1.58 Instantiate: x0:=x3:fofType;Xx0:=Xx:fofType
% 1.36/1.58 Found (fun (x4:((cP Xx0) x3))=> x4) as proof of ((cP Xx) x0)
% 1.36/1.58 Found x4:((cP Xx0) x3)
% 1.36/1.58 Instantiate: x0:=Xx0:fofType;x1:=x3:fofType
% 1.36/1.58 Found (fun (x4:((cP Xx0) x3))=> x4) as proof of ((cP x0) x1)
% 1.36/1.58 Found x5:((cP Xx1) x4)
% 1.36/1.58 Instantiate: x6:=Xx1:fofType;x7:=x4:fofType
% 1.36/1.58 Found x5 as proof of ((cP x6) x7)
% 1.36/1.58 Found x5:((cP Xx1) x4)
% 1.36/1.58 Instantiate: Xx1:=Xx:fofType;x6:=x4:fofType
% 1.36/1.58 Found x5 as proof of ((cP Xx) x6)
% 1.36/1.58 Found x6:((cP Xx1) x5)
% 1.36/1.58 Instantiate: x3:=Xx1:fofType;x7:=x5:fofType
% 1.36/1.58 Found x6 as proof of ((cP x3) x7)
% 1.36/1.58 Found x6:((cP Xx1) x5)
% 1.36/1.58 Instantiate: x3:=x5:fofType;Xx1:=Xx:fofType
% 1.36/1.58 Found x6 as proof of ((cP Xx) x3)
% 1.36/1.58 Found x2:((cP Xx0) x1)
% 1.36/1.58 Instantiate: Xx0:=x6:fofType;x4:=x1:fofType
% 1.36/1.58 Found x2 as proof of ((cP x3) x4)
% 1.36/1.58 Found (conj00 x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found ((conj0 ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found x2:((cP Xx0) x1)
% 1.36/1.58 Instantiate: Xx0:=x6:fofType;x4:=x1:fofType
% 1.36/1.58 Found x2 as proof of ((cP x3) x4)
% 1.36/1.58 Found (conj00 x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found ((conj0 ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found (((conj ((cP x3) x4)) ((cP Xx1) x6)) x2) as proof of (((cP Xx1) x6)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 1.36/1.58 Found x7:((cP Xx1) x6)
% 1.36/1.58 Instantiate: x3:=x6:fofType;Xx1:=Xx:fofType
% 1.36/1.58 Found x7 as proof of ((cP Xx) x3)
% 1.36/1.58 Found x7:((cP Xx1) x6)
% 1.36/1.58 Instantiate: x3:=Xx1:fofType;x4:=x6:fofType
% 1.36/1.58 Found x7 as proof of ((cP x3) x4)
% 1.36/1.58 Found x2:((cP Xx0) x1)
% 1.36/1.58 Instantiate: Xx0:=x6:fofType;x4:=x1:fofType
% 1.36/1.58 Found x2 as proof of ((cP x3) x4)
% 1.44/1.70 Found ((conj00 x2) x7) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 1.44/1.70 Found (((conj0 ((cP Xx) x3)) x2) x7) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 1.44/1.70 Found ((((conj ((cP x3) x4)) ((cP Xx) x3)) x2) x7) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 1.44/1.70 Found (fun (x7:((cP Xx1) x6))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x2) x7)) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 1.44/1.70 Found x7:((cP Xx1) x6)
% 1.44/1.70 Instantiate: Xx1:=x1:fofType;x4:=x6:fofType
% 1.44/1.70 Found (fun (x7:((cP Xx1) x6))=> x7) as proof of ((cP x3) x4)
% 1.44/1.70 Found x6:((cP Xx1) x5)
% 1.44/1.70 Instantiate: Xx1:=Xx:fofType;x0:=x5:fofType
% 1.44/1.70 Found x6 as proof of ((cP Xx) x0)
% 1.44/1.70 Found x6:((cP Xx1) x5)
% 1.44/1.70 Instantiate: x0:=Xx1:fofType;x7:=x5:fofType
% 1.44/1.70 Found x6 as proof of ((cP x0) x7)
% 1.44/1.70 Found x3:((cP Xx0) x2)
% 1.44/1.70 Instantiate: Xx0:=x5:fofType;x7:=x2:fofType
% 1.44/1.70 Found x3 as proof of ((cP x0) x7)
% 1.44/1.70 Found ((conj00 x3) x6) as proof of ((and ((cP x0) x7)) ((cP Xx) x0))
% 1.44/1.70 Found (((conj0 ((cP Xx) x0)) x3) x6) as proof of ((and ((cP x0) x7)) ((cP Xx) x0))
% 1.44/1.70 Found ((((conj ((cP x0) x7)) ((cP Xx) x0)) x3) x6) as proof of ((and ((cP x0) x7)) ((cP Xx) x0))
% 1.44/1.70 Found ((((conj ((cP x0) x7)) ((cP Xx) x0)) x3) x6) as proof of ((and ((cP x0) x7)) ((cP Xx) x0))
% 1.44/1.70 Found (ex_intro010 ((((conj ((cP x0) x7)) ((cP Xx) x0)) x3) x6)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 1.44/1.70 Found ((ex_intro01 x2) ((((conj ((cP x0) x2)) ((cP Xx) x0)) x3) x6)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 1.44/1.70 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x2) ((((conj ((cP x0) x2)) ((cP Xx) x0)) x3) x6)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 1.44/1.70 Found (fun (x6:((cP Xx1) x5))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x2) ((((conj ((cP x0) x2)) ((cP Xx) x0)) x3) x6))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 1.44/1.70 Found x3:((cP Xx0) x2)
% 1.44/1.70 Instantiate: Xx0:=x6:fofType;x4:=x2:fofType
% 1.44/1.70 Found x3 as proof of ((cP x0) x4)
% 1.44/1.70 Found (conj00 x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found ((conj0 ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found x3:((cP Xx0) x2)
% 1.44/1.70 Instantiate: Xx0:=x6:fofType;x4:=x2:fofType
% 1.44/1.70 Found x3 as proof of ((cP x0) x4)
% 1.44/1.70 Found (conj00 x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found ((conj0 ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x4)) ((cP Xx1) x6)) x3) as proof of (((cP Xx1) x6)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 1.44/1.70 Found x7:((cP Xx1) x6)
% 1.44/1.70 Instantiate: x0:=Xx1:fofType;x4:=x6:fofType
% 1.44/1.70 Found x7 as proof of ((cP x0) x4)
% 1.44/1.70 Found x7:((cP Xx1) x6)
% 1.44/1.70 Instantiate: Xx1:=Xx:fofType;x0:=x6:fofType
% 1.44/1.70 Found x7 as proof of ((cP Xx) x0)
% 1.44/1.70 Found x4:((cP Xx0) x3)
% 1.44/1.70 Instantiate: x1:=x3:fofType;Xx0:=x6:fofType
% 1.44/1.70 Found x4 as proof of ((cP x0) x1)
% 1.44/1.70 Found (conj00 x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 1.44/1.70 Found ((conj0 ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 1.44/1.70 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 1.44/1.70 Found x4:((cP Xx0) x3)
% 1.44/1.70 Instantiate: x1:=x3:fofType;Xx0:=x6:fofType
% 1.44/1.70 Found x4 as proof of ((cP x0) x1)
% 1.44/1.70 Found (conj00 x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 2.43/2.60 Found ((conj0 ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 2.43/2.60 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 2.43/2.60 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 2.43/2.60 Found (((conj ((cP x0) x1)) ((cP Xx1) x6)) x4) as proof of (((cP Xx1) x6)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 2.43/2.60 Found x7:((cP Xx1) x6)
% 2.43/2.60 Instantiate: Xx1:=x3:fofType;x1:=x6:fofType
% 2.43/2.60 Found (fun (x7:((cP Xx1) x6))=> x7) as proof of ((cP x0) x1)
% 2.43/2.60 Found x7:((cP Xx1) x6)
% 2.43/2.60 Instantiate: x0:=Xx1:fofType;x1:=x6:fofType
% 2.43/2.60 Found x7 as proof of ((cP x0) x1)
% 2.43/2.60 Found x7:((cP Xx1) x6)
% 2.43/2.60 Instantiate: Xx1:=Xx:fofType;x0:=x6:fofType
% 2.43/2.60 Found x7 as proof of ((cP Xx) x0)
% 2.43/2.60 Found x6:((cP Xx1) x5)
% 2.43/2.60 Instantiate: Xx1:=x3:fofType;x1:=x5:fofType
% 2.43/2.60 Found (fun (x6:((cP Xx1) x5))=> x6) as proof of ((cP x0) x1)
% 2.43/2.60 Found x6:((cP Xx1) x5)
% 2.43/2.60 Instantiate: Xx1:=x3:fofType;x1:=x5:fofType
% 2.43/2.60 Found (fun (x6:((cP Xx1) x5))=> x6) as proof of ((cP x0) x1)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x10:=x1:fofType;x9:=Xx0:fofType
% 2.43/2.60 Found x2 as proof of ((cP x9) x10)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x9:=x1:fofType;Xx0:=Xx:fofType
% 2.43/2.60 Found x2 as proof of ((cP Xx) x9)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x10:=x1:fofType;x6:=Xx0:fofType
% 2.43/2.60 Found x2 as proof of ((cP x6) x10)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: Xx0:=Xx:fofType;x6:=x1:fofType
% 2.43/2.60 Found x2 as proof of ((cP Xx) x6)
% 2.43/2.60 Found x5:((cP Xx1) x4)
% 2.43/2.60 Instantiate: Xx1:=x9:fofType;x7:=x4:fofType
% 2.43/2.60 Found x5 as proof of ((cP x6) x7)
% 2.43/2.60 Found (conj00 x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found ((conj0 ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found x5:((cP Xx1) x4)
% 2.43/2.60 Instantiate: Xx1:=x9:fofType;x7:=x4:fofType
% 2.43/2.60 Found x5 as proof of ((cP x6) x7)
% 2.43/2.60 Found (conj00 x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found ((conj0 ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found (((conj ((cP x6) x7)) ((cP Xx2) x9)) x5) as proof of (((cP Xx2) x9)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x6:=Xx0:fofType;x7:=x1:fofType
% 2.43/2.60 Found x2 as proof of ((cP x6) x7)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: Xx0:=Xx:fofType;x6:=x1:fofType
% 2.43/2.60 Found x2 as proof of ((cP Xx) x6)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x10:=x1:fofType;x3:=Xx0:fofType
% 2.43/2.60 Found x2 as proof of ((cP x3) x10)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 2.43/2.60 Found x2 as proof of ((cP Xx) x3)
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: Xx0:=x9:fofType;x7:=x1:fofType
% 2.43/2.60 Found x2 as proof of ((cP x3) x7)
% 2.43/2.60 Found (conj00 x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found ((conj0 ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found x2:((cP Xx0) x1)
% 2.43/2.60 Instantiate: Xx0:=x9:fofType;x7:=x1:fofType
% 2.43/2.60 Found x2 as proof of ((cP x3) x7)
% 2.43/2.60 Found (conj00 x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found ((conj0 ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.43/2.60 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.53/2.70 Found (((conj ((cP x3) x7)) ((cP Xx2) x9)) x2) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.53/2.70 Found x2:((cP Xx0) x1)
% 2.53/2.70 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 2.53/2.70 Found x2 as proof of ((cP Xx) x3)
% 2.53/2.70 Found x2:((cP Xx0) x1)
% 2.53/2.70 Instantiate: x3:=Xx0:fofType;x7:=x1:fofType
% 2.53/2.70 Found x2 as proof of ((cP x3) x7)
% 2.53/2.70 Found x6:((cP Xx1) x5)
% 2.53/2.70 Instantiate: Xx1:=x1:fofType;x7:=x5:fofType
% 2.53/2.70 Found x6 as proof of ((cP x3) x7)
% 2.53/2.70 Found ((conj00 x6) x2) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found (((conj0 ((cP Xx) x3)) x6) x2) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found (fun (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2)) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found (fun (x9:fofType) (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2)) as proof of (((cP Xx2) x9)->((and ((cP x3) x7)) ((cP Xx) x3)))
% 2.53/2.70 Found (fun (x9:fofType) (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2)) as proof of (forall (x:fofType), (((cP Xx2) x)->((and ((cP x3) x7)) ((cP Xx) x3))))
% 2.53/2.70 Found (ex_ind20 (fun (x9:fofType) (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2))) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found ((ex_ind2 ((and ((cP x3) x7)) ((cP Xx) x3))) (fun (x9:fofType) (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2))) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found (((fun (P:Prop) (x9:(forall (x:fofType), (((cP Xx2) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx2) Xy))) P) x9) x8)) ((and ((cP x3) x7)) ((cP Xx) x3))) (fun (x9:fofType) (x10:((cP Xx2) x9))=> ((((conj ((cP x3) x7)) ((cP Xx) x3)) x6) x2))) as proof of ((and ((cP x3) x7)) ((cP Xx) x3))
% 2.53/2.70 Found x9:((cP Xx2) x8)
% 2.53/2.70 Instantiate: Xx2:=Xx:fofType;x0:=x8:fofType
% 2.53/2.70 Found x9 as proof of ((cP Xx) x0)
% 2.53/2.70 Found x9:((cP Xx2) x8)
% 2.53/2.70 Instantiate: x10:=x8:fofType;x0:=Xx2:fofType
% 2.53/2.70 Found x9 as proof of ((cP x0) x10)
% 2.53/2.70 Found x6:((cP Xx1) x5)
% 2.53/2.70 Instantiate: x10:=x5:fofType;Xx1:=x8:fofType
% 2.53/2.70 Found x6 as proof of ((cP x0) x10)
% 2.53/2.70 Found ((conj00 x6) x9) as proof of ((and ((cP x0) x10)) ((cP Xx) x0))
% 2.53/2.70 Found (((conj0 ((cP Xx) x0)) x6) x9) as proof of ((and ((cP x0) x10)) ((cP Xx) x0))
% 2.53/2.70 Found ((((conj ((cP x0) x10)) ((cP Xx) x0)) x6) x9) as proof of ((and ((cP x0) x10)) ((cP Xx) x0))
% 2.53/2.70 Found ((((conj ((cP x0) x10)) ((cP Xx) x0)) x6) x9) as proof of ((and ((cP x0) x10)) ((cP Xx) x0))
% 2.53/2.70 Found (ex_intro010 ((((conj ((cP x0) x10)) ((cP Xx) x0)) x6) x9)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 2.53/2.70 Found ((ex_intro01 x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x9)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 2.53/2.70 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x9)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 2.53/2.70 Found (fun (x9:((cP Xx2) x8))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x9))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 2.53/2.70 Found x7:((cP Xx1) x6)
% 2.53/2.70 Instantiate: Xx1:=x9:fofType;x4:=x6:fofType
% 2.53/2.70 Found x7 as proof of ((cP x3) x4)
% 2.53/2.70 Found (conj00 x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found ((conj0 ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found x7:((cP Xx1) x6)
% 2.53/2.70 Instantiate: Xx1:=x9:fofType;x4:=x6:fofType
% 2.53/2.70 Found x7 as proof of ((cP x3) x4)
% 2.53/2.70 Found (conj00 x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 2.53/2.70 Found ((conj0 ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 3.76/3.93 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 3.76/3.93 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 3.76/3.93 Found (((conj ((cP x3) x4)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 3.76/3.93 Found x2:((cP Xx0) x1)
% 3.76/3.93 Instantiate: x3:=Xx0:fofType;x4:=x1:fofType
% 3.76/3.93 Found x2 as proof of ((cP x3) x4)
% 3.76/3.93 Found x2:((cP Xx0) x1)
% 3.76/3.93 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 3.76/3.93 Found x2 as proof of ((cP Xx) x3)
% 3.76/3.93 Found x3:((cP Xx0) x2)
% 3.76/3.93 Instantiate: Xx0:=x9:fofType;x4:=x2:fofType
% 3.76/3.93 Found x3 as proof of ((cP x0) x4)
% 3.76/3.93 Found (conj00 x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found ((conj0 ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found x3:((cP Xx0) x2)
% 3.76/3.93 Instantiate: Xx0:=x9:fofType;x4:=x2:fofType
% 3.76/3.93 Found x3 as proof of ((cP x0) x4)
% 3.76/3.93 Found (conj00 x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found ((conj0 ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x4)) ((cP Xx2) x9)) x3) as proof of (((cP Xx2) x9)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 3.76/3.93 Found x10:((cP Xx2) x9)
% 3.76/3.93 Instantiate: x0:=Xx2:fofType;x4:=x9:fofType
% 3.76/3.93 Found x10 as proof of ((cP x0) x4)
% 3.76/3.93 Found x10:((cP Xx2) x9)
% 3.76/3.93 Instantiate: Xx2:=Xx:fofType;x0:=x9:fofType
% 3.76/3.93 Found x10 as proof of ((cP Xx) x0)
% 3.76/3.93 Found x7:((cP Xx1) x6)
% 3.76/3.93 Instantiate: Xx1:=x9:fofType;x1:=x6:fofType
% 3.76/3.93 Found x7 as proof of ((cP x0) x1)
% 3.76/3.93 Found (conj00 x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found ((conj0 ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found x7:((cP Xx1) x6)
% 3.76/3.93 Instantiate: Xx1:=x9:fofType;x1:=x6:fofType
% 3.76/3.93 Found x7 as proof of ((cP x0) x1)
% 3.76/3.93 Found (conj00 x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found ((conj0 ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found (((conj ((cP x0) x1)) ((cP Xx2) x9)) x7) as proof of (((cP Xx2) x9)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 3.76/3.93 Found x4:((cP Xx0) x3)
% 3.76/3.93 Instantiate: x0:=x3:fofType;Xx0:=Xx:fofType
% 3.76/3.93 Found x4 as proof of ((cP Xx) x0)
% 3.76/3.93 Found x4:((cP Xx0) x3)
% 3.76/3.93 Instantiate: x0:=Xx0:fofType;x1:=x3:fofType
% 3.76/3.93 Found x4 as proof of ((cP x0) x1)
% 3.76/3.93 Found x10:((cP Xx2) x9)
% 3.76/3.93 Instantiate: Xx2:=x3:fofType;x1:=x9:fofType
% 3.76/3.93 Found x10 as proof of ((cP x0) x1)
% 3.76/3.93 Found ((conj00 x10) x4) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 3.76/3.93 Found (((conj0 ((cP Xx) x0)) x10) x4) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 3.76/3.93 Found ((((conj ((cP x0) x1)) ((cP Xx) x0)) x10) x4) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 3.76/3.93 Found (fun (x10:((cP Xx2) x9))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x10) x4)) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 3.76/3.93 Found x11:((cP Xx3) x10)
% 3.76/3.93 Instantiate: x12:=Xx3:fofType;x13:=x10:fofType
% 3.76/3.93 Found x11 as proof of ((cP x12) x13)
% 3.76/3.93 Found x11:((cP Xx3) x10)
% 3.76/3.93 Instantiate: Xx3:=Xx:fofType;x12:=x10:fofType
% 3.76/3.93 Found x11 as proof of ((cP Xx) x12)
% 3.76/3.93 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: x13:=x11:fofType;x9:=Xx3:fofType
% 4.14/4.33 Found x12 as proof of ((cP x9) x13)
% 4.14/4.33 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: Xx3:=Xx:fofType;x9:=x11:fofType
% 4.14/4.33 Found x12 as proof of ((cP Xx) x9)
% 4.14/4.33 Found x8:((cP Xx2) x7)
% 4.14/4.33 Instantiate: x10:=x7:fofType;Xx2:=x12:fofType
% 4.14/4.33 Found x8 as proof of ((cP x9) x10)
% 4.14/4.33 Found (conj00 x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found ((conj0 ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found x8:((cP Xx2) x7)
% 4.14/4.33 Instantiate: x10:=x7:fofType;Xx2:=x12:fofType
% 4.14/4.33 Found x8 as proof of ((cP x9) x10)
% 4.14/4.33 Found (conj00 x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found ((conj0 ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found (((conj ((cP x9) x10)) ((cP Xx3) x12)) x8) as proof of (((cP Xx3) x12)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 4.14/4.33 Found x13:((cP Xx3) x12)
% 4.14/4.33 Instantiate: x10:=x12:fofType;x9:=Xx3:fofType
% 4.14/4.33 Found x13 as proof of ((cP x9) x10)
% 4.14/4.33 Found x13:((cP Xx3) x12)
% 4.14/4.33 Instantiate: Xx3:=Xx:fofType;x9:=x12:fofType
% 4.14/4.33 Found x13 as proof of ((cP Xx) x9)
% 4.14/4.33 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: x13:=x11:fofType;x6:=Xx3:fofType
% 4.14/4.33 Found x12 as proof of ((cP x6) x13)
% 4.14/4.33 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: Xx3:=Xx:fofType;x6:=x11:fofType
% 4.14/4.33 Found x12 as proof of ((cP Xx) x6)
% 4.14/4.33 Found x5:((cP Xx1) x4)
% 4.14/4.33 Instantiate: x10:=x4:fofType;Xx1:=x12:fofType
% 4.14/4.33 Found x5 as proof of ((cP x6) x10)
% 4.14/4.33 Found (conj00 x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found ((conj0 ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found x5:((cP Xx1) x4)
% 4.14/4.33 Instantiate: x10:=x4:fofType;Xx1:=x12:fofType
% 4.14/4.33 Found x5 as proof of ((cP x6) x10)
% 4.14/4.33 Found (conj00 x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found ((conj0 ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found (((conj ((cP x6) x10)) ((cP Xx3) x12)) x5) as proof of (((cP Xx3) x12)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 4.14/4.33 Found x13:((cP Xx3) x12)
% 4.14/4.33 Instantiate: Xx3:=Xx:fofType;x6:=x12:fofType
% 4.14/4.33 Found x13 as proof of ((cP Xx) x6)
% 4.14/4.33 Found x13:((cP Xx3) x12)
% 4.14/4.33 Instantiate: x10:=x12:fofType;x6:=Xx3:fofType
% 4.14/4.33 Found x13 as proof of ((cP x6) x10)
% 4.14/4.33 Found x5:((cP Xx1) x4)
% 4.14/4.33 Instantiate: x10:=x4:fofType;Xx1:=x12:fofType
% 4.14/4.33 Found x5 as proof of ((cP x6) x10)
% 4.14/4.33 Found ((conj00 x5) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 4.14/4.33 Found (((conj0 ((cP Xx) x6)) x5) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 4.14/4.33 Found ((((conj ((cP x6) x10)) ((cP Xx) x6)) x5) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 4.14/4.33 Found (fun (x13:((cP Xx3) x12))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x5) x13)) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 4.14/4.33 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: Xx3:=Xx:fofType;x3:=x11:fofType
% 4.14/4.33 Found x12 as proof of ((cP Xx) x3)
% 4.14/4.33 Found x12:((cP Xx3) x11)
% 4.14/4.33 Instantiate: x3:=Xx3:fofType;x13:=x11:fofType
% 4.14/4.33 Found x12 as proof of ((cP x3) x13)
% 4.14/4.33 Found x6:((cP Xx1) x5)
% 4.14/4.33 Instantiate: Xx1:=x11:fofType;x13:=x5:fofType
% 4.21/4.44 Found x6 as proof of ((cP x3) x13)
% 4.21/4.44 Found ((conj00 x6) x12) as proof of ((and ((cP x3) x13)) ((cP Xx) x3))
% 4.21/4.44 Found (((conj0 ((cP Xx) x3)) x6) x12) as proof of ((and ((cP x3) x13)) ((cP Xx) x3))
% 4.21/4.44 Found ((((conj ((cP x3) x13)) ((cP Xx) x3)) x6) x12) as proof of ((and ((cP x3) x13)) ((cP Xx) x3))
% 4.21/4.44 Found ((((conj ((cP x3) x13)) ((cP Xx) x3)) x6) x12) as proof of ((and ((cP x3) x13)) ((cP Xx) x3))
% 4.21/4.44 Found (ex_intro010 ((((conj ((cP x3) x13)) ((cP Xx) x3)) x6) x12)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 4.21/4.44 Found ((ex_intro01 x5) ((((conj ((cP x3) x5)) ((cP Xx) x3)) x6) x12)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 4.21/4.44 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x5) ((((conj ((cP x3) x5)) ((cP Xx) x3)) x6) x12)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 4.21/4.44 Found (fun (x12:((cP Xx3) x11))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x5) ((((conj ((cP x3) x5)) ((cP Xx) x3)) x6) x12))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 4.21/4.44 Found x10:((cP Xx2) x9)
% 4.21/4.44 Instantiate: Xx2:=x12:fofType;x7:=x9:fofType
% 4.21/4.44 Found x10 as proof of ((cP x6) x7)
% 4.21/4.44 Found (conj00 x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found ((conj0 ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found x10:((cP Xx2) x9)
% 4.21/4.44 Instantiate: Xx2:=x12:fofType;x7:=x9:fofType
% 4.21/4.44 Found x10 as proof of ((cP x6) x7)
% 4.21/4.44 Found (conj00 x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found ((conj0 ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found (((conj ((cP x6) x7)) ((cP Xx3) x12)) x10) as proof of (((cP Xx3) x12)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 4.21/4.44 Found x2:((cP Xx0) x1)
% 4.21/4.44 Instantiate: x10:=x1:fofType;Xx0:=x12:fofType
% 4.21/4.44 Found x2 as proof of ((cP x3) x10)
% 4.21/4.44 Found (conj00 x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found ((conj0 ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found x2:((cP Xx0) x1)
% 4.21/4.44 Instantiate: x10:=x1:fofType;Xx0:=x12:fofType
% 4.21/4.44 Found x2 as proof of ((cP x3) x10)
% 4.21/4.44 Found (conj00 x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found ((conj0 ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found (((conj ((cP x3) x10)) ((cP Xx3) x12)) x2) as proof of (((cP Xx3) x12)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 4.21/4.44 Found x13:((cP Xx3) x12)
% 4.21/4.44 Instantiate: Xx3:=Xx:fofType;x6:=x12:fofType
% 4.21/4.44 Found x13 as proof of ((cP Xx) x6)
% 4.21/4.44 Found x13:((cP Xx3) x12)
% 4.21/4.44 Instantiate: x6:=Xx3:fofType;x7:=x12:fofType
% 4.21/4.44 Found x13 as proof of ((cP x6) x7)
% 4.21/4.44 Found x5:((cP Xx1) x4)
% 4.21/4.44 Instantiate: Xx1:=x12:fofType;x7:=x4:fofType
% 4.21/4.44 Found x5 as proof of ((cP x6) x7)
% 4.21/4.44 Found ((conj00 x5) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 4.21/4.44 Found (((conj0 ((cP Xx) x6)) x5) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 4.66/4.91 Found ((((conj ((cP x6) x7)) ((cP Xx) x6)) x5) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 4.66/4.91 Found (fun (x13:((cP Xx3) x12))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x5) x13)) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 4.66/4.91 Found x6:((cP Xx1) x5)
% 4.66/4.91 Instantiate: x3:=x5:fofType;Xx1:=Xx:fofType
% 4.66/4.91 Found x6 as proof of ((cP Xx) x3)
% 4.66/4.91 Found x6:((cP Xx1) x5)
% 4.66/4.91 Instantiate: x10:=x5:fofType;x3:=Xx1:fofType
% 4.66/4.91 Found x6 as proof of ((cP x3) x10)
% 4.66/4.91 Found x13:((cP Xx3) x12)
% 4.66/4.91 Instantiate: Xx3:=x5:fofType;x10:=x12:fofType
% 4.66/4.91 Found x13 as proof of ((cP x3) x10)
% 4.66/4.91 Found ((conj00 x13) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 4.66/4.91 Found (((conj0 ((cP Xx) x3)) x13) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 4.66/4.91 Found ((((conj ((cP x3) x10)) ((cP Xx) x3)) x13) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 4.66/4.91 Found (fun (x13:((cP Xx3) x12))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x13) x6)) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 4.66/4.91 Found x12:((cP Xx3) x11)
% 4.66/4.91 Instantiate: x0:=Xx3:fofType;x13:=x11:fofType
% 4.66/4.91 Found x12 as proof of ((cP x0) x13)
% 4.66/4.91 Found x12:((cP Xx3) x11)
% 4.66/4.91 Instantiate: Xx3:=Xx:fofType;x0:=x11:fofType
% 4.66/4.91 Found x12 as proof of ((cP Xx) x0)
% 4.66/4.91 Found x7:((cP Xx1) x6)
% 4.66/4.91 Instantiate: Xx1:=x12:fofType;x4:=x6:fofType
% 4.66/4.91 Found x7 as proof of ((cP x3) x4)
% 4.66/4.91 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found x7:((cP Xx1) x6)
% 4.66/4.91 Instantiate: Xx1:=x12:fofType;x4:=x6:fofType
% 4.66/4.91 Found x7 as proof of ((cP x3) x4)
% 4.66/4.91 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found (((conj ((cP x3) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 4.66/4.91 Found x13:((cP Xx3) x12)
% 4.66/4.91 Instantiate: x3:=Xx3:fofType;x4:=x12:fofType
% 4.66/4.91 Found x13 as proof of ((cP x3) x4)
% 4.66/4.91 Found x13:((cP Xx3) x12)
% 4.66/4.91 Instantiate: Xx3:=Xx:fofType;x3:=x12:fofType
% 4.66/4.91 Found x13 as proof of ((cP Xx) x3)
% 4.66/4.91 Found x7:((cP Xx1) x6)
% 4.66/4.91 Instantiate: Xx1:=x12:fofType;x4:=x6:fofType
% 4.66/4.91 Found x7 as proof of ((cP x0) x4)
% 4.66/4.91 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found x7:((cP Xx1) x6)
% 4.66/4.91 Instantiate: Xx1:=x12:fofType;x4:=x6:fofType
% 4.66/4.91 Found x7 as proof of ((cP x0) x4)
% 4.66/4.91 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found (((conj ((cP x0) x4)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 4.66/4.91 Found x3:((cP Xx0) x2)
% 4.66/4.91 Instantiate: x0:=x2:fofType;Xx0:=Xx:fofType
% 4.66/4.91 Found x3 as proof of ((cP Xx) x0)
% 4.66/4.91 Found x3:((cP Xx0) x2)
% 4.66/4.91 Instantiate: x0:=Xx0:fofType;x4:=x2:fofType
% 4.66/4.91 Found x3 as proof of ((cP x0) x4)
% 4.66/4.91 Found x13:((cP Xx3) x12)
% 4.66/4.91 Instantiate: Xx3:=x2:fofType;x4:=x12:fofType
% 6.13/6.31 Found x13 as proof of ((cP x0) x4)
% 6.13/6.31 Found ((conj00 x13) x3) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 6.13/6.31 Found (((conj0 ((cP Xx) x0)) x13) x3) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 6.13/6.31 Found ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x3) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 6.13/6.31 Found (fun (x13:((cP Xx3) x12))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x3)) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 6.13/6.31 Found x7:((cP Xx1) x6)
% 6.13/6.31 Instantiate: Xx1:=x12:fofType;x1:=x6:fofType
% 6.13/6.31 Found x7 as proof of ((cP x0) x1)
% 6.13/6.31 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found x7:((cP Xx1) x6)
% 6.13/6.31 Instantiate: Xx1:=x12:fofType;x1:=x6:fofType
% 6.13/6.31 Found x7 as proof of ((cP x0) x1)
% 6.13/6.31 Found (conj00 x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found ((conj0 ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found (((conj ((cP x0) x1)) ((cP Xx3) x12)) x7) as proof of (((cP Xx3) x12)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 6.13/6.31 Found x13:((cP Xx3) x12)
% 6.13/6.31 Instantiate: Xx3:=Xx:fofType;x0:=x12:fofType
% 6.13/6.31 Found x13 as proof of ((cP Xx) x0)
% 6.13/6.31 Found x13:((cP Xx3) x12)
% 6.13/6.31 Instantiate: x0:=Xx3:fofType;x1:=x12:fofType
% 6.13/6.31 Found x13 as proof of ((cP x0) x1)
% 6.13/6.31 Found x7:((cP Xx1) x6)
% 6.13/6.31 Instantiate: Xx1:=x12:fofType;x1:=x6:fofType
% 6.13/6.31 Found x7 as proof of ((cP x0) x1)
% 6.13/6.31 Found ((conj00 x7) x13) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 6.13/6.31 Found (((conj0 ((cP Xx) x0)) x7) x13) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 6.13/6.31 Found ((((conj ((cP x0) x1)) ((cP Xx) x0)) x7) x13) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 6.13/6.31 Found (fun (x13:((cP Xx3) x12))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x7) x13)) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 6.13/6.31 Found x8:((cP Xx2) x7)
% 6.13/6.31 Instantiate: Xx2:=Xx:fofType;x15:=x7:fofType
% 6.13/6.31 Found x8 as proof of ((cP Xx) x15)
% 6.13/6.31 Found x8:((cP Xx2) x7)
% 6.13/6.31 Instantiate: x15:=Xx2:fofType;x16:=x7:fofType
% 6.13/6.31 Found x8 as proof of ((cP x15) x16)
% 6.13/6.31 Found x14:((cP Xx4) x13)
% 6.13/6.31 Instantiate: x16:=x13:fofType;Xx4:=x7:fofType
% 6.13/6.31 Found x14 as proof of ((cP x15) x16)
% 6.13/6.31 Found ((conj00 x14) x8) as proof of ((and ((cP x15) x16)) ((cP Xx) x15))
% 6.13/6.31 Found (((conj0 ((cP Xx) x15)) x14) x8) as proof of ((and ((cP x15) x16)) ((cP Xx) x15))
% 6.13/6.31 Found ((((conj ((cP x15) x16)) ((cP Xx) x15)) x14) x8) as proof of ((and ((cP x15) x16)) ((cP Xx) x15))
% 6.13/6.31 Found ((((conj ((cP x15) x16)) ((cP Xx) x15)) x14) x8) as proof of ((and ((cP x15) x16)) ((cP Xx) x15))
% 6.13/6.31 Found (ex_intro010 ((((conj ((cP x15) x16)) ((cP Xx) x15)) x14) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15))))
% 6.13/6.31 Found ((ex_intro01 x13) ((((conj ((cP x15) x13)) ((cP Xx) x15)) x14) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15))))
% 6.13/6.31 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15)))) x13) ((((conj ((cP x15) x13)) ((cP Xx) x15)) x14) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15))))
% 6.13/6.31 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15)))) x13) ((((conj ((cP x15) x13)) ((cP Xx) x15)) x14) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15))))
% 6.13/6.31 Found (ex_intro000 (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x15) Xz)) ((cP Xx) x15)))) x13) ((((conj ((cP x15) x13)) ((cP Xx) x15)) x14) x8))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.31 Found ((ex_intro00 x7) (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (((ex_intro0 (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (fun (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (fun (x13:fofType) (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))) as proof of (((cP Xx4) x13)->((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))))
% 6.13/6.32 Found (fun (x13:fofType) (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))) as proof of (forall (x:fofType), (((cP Xx4) x)->((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))))
% 6.13/6.32 Found (ex_ind40 (fun (x13:fofType) (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found ((ex_ind4 ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (((fun (P:Prop) (x13:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x13) x12)) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP Xx4) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (fun (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found (fun (x10:fofType) (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))))) as proof of (((cP Xx3) x10)->((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))))
% 6.13/6.32 Found (fun (x10:fofType) (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8)))))) as proof of (forall (x:fofType), (((cP Xx3) x)->((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))))
% 6.13/6.32 Found (ex_ind30 (fun (x10:fofType) (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.13/6.32 Found ((ex_ind3 ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x10:fofType) (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.54/6.78 Found (((fun (P:Prop) (x10:(forall (x:fofType), (((cP Xx3) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx3) Xy))) P) x10) x9)) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x10:fofType) (x11:((cP Xx3) x10))=> (((fun (P:Prop) (x13:(forall (x0:fofType), (((cP x7) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x7) Xy))) P) x13) (x x7))) ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))) (fun (x13:fofType) (x14:((cP x7) x13))=> ((((ex_intro fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy)))))) x7) ((((ex_intro fofType) (fun (Xz:fofType)=> ((and ((cP x7) Xz)) ((cP Xx) x7)))) x13) ((((conj ((cP x7) x13)) ((cP Xx) x7)) x14) x8))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((ex fofType) (fun (Xz:fofType)=> ((and ((cP Xy) Xz)) ((cP Xx) Xy))))))
% 6.54/6.78 Found x8:((cP Xx2) x7)
% 6.54/6.78 Instantiate: Xx2:=Xx:fofType;x9:=x7:fofType
% 6.54/6.78 Found x8 as proof of ((cP Xx) x9)
% 6.54/6.78 Found x8:((cP Xx2) x7)
% 6.54/6.78 Instantiate: x9:=Xx2:fofType;x16:=x7:fofType
% 6.54/6.78 Found x8 as proof of ((cP x9) x16)
% 6.54/6.78 Found x2:((cP Xx0) x1)
% 6.54/6.78 Instantiate: Xx0:=x7:fofType;x16:=x1:fofType
% 6.54/6.78 Found x2 as proof of ((cP x9) x16)
% 6.54/6.78 Found ((conj00 x2) x8) as proof of ((and ((cP x9) x16)) ((cP Xx) x9))
% 6.54/6.78 Found (((conj0 ((cP Xx) x9)) x2) x8) as proof of ((and ((cP x9) x16)) ((cP Xx) x9))
% 6.54/6.78 Found ((((conj ((cP x9) x16)) ((cP Xx) x9)) x2) x8) as proof of ((and ((cP x9) x16)) ((cP Xx) x9))
% 6.54/6.78 Found ((((conj ((cP x9) x16)) ((cP Xx) x9)) x2) x8) as proof of ((and ((cP x9) x16)) ((cP Xx) x9))
% 6.54/6.78 Found (ex_intro010 ((((conj ((cP x9) x16)) ((cP Xx) x9)) x2) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found ((ex_intro01 x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found (fun (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8))) as proof of (((cP Xx4) x14)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))))
% 6.54/6.78 Found (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8))) as proof of (forall (x:fofType), (((cP Xx4) x)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))))
% 6.54/6.78 Found (ex_ind40 (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found ((ex_ind4 ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))) (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found (((fun (P:Prop) (x14:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x14) x13)) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))) (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9)))) x1) ((((conj ((cP x9) x1)) ((cP Xx) x9)) x2) x8)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x9) Xz)) ((cP Xx) x9))))
% 6.54/6.78 Found x12:((cP Xx3) x11)
% 6.54/6.78 Instantiate: Xx3:=x15:fofType;x13:=x11:fofType
% 6.54/6.78 Found x12 as proof of ((cP x9) x13)
% 6.62/6.86 Found (conj00 x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found ((conj0 ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found x12:((cP Xx3) x11)
% 6.62/6.86 Instantiate: Xx3:=x15:fofType;x13:=x11:fofType
% 6.62/6.86 Found x12 as proof of ((cP x9) x13)
% 6.62/6.86 Found (conj00 x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found ((conj0 ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (((conj ((cP x9) x13)) ((cP Xx4) x15)) x12) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found x8:((cP Xx2) x7)
% 6.62/6.86 Instantiate: Xx2:=Xx:fofType;x9:=x7:fofType
% 6.62/6.86 Found x8 as proof of ((cP Xx) x9)
% 6.62/6.86 Found x8:((cP Xx2) x7)
% 6.62/6.86 Instantiate: x13:=x7:fofType;x9:=Xx2:fofType
% 6.62/6.86 Found x8 as proof of ((cP x9) x13)
% 6.62/6.86 Found x2:((cP Xx0) x1)
% 6.62/6.86 Instantiate: x13:=x1:fofType;Xx0:=x7:fofType
% 6.62/6.86 Found x2 as proof of ((cP x9) x13)
% 6.62/6.86 Found ((conj00 x2) x8) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found (((conj0 ((cP Xx) x9)) x2) x8) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found (fun (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8)) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8)) as proof of (((cP Xx4) x15)->((and ((cP x9) x13)) ((cP Xx) x9)))
% 6.62/6.86 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8)) as proof of (forall (x:fofType), (((cP Xx4) x)->((and ((cP x9) x13)) ((cP Xx) x9))))
% 6.62/6.86 Found (ex_ind40 (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8))) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found ((ex_ind4 ((and ((cP x9) x13)) ((cP Xx) x9))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8))) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found (((fun (P:Prop) (x15:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x15) x14)) ((and ((cP x9) x13)) ((cP Xx) x9))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x9) x13)) ((cP Xx) x9)) x2) x8))) as proof of ((and ((cP x9) x13)) ((cP Xx) x9))
% 6.62/6.86 Found x2:((cP Xx0) x1)
% 6.62/6.86 Instantiate: Xx0:=Xx:fofType;x6:=x1:fofType
% 6.62/6.86 Found x2 as proof of ((cP Xx) x6)
% 6.62/6.86 Found x2:((cP Xx0) x1)
% 6.62/6.86 Instantiate: x6:=Xx0:fofType;x16:=x1:fofType
% 6.62/6.86 Found x2 as proof of ((cP x6) x16)
% 6.62/6.86 Found x15:((cP Xx4) x14)
% 6.62/6.86 Instantiate: x16:=x14:fofType;Xx4:=x1:fofType
% 6.62/6.86 Found x15 as proof of ((cP x6) x16)
% 6.62/6.86 Found ((conj00 x15) x2) as proof of ((and ((cP x6) x16)) ((cP Xx) x6))
% 6.62/6.86 Found (((conj0 ((cP Xx) x6)) x15) x2) as proof of ((and ((cP x6) x16)) ((cP Xx) x6))
% 6.62/6.86 Found ((((conj ((cP x6) x16)) ((cP Xx) x6)) x15) x2) as proof of ((and ((cP x6) x16)) ((cP Xx) x6))
% 6.62/6.86 Found ((((conj ((cP x6) x16)) ((cP Xx) x6)) x15) x2) as proof of ((and ((cP x6) x16)) ((cP Xx) x6))
% 6.62/6.86 Found (ex_intro010 ((((conj ((cP x6) x16)) ((cP Xx) x6)) x15) x2)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.86 Found ((ex_intro01 x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.86 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.86 Found (fun (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))) as proof of (((cP Xx4) x14)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))))
% 6.62/6.87 Found (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))) as proof of (forall (x:fofType), (((cP Xx4) x)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))))
% 6.62/6.87 Found (ex_ind40 (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found ((ex_ind4 ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found (((fun (P:Prop) (x14:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x14) x13)) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP Xx4) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found (fun (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.62/6.87 Found (fun (x11:fofType) (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))))) as proof of (((cP Xx3) x11)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))))
% 6.62/6.87 Found (fun (x11:fofType) (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2))))) as proof of (forall (x:fofType), (((cP Xx3) x)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))))
% 6.62/6.87 Found (ex_ind30 (fun (x11:fofType) (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.92/7.17 Found ((ex_ind3 ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x11:fofType) (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.92/7.17 Found (((fun (P:Prop) (x11:(forall (x:fofType), (((cP Xx3) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx3) Xy))) P) x11) x10)) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x11:fofType) (x12:((cP Xx3) x11))=> (((fun (P:Prop) (x14:(forall (x0:fofType), (((cP x1) x0)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP x1) Xy))) P) x14) (x x1))) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))) (fun (x14:fofType) (x15:((cP x1) x14))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6)))) x14) ((((conj ((cP x6) x14)) ((cP Xx) x6)) x15) x2)))))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x6) Xz)) ((cP Xx) x6))))
% 6.92/7.17 Found x13:((cP Xx3) x12)
% 6.92/7.17 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 6.92/7.17 Found x13 as proof of ((cP x9) x10)
% 6.92/7.17 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found x13:((cP Xx3) x12)
% 6.92/7.17 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 6.92/7.17 Found x13 as proof of ((cP x9) x10)
% 6.92/7.17 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found (((conj ((cP x9) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 6.92/7.17 Found x8:((cP Xx2) x7)
% 6.92/7.17 Instantiate: x10:=x7:fofType;x9:=Xx2:fofType
% 6.92/7.17 Found x8 as proof of ((cP x9) x10)
% 6.92/7.17 Found x8:((cP Xx2) x7)
% 6.92/7.17 Instantiate: Xx2:=Xx:fofType;x9:=x7:fofType
% 6.92/7.17 Found x8 as proof of ((cP Xx) x9)
% 6.92/7.17 Found x6:((cP Xx1) x5)
% 6.92/7.17 Instantiate: x3:=Xx1:fofType;x16:=x5:fofType
% 6.92/7.17 Found x6 as proof of ((cP x3) x16)
% 6.92/7.17 Found x6:((cP Xx1) x5)
% 6.92/7.17 Instantiate: x3:=x5:fofType;Xx1:=Xx:fofType
% 6.92/7.17 Found x6 as proof of ((cP Xx) x3)
% 6.92/7.17 Found x13:((cP Xx3) x12)
% 6.92/7.17 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 6.92/7.17 Found x13 as proof of ((cP x6) x10)
% 6.92/7.17 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found x13:((cP Xx3) x12)
% 6.92/7.17 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 6.92/7.17 Found x13 as proof of ((cP x6) x10)
% 6.92/7.17 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 6.92/7.17 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: Xx3:=Xx:fofType;x6:=x12:fofType
% 7.15/7.32 Found x13 as proof of ((cP Xx) x6)
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: x10:=x12:fofType;x6:=Xx3:fofType
% 7.15/7.32 Found x13 as proof of ((cP x6) x10)
% 7.15/7.32 Found x2:((cP Xx0) x1)
% 7.15/7.32 Instantiate: x10:=x1:fofType;Xx0:=x12:fofType
% 7.15/7.32 Found x2 as proof of ((cP x6) x10)
% 7.15/7.32 Found ((conj00 x2) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found (((conj0 ((cP Xx) x6)) x2) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found (fun (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13)) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13)) as proof of (((cP Xx4) x15)->((and ((cP x6) x10)) ((cP Xx) x6)))
% 7.15/7.32 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13)) as proof of (forall (x:fofType), (((cP Xx4) x)->((and ((cP x6) x10)) ((cP Xx) x6))))
% 7.15/7.32 Found (ex_ind40 (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13))) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found ((ex_ind4 ((and ((cP x6) x10)) ((cP Xx) x6))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13))) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found (((fun (P:Prop) (x15:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x15) x14)) ((and ((cP x6) x10)) ((cP Xx) x6))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x10)) ((cP Xx) x6)) x2) x13))) as proof of ((and ((cP x6) x10)) ((cP Xx) x6))
% 7.15/7.32 Found x3:((cP Xx0) x2)
% 7.15/7.32 Instantiate: x0:=Xx0:fofType;x16:=x2:fofType
% 7.15/7.32 Found x3 as proof of ((cP x0) x16)
% 7.15/7.32 Found x3:((cP Xx0) x2)
% 7.15/7.32 Instantiate: x0:=x2:fofType;Xx0:=Xx:fofType
% 7.15/7.32 Found x3 as proof of ((cP Xx) x0)
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: Xx3:=x15:fofType;x7:=x12:fofType
% 7.15/7.32 Found x13 as proof of ((cP x6) x7)
% 7.15/7.32 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: Xx3:=x15:fofType;x7:=x12:fofType
% 7.15/7.32 Found x13 as proof of ((cP x6) x7)
% 7.15/7.32 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found (((conj ((cP x6) x7)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: Xx3:=Xx:fofType;x6:=x12:fofType
% 7.15/7.32 Found x13 as proof of ((cP Xx) x6)
% 7.15/7.32 Found x13:((cP Xx3) x12)
% 7.15/7.32 Instantiate: x6:=Xx3:fofType;x7:=x12:fofType
% 7.15/7.32 Found x13 as proof of ((cP x6) x7)
% 7.15/7.32 Found x10:((cP Xx2) x9)
% 7.15/7.32 Instantiate: Xx2:=x12:fofType;x7:=x9:fofType
% 7.15/7.32 Found x10 as proof of ((cP x6) x7)
% 7.15/7.32 Found ((conj00 x10) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.15/7.32 Found (((conj0 ((cP Xx) x6)) x10) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.15/7.32 Found ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.22/7.43 Found (fun (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13)) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.22/7.43 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13)) as proof of (((cP Xx4) x15)->((and ((cP x6) x7)) ((cP Xx) x6)))
% 7.22/7.43 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13)) as proof of (forall (x:fofType), (((cP Xx4) x)->((and ((cP x6) x7)) ((cP Xx) x6))))
% 7.22/7.43 Found (ex_ind40 (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13))) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.22/7.43 Found ((ex_ind4 ((and ((cP x6) x7)) ((cP Xx) x6))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13))) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.22/7.43 Found (((fun (P:Prop) (x15:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x15) x14)) ((and ((cP x6) x7)) ((cP Xx) x6))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x6) x7)) ((cP Xx) x6)) x10) x13))) as proof of ((and ((cP x6) x7)) ((cP Xx) x6))
% 7.22/7.43 Found x13:((cP Xx3) x12)
% 7.22/7.43 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 7.22/7.43 Found x13 as proof of ((cP x3) x10)
% 7.22/7.43 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found x13:((cP Xx3) x12)
% 7.22/7.43 Instantiate: Xx3:=x15:fofType;x10:=x12:fofType
% 7.22/7.43 Found x13 as proof of ((cP x3) x10)
% 7.22/7.43 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found (((conj ((cP x3) x10)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 7.22/7.43 Found x13:((cP Xx3) x12)
% 7.22/7.43 Instantiate: x10:=x12:fofType;x3:=Xx3:fofType
% 7.22/7.43 Found x13 as proof of ((cP x3) x10)
% 7.22/7.43 Found x13:((cP Xx3) x12)
% 7.22/7.43 Instantiate: Xx3:=Xx:fofType;x3:=x12:fofType
% 7.22/7.43 Found x13 as proof of ((cP Xx) x3)
% 7.22/7.43 Found x3:((cP Xx0) x2)
% 7.22/7.43 Instantiate: x13:=x2:fofType;Xx0:=x15:fofType
% 7.22/7.43 Found x3 as proof of ((cP x0) x13)
% 7.22/7.43 Found (conj00 x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found ((conj0 ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found x3:((cP Xx0) x2)
% 7.22/7.43 Instantiate: x13:=x2:fofType;Xx0:=x15:fofType
% 7.22/7.43 Found x3 as proof of ((cP x0) x13)
% 7.22/7.43 Found (conj00 x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found ((conj0 ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found (((conj ((cP x0) x13)) ((cP Xx4) x15)) x3) as proof of (((cP Xx4) x15)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 7.22/7.43 Found x3:((cP Xx0) x2)
% 7.22/7.43 Instantiate: x0:=Xx0:fofType;x13:=x2:fofType
% 7.22/7.43 Found x3 as proof of ((cP x0) x13)
% 7.22/7.43 Found x3:((cP Xx0) x2)
% 7.22/7.43 Instantiate: x0:=x2:fofType;Xx0:=Xx:fofType
% 7.22/7.43 Found x3 as proof of ((cP Xx) x0)
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: Xx3:=x15:fofType;x4:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP x3) x4)
% 7.66/7.87 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: Xx3:=x15:fofType;x4:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP x3) x4)
% 7.66/7.87 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (((conj ((cP x3) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: Xx3:=Xx:fofType;x3:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP Xx) x3)
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: x3:=Xx3:fofType;x4:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP x3) x4)
% 7.66/7.87 Found x7:((cP Xx1) x6)
% 7.66/7.87 Instantiate: Xx1:=x12:fofType;x4:=x6:fofType
% 7.66/7.87 Found x7 as proof of ((cP x3) x4)
% 7.66/7.87 Found ((conj00 x7) x13) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found (((conj0 ((cP Xx) x3)) x7) x13) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found (fun (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13)) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13)) as proof of (((cP Xx4) x15)->((and ((cP x3) x4)) ((cP Xx) x3)))
% 7.66/7.87 Found (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13)) as proof of (forall (x:fofType), (((cP Xx4) x)->((and ((cP x3) x4)) ((cP Xx) x3))))
% 7.66/7.87 Found (ex_ind40 (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13))) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found ((ex_ind4 ((and ((cP x3) x4)) ((cP Xx) x3))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13))) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found (((fun (P:Prop) (x15:(forall (x:fofType), (((cP Xx4) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx4) Xy))) P) x15) x14)) ((and ((cP x3) x4)) ((cP Xx) x3))) (fun (x15:fofType) (x16:((cP Xx4) x15))=> ((((conj ((cP x3) x4)) ((cP Xx) x3)) x7) x13))) as proof of ((and ((cP x3) x4)) ((cP Xx) x3))
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: Xx3:=x15:fofType;x4:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP x0) x4)
% 7.66/7.87 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found x13:((cP Xx3) x12)
% 7.66/7.87 Instantiate: Xx3:=x15:fofType;x4:=x12:fofType
% 7.66/7.87 Found x13 as proof of ((cP x0) x4)
% 7.66/7.87 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 7.66/7.87 Found (((conj ((cP x0) x4)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 9.73/9.95 Found x13:((cP Xx3) x12)
% 9.73/9.95 Instantiate: x0:=Xx3:fofType;x4:=x12:fofType
% 9.73/9.95 Found x13 as proof of ((cP x0) x4)
% 9.73/9.95 Found x13:((cP Xx3) x12)
% 9.73/9.95 Instantiate: Xx3:=Xx:fofType;x0:=x12:fofType
% 9.73/9.95 Found x13 as proof of ((cP Xx) x0)
% 9.73/9.95 Found x13:((cP Xx3) x12)
% 9.73/9.95 Instantiate: Xx3:=x15:fofType;x1:=x12:fofType
% 9.73/9.95 Found x13 as proof of ((cP x0) x1)
% 9.73/9.95 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found x13:((cP Xx3) x12)
% 9.73/9.95 Instantiate: Xx3:=x15:fofType;x1:=x12:fofType
% 9.73/9.95 Found x13 as proof of ((cP x0) x1)
% 9.73/9.95 Found (conj00 x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found ((conj0 ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found (((conj ((cP x0) x1)) ((cP Xx4) x15)) x13) as proof of (((cP Xx4) x15)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 9.73/9.95 Found x4:((cP Xx0) x3)
% 9.73/9.95 Instantiate: x0:=Xx0:fofType;x1:=x3:fofType
% 9.73/9.95 Found x4 as proof of ((cP x0) x1)
% 9.73/9.95 Found x4:((cP Xx0) x3)
% 9.73/9.95 Instantiate: x0:=x3:fofType;Xx0:=Xx:fofType
% 9.73/9.95 Found x4 as proof of ((cP Xx) x0)
% 9.73/9.95 Found x15:((cP Xx4) x14)
% 9.73/9.95 Instantiate: x3:=Xx4:fofType;x19:=x14:fofType
% 9.73/9.95 Found x15 as proof of ((cP x3) x19)
% 9.73/9.95 Found x15:((cP Xx4) x14)
% 9.73/9.95 Instantiate: x3:=x14:fofType;Xx4:=Xx:fofType
% 9.73/9.95 Found x15 as proof of ((cP Xx) x3)
% 9.73/9.95 Found x5:((cP Xx1) x4)
% 9.73/9.95 Instantiate: x10:=x4:fofType;Xx1:=x18:fofType
% 9.73/9.95 Found x5 as proof of ((cP x9) x10)
% 9.73/9.95 Found (conj00 x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found ((conj0 ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found x5:((cP Xx1) x4)
% 9.73/9.95 Instantiate: x10:=x4:fofType;Xx1:=x18:fofType
% 9.73/9.95 Found x5 as proof of ((cP x9) x10)
% 9.73/9.95 Found (conj00 x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found ((conj0 ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found (((conj ((cP x9) x10)) ((cP Xx5) x18)) x5) as proof of (((cP Xx5) x18)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 9.73/9.95 Found x19:((cP Xx5) x18)
% 9.73/9.95 Instantiate: x10:=x18:fofType;x9:=Xx5:fofType
% 9.73/9.95 Found x19 as proof of ((cP x9) x10)
% 9.73/9.95 Found x19:((cP Xx5) x18)
% 9.73/9.95 Instantiate: x9:=x18:fofType;Xx5:=Xx:fofType
% 9.73/9.95 Found x19 as proof of ((cP Xx) x9)
% 9.73/9.95 Found x6:((cP Xx1) x5)
% 9.73/9.95 Instantiate: Xx1:=x18:fofType;x16:=x5:fofType
% 9.73/9.95 Found x6 as proof of ((cP x3) x16)
% 9.73/9.95 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.73/9.95 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.73/9.95 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.73/9.95 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.73/9.95 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.73/9.95 Found x6:((cP Xx1) x5)
% 9.83/10.03 Instantiate: Xx1:=x18:fofType;x16:=x5:fofType
% 9.83/10.03 Found x6 as proof of ((cP x3) x16)
% 9.83/10.03 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found (((conj ((cP x3) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found x15:((cP Xx4) x14)
% 9.83/10.03 Instantiate: x3:=x14:fofType;Xx4:=Xx:fofType
% 9.83/10.03 Found x15 as proof of ((cP Xx) x3)
% 9.83/10.03 Found x15:((cP Xx4) x14)
% 9.83/10.03 Instantiate: x3:=Xx4:fofType;x16:=x14:fofType
% 9.83/10.03 Found x15 as proof of ((cP x3) x16)
% 9.83/10.03 Found x6:((cP Xx1) x5)
% 9.83/10.03 Instantiate: Xx1:=x14:fofType;x16:=x5:fofType
% 9.83/10.03 Found x6 as proof of ((cP x3) x16)
% 9.83/10.03 Found ((conj00 x6) x15) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found (((conj0 ((cP Xx) x3)) x6) x15) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found (fun (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15)) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15)) as proof of (((cP Xx5) x18)->((and ((cP x3) x16)) ((cP Xx) x3)))
% 9.83/10.03 Found (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15)) as proof of (forall (x:fofType), (((cP Xx5) x)->((and ((cP x3) x16)) ((cP Xx) x3))))
% 9.83/10.03 Found (ex_ind50 (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15))) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found ((ex_ind5 ((and ((cP x3) x16)) ((cP Xx) x3))) (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15))) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found (((fun (P:Prop) (x18:(forall (x:fofType), (((cP Xx5) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx5) Xy))) P) x18) x17)) ((and ((cP x3) x16)) ((cP Xx) x3))) (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x16)) ((cP Xx) x3)) x6) x15))) as proof of ((and ((cP x3) x16)) ((cP Xx) x3))
% 9.83/10.03 Found x15:((cP Xx4) x14)
% 9.83/10.03 Instantiate: x0:=x14:fofType;Xx4:=Xx:fofType
% 9.83/10.03 Found x15 as proof of ((cP Xx) x0)
% 9.83/10.03 Found x15:((cP Xx4) x14)
% 9.83/10.03 Instantiate: x19:=x14:fofType;x0:=Xx4:fofType
% 9.83/10.03 Found x15 as proof of ((cP x0) x19)
% 9.83/10.03 Found x6:((cP Xx1) x5)
% 9.83/10.03 Instantiate: x19:=x5:fofType;Xx1:=x14:fofType
% 9.83/10.03 Found x6 as proof of ((cP x0) x19)
% 9.83/10.03 Found ((conj00 x6) x15) as proof of ((and ((cP x0) x19)) ((cP Xx) x0))
% 9.83/10.03 Found (((conj0 ((cP Xx) x0)) x6) x15) as proof of ((and ((cP x0) x19)) ((cP Xx) x0))
% 9.83/10.03 Found ((((conj ((cP x0) x19)) ((cP Xx) x0)) x6) x15) as proof of ((and ((cP x0) x19)) ((cP Xx) x0))
% 9.83/10.03 Found ((((conj ((cP x0) x19)) ((cP Xx) x0)) x6) x15) as proof of ((and ((cP x0) x19)) ((cP Xx) x0))
% 9.83/10.03 Found (ex_intro010 ((((conj ((cP x0) x19)) ((cP Xx) x0)) x6) x15)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.83/10.03 Found ((ex_intro01 x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.83/10.03 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.83/10.03 Found (fun (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.83/10.03 Found (fun (x17:fofType) (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15))) as proof of (((cP Xx5) x17)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))))
% 9.83/10.03 Found (fun (x17:fofType) (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15))) as proof of (forall (x:fofType), (((cP Xx5) x)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))))
% 9.93/10.18 Found (ex_ind50 (fun (x17:fofType) (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.93/10.18 Found ((ex_ind5 ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))) (fun (x17:fofType) (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.93/10.18 Found (((fun (P:Prop) (x17:(forall (x:fofType), (((cP Xx5) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx5) Xy))) P) x17) x16)) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))) (fun (x17:fofType) (x18:((cP Xx5) x17))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0)))) x5) ((((conj ((cP x0) x5)) ((cP Xx) x0)) x6) x15)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x0) Xz)) ((cP Xx) x0))))
% 9.93/10.18 Found x6:((cP Xx1) x5)
% 9.93/10.18 Instantiate: Xx1:=x18:fofType;x16:=x5:fofType
% 9.93/10.18 Found x6 as proof of ((cP x0) x16)
% 9.93/10.18 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found x6:((cP Xx1) x5)
% 9.93/10.18 Instantiate: Xx1:=x18:fofType;x16:=x5:fofType
% 9.93/10.18 Found x6 as proof of ((cP x0) x16)
% 9.93/10.18 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (((conj ((cP x0) x16)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found x15:((cP Xx4) x14)
% 9.93/10.18 Instantiate: x0:=x14:fofType;Xx4:=Xx:fofType
% 9.93/10.18 Found x15 as proof of ((cP Xx) x0)
% 9.93/10.18 Found x15:((cP Xx4) x14)
% 9.93/10.18 Instantiate: x0:=Xx4:fofType;x16:=x14:fofType
% 9.93/10.18 Found x15 as proof of ((cP x0) x16)
% 9.93/10.18 Found x6:((cP Xx1) x5)
% 9.93/10.18 Instantiate: Xx1:=x14:fofType;x16:=x5:fofType
% 9.93/10.18 Found x6 as proof of ((cP x0) x16)
% 9.93/10.18 Found ((conj00 x6) x15) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found (((conj0 ((cP Xx) x0)) x6) x15) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found (fun (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15)) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15)) as proof of (((cP Xx5) x18)->((and ((cP x0) x16)) ((cP Xx) x0)))
% 9.93/10.18 Found (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15)) as proof of (forall (x:fofType), (((cP Xx5) x)->((and ((cP x0) x16)) ((cP Xx) x0))))
% 9.93/10.18 Found (ex_ind50 (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15))) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found ((ex_ind5 ((and ((cP x0) x16)) ((cP Xx) x0))) (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15))) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 9.93/10.18 Found (((fun (P:Prop) (x18:(forall (x:fofType), (((cP Xx5) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx5) Xy))) P) x18) x17)) ((and ((cP x0) x16)) ((cP Xx) x0))) (fun (x18:fofType) (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x16)) ((cP Xx) x0)) x6) x15))) as proof of ((and ((cP x0) x16)) ((cP Xx) x0))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: x10:=x5:fofType;Xx1:=x18:fofType
% 10.66/10.88 Found x6 as proof of ((cP x3) x10)
% 10.66/10.88 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: x10:=x5:fofType;Xx1:=x18:fofType
% 10.66/10.88 Found x6 as proof of ((cP x3) x10)
% 10.66/10.88 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found (((conj ((cP x3) x10)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: x3:=x5:fofType;Xx1:=Xx:fofType
% 10.66/10.88 Found x6 as proof of ((cP Xx) x3)
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: x10:=x5:fofType;x3:=Xx1:fofType
% 10.66/10.88 Found x6 as proof of ((cP x3) x10)
% 10.66/10.88 Found x19:((cP Xx5) x18)
% 10.66/10.88 Instantiate: x10:=x18:fofType;Xx5:=x5:fofType
% 10.66/10.88 Found x19 as proof of ((cP x3) x10)
% 10.66/10.88 Found ((conj00 x19) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 10.66/10.88 Found (((conj0 ((cP Xx) x3)) x19) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 10.66/10.88 Found ((((conj ((cP x3) x10)) ((cP Xx) x3)) x19) x6) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 10.66/10.88 Found (fun (x19:((cP Xx5) x18))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x19) x6)) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: Xx1:=x18:fofType;x13:=x5:fofType
% 10.66/10.88 Found x6 as proof of ((cP x0) x13)
% 10.66/10.88 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: Xx1:=x18:fofType;x13:=x5:fofType
% 10.66/10.88 Found x6 as proof of ((cP x0) x13)
% 10.66/10.88 Found (conj00 x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found ((conj0 ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found (((conj ((cP x0) x13)) ((cP Xx5) x18)) x6) as proof of (((cP Xx5) x18)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: Xx1:=Xx:fofType;x0:=x5:fofType
% 10.66/10.88 Found x6 as proof of ((cP Xx) x0)
% 10.66/10.88 Found x6:((cP Xx1) x5)
% 10.66/10.88 Instantiate: x0:=Xx1:fofType;x13:=x5:fofType
% 10.66/10.88 Found x6 as proof of ((cP x0) x13)
% 10.66/10.88 Found x19:((cP Xx5) x18)
% 10.66/10.88 Instantiate: x13:=x18:fofType;Xx5:=x5:fofType
% 10.66/10.88 Found x19 as proof of ((cP x0) x13)
% 10.66/10.88 Found ((conj00 x19) x6) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 10.66/10.88 Found (((conj0 ((cP Xx) x0)) x19) x6) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 10.66/10.88 Found ((((conj ((cP x0) x13)) ((cP Xx) x0)) x19) x6) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 10.66/10.88 Found (fun (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x19) x6)) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 10.66/10.88 Found x13:((cP Xx3) x12)
% 10.66/10.88 Instantiate: Xx3:=x18:fofType;x4:=x12:fofType
% 10.66/10.88 Found x13 as proof of ((cP x0) x4)
% 13.04/13.23 Found (conj00 x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found ((conj0 ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found x13:((cP Xx3) x12)
% 13.04/13.23 Instantiate: Xx3:=x18:fofType;x4:=x12:fofType
% 13.04/13.23 Found x13 as proof of ((cP x0) x4)
% 13.04/13.23 Found (conj00 x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found ((conj0 ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x4)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 13.04/13.23 Found x10:((cP Xx2) x9)
% 13.04/13.23 Instantiate: Xx2:=Xx:fofType;x0:=x9:fofType
% 13.04/13.23 Found x10 as proof of ((cP Xx) x0)
% 13.04/13.23 Found x10:((cP Xx2) x9)
% 13.04/13.23 Instantiate: x0:=Xx2:fofType;x4:=x9:fofType
% 13.04/13.23 Found x10 as proof of ((cP x0) x4)
% 13.04/13.23 Found x19:((cP Xx5) x18)
% 13.04/13.23 Instantiate: x4:=x18:fofType;Xx5:=x9:fofType
% 13.04/13.23 Found x19 as proof of ((cP x0) x4)
% 13.04/13.23 Found ((conj00 x19) x10) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 13.04/13.23 Found (((conj0 ((cP Xx) x0)) x19) x10) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 13.04/13.23 Found ((((conj ((cP x0) x4)) ((cP Xx) x0)) x19) x10) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 13.04/13.23 Found (fun (x19:((cP Xx5) x18))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x19) x10)) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 13.04/13.23 Found x13:((cP Xx3) x12)
% 13.04/13.23 Instantiate: Xx3:=x18:fofType;x1:=x12:fofType
% 13.04/13.23 Found x13 as proof of ((cP x0) x1)
% 13.04/13.23 Found (conj00 x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found ((conj0 ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found x13:((cP Xx3) x12)
% 13.04/13.23 Instantiate: Xx3:=x18:fofType;x1:=x12:fofType
% 13.04/13.23 Found x13 as proof of ((cP x0) x1)
% 13.04/13.23 Found (conj00 x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found ((conj0 ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found (((conj ((cP x0) x1)) ((cP Xx5) x18)) x13) as proof of (((cP Xx5) x18)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 13.04/13.23 Found x10:((cP Xx2) x9)
% 13.04/13.23 Instantiate: x0:=Xx2:fofType;x1:=x9:fofType
% 13.04/13.23 Found x10 as proof of ((cP x0) x1)
% 13.04/13.23 Found x10:((cP Xx2) x9)
% 13.04/13.23 Instantiate: Xx2:=Xx:fofType;x0:=x9:fofType
% 13.04/13.23 Found x10 as proof of ((cP Xx) x0)
% 13.04/13.23 Found x2:((cP Xx0) x1)
% 13.04/13.23 Instantiate: x3:=Xx0:fofType;x22:=x1:fofType
% 13.04/13.23 Found x2 as proof of ((cP x3) x22)
% 13.04/13.23 Found x2:((cP Xx0) x1)
% 13.04/13.23 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 13.04/13.23 Found x2 as proof of ((cP Xx) x3)
% 13.04/13.23 Found x2:((cP Xx0) x1)
% 13.04/13.23 Instantiate: x3:=Xx0:fofType;x19:=x1:fofType
% 13.04/13.23 Found x2 as proof of ((cP x3) x19)
% 13.04/13.23 Found x2:((cP Xx0) x1)
% 13.04/13.23 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 13.04/13.23 Found x2 as proof of ((cP Xx) x3)
% 13.04/13.23 Found x2:((cP Xx0) x1)
% 13.04/13.23 Instantiate: x19:=x1:fofType;Xx0:=x21:fofType
% 13.04/13.23 Found x2 as proof of ((cP x3) x19)
% 13.04/13.23 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.04/13.23 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.04/13.23 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x19:=x1:fofType;Xx0:=x21:fofType
% 13.65/13.88 Found x2 as proof of ((cP x3) x19)
% 13.65/13.88 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x19)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 13.65/13.88 Found x5:((cP Xx1) x4)
% 13.65/13.88 Instantiate: x10:=x4:fofType;x9:=Xx1:fofType
% 13.65/13.88 Found x5 as proof of ((cP x9) x10)
% 13.65/13.88 Found x5:((cP Xx1) x4)
% 13.65/13.88 Instantiate: Xx1:=Xx:fofType;x9:=x4:fofType
% 13.65/13.88 Found x5 as proof of ((cP Xx) x9)
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x10:=x1:fofType;Xx0:=x21:fofType
% 13.65/13.88 Found x2 as proof of ((cP x9) x10)
% 13.65/13.88 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x10:=x1:fofType;Xx0:=x21:fofType
% 13.65/13.88 Found x2 as proof of ((cP x9) x10)
% 13.65/13.88 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found (((conj ((cP x9) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x10:=x1:fofType;x3:=Xx0:fofType
% 13.65/13.88 Found x2 as proof of ((cP x3) x10)
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x3:=x1:fofType;Xx0:=Xx:fofType
% 13.65/13.88 Found x2 as proof of ((cP Xx) x3)
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x10:=x1:fofType;Xx0:=x21:fofType
% 13.65/13.88 Found x2 as proof of ((cP x3) x10)
% 13.65/13.88 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found x2:((cP Xx0) x1)
% 13.65/13.88 Instantiate: x10:=x1:fofType;Xx0:=x21:fofType
% 13.65/13.88 Found x2 as proof of ((cP x3) x10)
% 13.65/13.88 Found (conj00 x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found ((conj0 ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found (((conj ((cP x3) x10)) ((cP Xx6) x21)) x2) as proof of (((cP Xx6) x21)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 13.65/13.88 Found x22:((cP Xx6) x21)
% 13.65/13.88 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 13.65/13.88 Found x22 as proof of ((cP Xx) x0)
% 13.65/13.88 Found x22:((cP Xx6) x21)
% 13.65/13.88 Instantiate: x0:=Xx6:fofType;x13:=x21:fofType
% 13.65/13.88 Found x22 as proof of ((cP x0) x13)
% 13.65/13.88 Found x6:((cP Xx1) x5)
% 13.65/13.88 Instantiate: Xx1:=x21:fofType;x13:=x5:fofType
% 13.65/13.88 Found x6 as proof of ((cP x0) x13)
% 14.56/14.75 Found ((conj00 x6) x22) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 14.56/14.75 Found (((conj0 ((cP Xx) x0)) x6) x22) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 14.56/14.75 Found ((((conj ((cP x0) x13)) ((cP Xx) x0)) x6) x22) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 14.56/14.75 Found (fun (x22:((cP Xx6) x21))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x6) x22)) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 14.56/14.75 Found x3:((cP Xx0) x2)
% 14.56/14.75 Instantiate: x13:=x2:fofType;Xx0:=x21:fofType
% 14.56/14.75 Found x3 as proof of ((cP x0) x13)
% 14.56/14.75 Found (conj00 x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found ((conj0 ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found x3:((cP Xx0) x2)
% 14.56/14.75 Instantiate: x13:=x2:fofType;Xx0:=x21:fofType
% 14.56/14.75 Found x3 as proof of ((cP x0) x13)
% 14.56/14.75 Found (conj00 x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found ((conj0 ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x13)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 14.56/14.75 Found x22:((cP Xx6) x21)
% 14.56/14.75 Instantiate: x0:=Xx6:fofType;x4:=x21:fofType
% 14.56/14.75 Found x22 as proof of ((cP x0) x4)
% 14.56/14.75 Found x22:((cP Xx6) x21)
% 14.56/14.75 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 14.56/14.75 Found x22 as proof of ((cP Xx) x0)
% 14.56/14.75 Found x3:((cP Xx0) x2)
% 14.56/14.75 Instantiate: Xx0:=x21:fofType;x4:=x2:fofType
% 14.56/14.75 Found x3 as proof of ((cP x0) x4)
% 14.56/14.75 Found (conj00 x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found ((conj0 ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found x3:((cP Xx0) x2)
% 14.56/14.75 Instantiate: Xx0:=x21:fofType;x4:=x2:fofType
% 14.56/14.75 Found x3 as proof of ((cP x0) x4)
% 14.56/14.75 Found (conj00 x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found ((conj0 ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found (((conj ((cP x0) x4)) ((cP Xx6) x21)) x3) as proof of (((cP Xx6) x21)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 14.56/14.75 Found x22:((cP Xx6) x21)
% 14.56/14.75 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 14.56/14.75 Found x22 as proof of ((cP Xx) x0)
% 14.56/14.75 Found x22:((cP Xx6) x21)
% 14.56/14.75 Instantiate: x0:=Xx6:fofType;x1:=x21:fofType
% 14.56/14.75 Found x22 as proof of ((cP x0) x1)
% 14.56/14.75 Found x10:((cP Xx2) x9)
% 14.56/14.75 Instantiate: Xx2:=x21:fofType;x1:=x9:fofType
% 14.56/14.75 Found x10 as proof of ((cP x0) x1)
% 14.56/14.75 Found ((conj00 x10) x22) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 14.56/14.75 Found (((conj0 ((cP Xx) x0)) x10) x22) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 14.56/14.75 Found ((((conj ((cP x0) x1)) ((cP Xx) x0)) x10) x22) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 14.56/14.75 Found (fun (x22:((cP Xx6) x21))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x10) x22)) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 14.56/14.75 Found x10:((cP Xx2) x9)
% 14.56/14.75 Instantiate: Xx2:=x21:fofType;x1:=x9:fofType
% 14.56/14.75 Found x10 as proof of ((cP x0) x1)
% 14.56/14.75 Found (conj00 x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 14.56/14.75 Found ((conj0 ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found x10:((cP Xx2) x9)
% 17.53/17.69 Instantiate: Xx2:=x21:fofType;x1:=x9:fofType
% 17.53/17.69 Found x10 as proof of ((cP x0) x1)
% 17.53/17.69 Found (conj00 x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found ((conj0 ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found (((conj ((cP x0) x1)) ((cP Xx6) x21)) x10) as proof of (((cP Xx6) x21)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 17.53/17.69 Found x21:((cP Xx6) x20)
% 17.53/17.69 Instantiate: x25:=x20:fofType;x3:=Xx6:fofType
% 17.53/17.69 Found x21 as proof of ((cP x3) x25)
% 17.53/17.69 Found x21:((cP Xx6) x20)
% 17.53/17.69 Instantiate: x3:=x20:fofType;Xx6:=Xx:fofType
% 17.53/17.69 Found x21 as proof of ((cP Xx) x3)
% 17.53/17.69 Found x21:((cP Xx6) x20)
% 17.53/17.69 Instantiate: x3:=x20:fofType;Xx6:=Xx:fofType
% 17.53/17.69 Found x21 as proof of ((cP Xx) x3)
% 17.53/17.69 Found x21:((cP Xx6) x20)
% 17.53/17.69 Instantiate: x3:=Xx6:fofType;x22:=x20:fofType
% 17.53/17.69 Found x21 as proof of ((cP x3) x22)
% 17.53/17.69 Found x9:((cP Xx2) x8)
% 17.53/17.69 Instantiate: Xx2:=x20:fofType;x22:=x8:fofType
% 17.53/17.69 Found x9 as proof of ((cP x3) x22)
% 17.53/17.69 Found ((conj00 x9) x21) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found (((conj0 ((cP Xx) x3)) x9) x21) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found (fun (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21)) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21)) as proof of (((cP Xx7) x24)->((and ((cP x3) x22)) ((cP Xx) x3)))
% 17.53/17.69 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21)) as proof of (forall (x:fofType), (((cP Xx7) x)->((and ((cP x3) x22)) ((cP Xx) x3))))
% 17.53/17.69 Found (ex_ind70 (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21))) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found ((ex_ind7 ((and ((cP x3) x22)) ((cP Xx) x3))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21))) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found (((fun (P:Prop) (x24:(forall (x:fofType), (((cP Xx7) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx7) Xy))) P) x24) x23)) ((and ((cP x3) x22)) ((cP Xx) x3))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x22)) ((cP Xx) x3)) x9) x21))) as proof of ((and ((cP x3) x22)) ((cP Xx) x3))
% 17.53/17.69 Found x22:((cP Xx6) x21)
% 17.53/17.69 Instantiate: x3:=x21:fofType;Xx6:=Xx:fofType
% 17.53/17.69 Found x22 as proof of ((cP Xx) x3)
% 17.53/17.69 Found x22:((cP Xx6) x21)
% 17.53/17.69 Instantiate: x3:=Xx6:fofType;x19:=x21:fofType
% 17.53/17.69 Found x22 as proof of ((cP x3) x19)
% 17.53/17.69 Found x9:((cP Xx2) x8)
% 17.53/17.69 Instantiate: Xx2:=x21:fofType;x19:=x8:fofType
% 17.53/17.69 Found x9 as proof of ((cP x3) x19)
% 17.53/17.69 Found ((conj00 x9) x22) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 17.53/17.69 Found (((conj0 ((cP Xx) x3)) x9) x22) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 17.53/17.69 Found ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 17.53/17.69 Found (fun (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22)) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 17.53/17.69 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22)) as proof of (((cP Xx7) x24)->((and ((cP x3) x19)) ((cP Xx) x3)))
% 17.53/17.69 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22)) as proof of (forall (x:fofType), (((cP Xx7) x)->((and ((cP x3) x19)) ((cP Xx) x3))))
% 17.53/17.69 Found (ex_ind70 (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22))) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 17.53/17.69 Found ((ex_ind7 ((and ((cP x3) x19)) ((cP Xx) x3))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22))) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 18.53/18.77 Found (((fun (P:Prop) (x24:(forall (x:fofType), (((cP Xx7) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx7) Xy))) P) x24) x23)) ((and ((cP x3) x19)) ((cP Xx) x3))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x3) x19)) ((cP Xx) x3)) x9) x22))) as proof of ((and ((cP x3) x19)) ((cP Xx) x3))
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x10:=x21:fofType;x9:=Xx6:fofType
% 18.53/18.77 Found x22 as proof of ((cP x9) x10)
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x9:=x21:fofType;Xx6:=Xx:fofType
% 18.53/18.77 Found x22 as proof of ((cP Xx) x9)
% 18.53/18.77 Found x8:((cP Xx2) x7)
% 18.53/18.77 Instantiate: x10:=x7:fofType;Xx2:=x24:fofType
% 18.53/18.77 Found x8 as proof of ((cP x9) x10)
% 18.53/18.77 Found (conj00 x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found ((conj0 ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found x8:((cP Xx2) x7)
% 18.53/18.77 Instantiate: x10:=x7:fofType;Xx2:=x24:fofType
% 18.53/18.77 Found x8 as proof of ((cP x9) x10)
% 18.53/18.77 Found (conj00 x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found ((conj0 ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found (((conj ((cP x9) x10)) ((cP Xx7) x24)) x8) as proof of (((cP Xx7) x24)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x10:=x21:fofType;x3:=Xx6:fofType
% 18.53/18.77 Found x22 as proof of ((cP x3) x10)
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x3:=x21:fofType;Xx6:=Xx:fofType
% 18.53/18.77 Found x22 as proof of ((cP Xx) x3)
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x0:=Xx6:fofType;x13:=x21:fofType
% 18.53/18.77 Found x22 as proof of ((cP x0) x13)
% 18.53/18.77 Found x22:((cP Xx6) x21)
% 18.53/18.77 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 18.53/18.77 Found x22 as proof of ((cP Xx) x0)
% 18.53/18.77 Found x19:((cP Xx5) x18)
% 18.53/18.77 Instantiate: x10:=x18:fofType;Xx5:=x24:fofType
% 18.53/18.77 Found x19 as proof of ((cP x3) x10)
% 18.53/18.77 Found (conj00 x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found ((conj0 ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found x19:((cP Xx5) x18)
% 18.53/18.77 Instantiate: x10:=x18:fofType;Xx5:=x24:fofType
% 18.53/18.77 Found x19 as proof of ((cP x3) x10)
% 18.53/18.77 Found (conj00 x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found ((conj0 ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found (((conj ((cP x3) x10)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 18.53/18.77 Found x3:((cP Xx0) x2)
% 18.53/18.77 Instantiate: x13:=x2:fofType;Xx0:=x24:fofType
% 18.53/18.77 Found x3 as proof of ((cP x0) x13)
% 18.53/18.77 Found (conj00 x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 18.53/18.77 Found ((conj0 ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 18.53/18.77 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 18.53/18.77 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found x3:((cP Xx0) x2)
% 22.33/22.51 Instantiate: x13:=x2:fofType;Xx0:=x24:fofType
% 22.33/22.51 Found x3 as proof of ((cP x0) x13)
% 22.33/22.51 Found (conj00 x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found ((conj0 ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x13)) ((cP Xx7) x24)) x3) as proof of (((cP Xx7) x24)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 22.33/22.51 Found x22:((cP Xx6) x21)
% 22.33/22.51 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 22.33/22.51 Found x22 as proof of ((cP Xx) x0)
% 22.33/22.51 Found x22:((cP Xx6) x21)
% 22.33/22.51 Instantiate: x0:=Xx6:fofType;x4:=x21:fofType
% 22.33/22.51 Found x22 as proof of ((cP x0) x4)
% 22.33/22.51 Found x13:((cP Xx3) x12)
% 22.33/22.51 Instantiate: Xx3:=x21:fofType;x4:=x12:fofType
% 22.33/22.51 Found x13 as proof of ((cP x0) x4)
% 22.33/22.51 Found ((conj00 x13) x22) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found (((conj0 ((cP Xx) x0)) x13) x22) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found (fun (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22)) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22)) as proof of (((cP Xx7) x24)->((and ((cP x0) x4)) ((cP Xx) x0)))
% 22.33/22.51 Found (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22)) as proof of (forall (x:fofType), (((cP Xx7) x)->((and ((cP x0) x4)) ((cP Xx) x0))))
% 22.33/22.51 Found (ex_ind70 (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22))) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found ((ex_ind7 ((and ((cP x0) x4)) ((cP Xx) x0))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22))) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found (((fun (P:Prop) (x24:(forall (x:fofType), (((cP Xx7) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx7) Xy))) P) x24) x23)) ((and ((cP x0) x4)) ((cP Xx) x0))) (fun (x24:fofType) (x25:((cP Xx7) x24))=> ((((conj ((cP x0) x4)) ((cP Xx) x0)) x13) x22))) as proof of ((and ((cP x0) x4)) ((cP Xx) x0))
% 22.33/22.51 Found x22:((cP Xx6) x21)
% 22.33/22.51 Instantiate: x0:=Xx6:fofType;x1:=x21:fofType
% 22.33/22.51 Found x22 as proof of ((cP x0) x1)
% 22.33/22.51 Found x22:((cP Xx6) x21)
% 22.33/22.51 Instantiate: x0:=x21:fofType;Xx6:=Xx:fofType
% 22.33/22.51 Found x22 as proof of ((cP Xx) x0)
% 22.33/22.51 Found x19:((cP Xx5) x18)
% 22.33/22.51 Instantiate: x1:=x18:fofType;Xx5:=x24:fofType
% 22.33/22.51 Found x19 as proof of ((cP x0) x1)
% 22.33/22.51 Found (conj00 x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found ((conj0 ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found x19:((cP Xx5) x18)
% 22.33/22.51 Instantiate: x1:=x18:fofType;Xx5:=x24:fofType
% 22.33/22.51 Found x19 as proof of ((cP x0) x1)
% 22.33/22.51 Found (conj00 x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found ((conj0 ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found (((conj ((cP x0) x1)) ((cP Xx7) x24)) x19) as proof of (((cP Xx7) x24)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 22.33/22.51 Found x18:((cP Xx5) x17)
% 22.33/22.51 Instantiate: x3:=Xx5:fofType;x28:=x17:fofType
% 22.33/22.51 Found x18 as proof of ((cP x3) x28)
% 22.33/22.51 Found x18:((cP Xx5) x17)
% 23.74/23.96 Instantiate: x3:=x17:fofType;Xx5:=Xx:fofType
% 23.74/23.96 Found x18 as proof of ((cP Xx) x3)
% 23.74/23.96 Found x18:((cP Xx5) x17)
% 23.74/23.96 Instantiate: x25:=x17:fofType;x3:=Xx5:fofType
% 23.74/23.96 Found x18 as proof of ((cP x3) x25)
% 23.74/23.96 Found x18:((cP Xx5) x17)
% 23.74/23.96 Instantiate: x3:=x17:fofType;Xx5:=Xx:fofType
% 23.74/23.96 Found x18 as proof of ((cP Xx) x3)
% 23.74/23.96 Found x21:((cP Xx6) x20)
% 23.74/23.96 Instantiate: x25:=x20:fofType;Xx6:=x27:fofType
% 23.74/23.96 Found x21 as proof of ((cP x3) x25)
% 23.74/23.96 Found (conj00 x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found ((conj0 ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found x21:((cP Xx6) x20)
% 23.74/23.96 Instantiate: x25:=x20:fofType;Xx6:=x27:fofType
% 23.74/23.96 Found x21 as proof of ((cP x3) x25)
% 23.74/23.96 Found (conj00 x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found ((conj0 ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found (((conj ((cP x3) x25)) ((cP Xx8) x27)) x21) as proof of (((cP Xx8) x27)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 23.74/23.96 Found x19:((cP Xx5) x18)
% 23.74/23.96 Instantiate: x9:=x18:fofType;Xx5:=Xx:fofType
% 23.74/23.96 Found x19 as proof of ((cP Xx) x9)
% 23.74/23.96 Found x19:((cP Xx5) x18)
% 23.74/23.96 Instantiate: x10:=x18:fofType;x9:=Xx5:fofType
% 23.74/23.96 Found x19 as proof of ((cP x9) x10)
% 23.74/23.96 Found x16:((cP Xx4) x15)
% 23.74/23.96 Instantiate: x10:=x15:fofType;Xx4:=x18:fofType
% 23.74/23.96 Found x16 as proof of ((cP x9) x10)
% 23.74/23.96 Found ((conj00 x16) x19) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found (((conj0 ((cP Xx) x9)) x16) x19) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found (fun (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19)) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19)) as proof of (((cP Xx8) x27)->((and ((cP x9) x10)) ((cP Xx) x9)))
% 23.74/23.96 Found (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19)) as proof of (forall (x:fofType), (((cP Xx8) x)->((and ((cP x9) x10)) ((cP Xx) x9))))
% 23.74/23.96 Found (ex_ind80 (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19))) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found ((ex_ind8 ((and ((cP x9) x10)) ((cP Xx) x9))) (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19))) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found (((fun (P:Prop) (x27:(forall (x:fofType), (((cP Xx8) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx8) Xy))) P) x27) x26)) ((and ((cP x9) x10)) ((cP Xx) x9))) (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x9) x10)) ((cP Xx) x9)) x16) x19))) as proof of ((and ((cP x9) x10)) ((cP Xx) x9))
% 23.74/23.96 Found x19:((cP Xx5) x18)
% 23.74/23.96 Instantiate: x3:=x18:fofType;Xx5:=Xx:fofType
% 23.74/23.96 Found x19 as proof of ((cP Xx) x3)
% 23.74/23.96 Found x19:((cP Xx5) x18)
% 23.74/23.96 Instantiate: x10:=x18:fofType;x3:=Xx5:fofType
% 23.74/23.96 Found x19 as proof of ((cP x3) x10)
% 23.74/23.96 Found x16:((cP Xx4) x15)
% 23.74/23.96 Instantiate: x10:=x15:fofType;Xx4:=x18:fofType
% 23.74/23.96 Found x16 as proof of ((cP x3) x10)
% 23.74/23.96 Found ((conj00 x16) x19) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 23.74/23.96 Found (((conj0 ((cP Xx) x3)) x16) x19) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 23.74/23.96 Found ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 23.74/23.96 Found (fun (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19)) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 23.74/23.96 Found (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19)) as proof of (((cP Xx8) x27)->((and ((cP x3) x10)) ((cP Xx) x3)))
% 28.66/28.90 Found (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19)) as proof of (forall (x:fofType), (((cP Xx8) x)->((and ((cP x3) x10)) ((cP Xx) x3))))
% 28.66/28.90 Found (ex_ind80 (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19))) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 28.66/28.90 Found ((ex_ind8 ((and ((cP x3) x10)) ((cP Xx) x3))) (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19))) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 28.66/28.90 Found (((fun (P:Prop) (x27:(forall (x:fofType), (((cP Xx8) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx8) Xy))) P) x27) x26)) ((and ((cP x3) x10)) ((cP Xx) x3))) (fun (x27:fofType) (x28:((cP Xx8) x27))=> ((((conj ((cP x3) x10)) ((cP Xx) x3)) x16) x19))) as proof of ((and ((cP x3) x10)) ((cP Xx) x3))
% 28.66/28.90 Found x19:((cP Xx5) x18)
% 28.66/28.90 Instantiate: x0:=Xx5:fofType;x13:=x18:fofType
% 28.66/28.90 Found x19 as proof of ((cP x0) x13)
% 28.66/28.90 Found x19:((cP Xx5) x18)
% 28.66/28.90 Instantiate: x0:=x18:fofType;Xx5:=Xx:fofType
% 28.66/28.90 Found x19 as proof of ((cP Xx) x0)
% 28.66/28.90 Found x6:((cP Xx1) x5)
% 28.66/28.90 Instantiate: Xx1:=x27:fofType;x13:=x5:fofType
% 28.66/28.90 Found x6 as proof of ((cP x0) x13)
% 28.66/28.90 Found (conj00 x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found ((conj0 ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found x6:((cP Xx1) x5)
% 28.66/28.90 Instantiate: Xx1:=x27:fofType;x13:=x5:fofType
% 28.66/28.90 Found x6 as proof of ((cP x0) x13)
% 28.66/28.90 Found (conj00 x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found ((conj0 ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x13)) ((cP Xx8) x27)) x6) as proof of (((cP Xx8) x27)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 28.66/28.90 Found x19:((cP Xx5) x18)
% 28.66/28.90 Instantiate: x0:=Xx5:fofType;x1:=x18:fofType
% 28.66/28.90 Found x19 as proof of ((cP x0) x1)
% 28.66/28.90 Found x19:((cP Xx5) x18)
% 28.66/28.90 Instantiate: x0:=x18:fofType;Xx5:=Xx:fofType
% 28.66/28.90 Found x19 as proof of ((cP Xx) x0)
% 28.66/28.90 Found x4:((cP Xx0) x3)
% 28.66/28.90 Instantiate: x1:=x3:fofType;Xx0:=x27:fofType
% 28.66/28.90 Found x4 as proof of ((cP x0) x1)
% 28.66/28.90 Found (conj00 x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found ((conj0 ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found x4:((cP Xx0) x3)
% 28.66/28.90 Instantiate: x1:=x3:fofType;Xx0:=x27:fofType
% 28.66/28.90 Found x4 as proof of ((cP x0) x1)
% 28.66/28.90 Found (conj00 x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found ((conj0 ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found (((conj ((cP x0) x1)) ((cP Xx8) x27)) x4) as proof of (((cP Xx8) x27)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 28.66/28.90 Found x27:((cP Xx8) x26)
% 28.66/28.90 Instantiate: x3:=Xx8:fofType;x31:=x26:fofType
% 28.66/28.90 Found x27 as proof of ((cP x3) x31)
% 28.66/28.90 Found x27:((cP Xx8) x26)
% 28.66/28.90 Instantiate: x3:=x26:fofType;Xx8:=Xx:fofType
% 28.66/28.90 Found x27 as proof of ((cP Xx) x3)
% 28.66/28.90 Found x27:((cP Xx8) x26)
% 28.66/28.90 Instantiate: x3:=Xx8:fofType;x28:=x26:fofType
% 30.63/30.81 Found x27 as proof of ((cP x3) x28)
% 30.63/30.81 Found x27:((cP Xx8) x26)
% 30.63/30.81 Instantiate: x3:=x26:fofType;Xx8:=Xx:fofType
% 30.63/30.81 Found x27 as proof of ((cP Xx) x3)
% 30.63/30.81 Found x24:((cP Xx7) x23)
% 30.63/30.81 Instantiate: Xx7:=x30:fofType;x28:=x23:fofType
% 30.63/30.81 Found x24 as proof of ((cP x3) x28)
% 30.63/30.81 Found (conj00 x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found ((conj0 ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found x24:((cP Xx7) x23)
% 30.63/30.81 Instantiate: Xx7:=x30:fofType;x28:=x23:fofType
% 30.63/30.81 Found x24 as proof of ((cP x3) x28)
% 30.63/30.81 Found (conj00 x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found ((conj0 ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x28)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 30.63/30.81 Found x31:((cP Xx9) x30)
% 30.63/30.81 Instantiate: x3:=x30:fofType;Xx9:=Xx:fofType
% 30.63/30.81 Found x31 as proof of ((cP Xx) x3)
% 30.63/30.81 Found x31:((cP Xx9) x30)
% 30.63/30.81 Instantiate: x25:=x30:fofType;x3:=Xx9:fofType
% 30.63/30.81 Found x31 as proof of ((cP x3) x25)
% 30.63/30.81 Found x24:((cP Xx7) x23)
% 30.63/30.81 Instantiate: x25:=x23:fofType;Xx7:=x30:fofType
% 30.63/30.81 Found x24 as proof of ((cP x3) x25)
% 30.63/30.81 Found ((conj00 x24) x31) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 30.63/30.81 Found (((conj0 ((cP Xx) x3)) x24) x31) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 30.63/30.81 Found ((((conj ((cP x3) x25)) ((cP Xx) x3)) x24) x31) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 30.63/30.81 Found (fun (x31:((cP Xx9) x30))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x24) x31)) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 30.63/30.81 Found x24:((cP Xx7) x23)
% 30.63/30.81 Instantiate: x25:=x23:fofType;Xx7:=x30:fofType
% 30.63/30.81 Found x24 as proof of ((cP x3) x25)
% 30.63/30.81 Found (conj00 x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found ((conj0 ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found x24:((cP Xx7) x23)
% 30.63/30.81 Instantiate: x25:=x23:fofType;Xx7:=x30:fofType
% 30.63/30.81 Found x24 as proof of ((cP x3) x25)
% 30.63/30.81 Found (conj00 x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found ((conj0 ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found (((conj ((cP x3) x25)) ((cP Xx9) x30)) x24) as proof of (((cP Xx9) x30)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 30.63/30.81 Found x16:((cP Xx4) x15)
% 30.63/30.81 Instantiate: x0:=Xx4:fofType;x13:=x15:fofType
% 30.63/30.81 Found x16 as proof of ((cP x0) x13)
% 30.63/30.81 Found x16:((cP Xx4) x15)
% 30.63/30.81 Instantiate: x0:=x15:fofType;Xx4:=Xx:fofType
% 30.63/30.81 Found x16 as proof of ((cP Xx) x0)
% 30.63/30.81 Found x22:((cP Xx6) x21)
% 30.63/30.81 Instantiate: x13:=x21:fofType;Xx6:=x30:fofType
% 30.63/30.81 Found x22 as proof of ((cP x0) x13)
% 30.63/30.81 Found (conj00 x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 30.63/30.81 Found ((conj0 ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 30.63/30.81 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 30.63/30.81 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found x22:((cP Xx6) x21)
% 36.14/36.31 Instantiate: x13:=x21:fofType;Xx6:=x30:fofType
% 36.14/36.31 Found x22 as proof of ((cP x0) x13)
% 36.14/36.31 Found (conj00 x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found ((conj0 ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found (((conj ((cP x0) x13)) ((cP Xx9) x30)) x22) as proof of (((cP Xx9) x30)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 36.14/36.31 Found x16:((cP Xx4) x15)
% 36.14/36.31 Instantiate: x0:=x15:fofType;Xx4:=Xx:fofType
% 36.14/36.31 Found x16 as proof of ((cP Xx) x0)
% 36.14/36.31 Found x16:((cP Xx4) x15)
% 36.14/36.31 Instantiate: x0:=Xx4:fofType;x1:=x15:fofType
% 36.14/36.31 Found x16 as proof of ((cP x0) x1)
% 36.14/36.31 Found x22:((cP Xx6) x21)
% 36.14/36.31 Instantiate: x1:=x21:fofType;Xx6:=x15:fofType
% 36.14/36.31 Found x22 as proof of ((cP x0) x1)
% 36.14/36.31 Found ((conj00 x22) x16) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found (((conj0 ((cP Xx) x0)) x22) x16) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found (fun (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16)) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found (fun (x30:fofType) (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16)) as proof of (((cP Xx9) x30)->((and ((cP x0) x1)) ((cP Xx) x0)))
% 36.14/36.31 Found (fun (x30:fofType) (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16)) as proof of (forall (x:fofType), (((cP Xx9) x)->((and ((cP x0) x1)) ((cP Xx) x0))))
% 36.14/36.31 Found (ex_ind90 (fun (x30:fofType) (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16))) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found ((ex_ind9 ((and ((cP x0) x1)) ((cP Xx) x0))) (fun (x30:fofType) (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16))) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found (((fun (P:Prop) (x30:(forall (x:fofType), (((cP Xx9) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx9) Xy))) P) x30) x29)) ((and ((cP x0) x1)) ((cP Xx) x0))) (fun (x30:fofType) (x31:((cP Xx9) x30))=> ((((conj ((cP x0) x1)) ((cP Xx) x0)) x22) x16))) as proof of ((and ((cP x0) x1)) ((cP Xx) x0))
% 36.14/36.31 Found x33:((cP Xx10) x32)
% 36.14/36.31 Instantiate: x3:=Xx10:fofType;x34:=x32:fofType
% 36.14/36.31 Found x33 as proof of ((cP x3) x34)
% 36.14/36.31 Found x33:((cP Xx10) x32)
% 36.14/36.31 Instantiate: x3:=x32:fofType;Xx10:=Xx:fofType
% 36.14/36.31 Found x33 as proof of ((cP Xx) x3)
% 36.14/36.31 Found x21:((cP Xx6) x20)
% 36.14/36.31 Instantiate: x3:=x20:fofType;Xx6:=Xx:fofType
% 36.14/36.31 Found x21 as proof of ((cP Xx) x3)
% 36.14/36.31 Found x21:((cP Xx6) x20)
% 36.14/36.31 Instantiate: x3:=Xx6:fofType;x31:=x20:fofType
% 36.14/36.31 Found x21 as proof of ((cP x3) x31)
% 36.14/36.31 Found x2:((cP Xx0) x1)
% 36.14/36.31 Instantiate: Xx0:=x20:fofType;x31:=x1:fofType
% 36.14/36.31 Found x2 as proof of ((cP x3) x31)
% 36.14/36.31 Found ((conj00 x2) x21) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 36.14/36.31 Found (((conj0 ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 36.14/36.31 Found ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 36.14/36.31 Found (fun (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21)) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 36.14/36.31 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21)) as proof of (((cP Xx10) x33)->((and ((cP x3) x31)) ((cP Xx) x3)))
% 36.14/36.31 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21)) as proof of (forall (x:fofType), (((cP Xx10) x)->((and ((cP x3) x31)) ((cP Xx) x3))))
% 36.14/36.31 Found (ex_ind110 (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 36.14/36.31 Found ((ex_ind11 ((and ((cP x3) x31)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 38.04/38.20 Found (((fun (P:Prop) (x33:(forall (x:fofType), (((cP Xx10) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx10) Xy))) P) x33) x32)) ((and ((cP x3) x31)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x31)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x31)) ((cP Xx) x3))
% 38.04/38.20 Found x21:((cP Xx6) x20)
% 38.04/38.20 Instantiate: x3:=x20:fofType;Xx6:=Xx:fofType
% 38.04/38.20 Found x21 as proof of ((cP Xx) x3)
% 38.04/38.20 Found x21:((cP Xx6) x20)
% 38.04/38.20 Instantiate: x3:=Xx6:fofType;x28:=x20:fofType
% 38.04/38.20 Found x21 as proof of ((cP x3) x28)
% 38.04/38.20 Found x2:((cP Xx0) x1)
% 38.04/38.20 Instantiate: Xx0:=x20:fofType;x28:=x1:fofType
% 38.04/38.20 Found x2 as proof of ((cP x3) x28)
% 38.04/38.20 Found ((conj00 x2) x21) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found (((conj0 ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found (fun (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21)) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21)) as proof of (((cP Xx10) x33)->((and ((cP x3) x28)) ((cP Xx) x3)))
% 38.04/38.20 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21)) as proof of (forall (x:fofType), (((cP Xx10) x)->((and ((cP x3) x28)) ((cP Xx) x3))))
% 38.04/38.20 Found (ex_ind110 (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found ((ex_ind11 ((and ((cP x3) x28)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found (((fun (P:Prop) (x33:(forall (x:fofType), (((cP Xx10) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx10) Xy))) P) x33) x32)) ((and ((cP x3) x28)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x28)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x28)) ((cP Xx) x3))
% 38.04/38.20 Found x21:((cP Xx6) x20)
% 38.04/38.20 Instantiate: x3:=x20:fofType;Xx6:=Xx:fofType
% 38.04/38.20 Found x21 as proof of ((cP Xx) x3)
% 38.04/38.20 Found x21:((cP Xx6) x20)
% 38.04/38.20 Instantiate: x25:=x20:fofType;x3:=Xx6:fofType
% 38.04/38.20 Found x21 as proof of ((cP x3) x25)
% 38.04/38.20 Found x2:((cP Xx0) x1)
% 38.04/38.20 Instantiate: x25:=x1:fofType;Xx0:=x20:fofType
% 38.04/38.20 Found x2 as proof of ((cP x3) x25)
% 38.04/38.20 Found ((conj00 x2) x21) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found (((conj0 ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found (fun (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21)) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21)) as proof of (((cP Xx10) x33)->((and ((cP x3) x25)) ((cP Xx) x3)))
% 38.04/38.20 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21)) as proof of (forall (x:fofType), (((cP Xx10) x)->((and ((cP x3) x25)) ((cP Xx) x3))))
% 38.04/38.20 Found (ex_ind110 (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found ((ex_ind11 ((and ((cP x3) x25)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found (((fun (P:Prop) (x33:(forall (x:fofType), (((cP Xx10) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx10) Xy))) P) x33) x32)) ((and ((cP x3) x25)) ((cP Xx) x3))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x3) x25)) ((cP Xx) x3)) x2) x21))) as proof of ((and ((cP x3) x25)) ((cP Xx) x3))
% 38.04/38.20 Found x19:((cP Xx5) x18)
% 38.04/38.20 Instantiate: x0:=x18:fofType;Xx5:=Xx:fofType
% 38.04/38.20 Found x19 as proof of ((cP Xx) x0)
% 38.04/38.20 Found x19:((cP Xx5) x18)
% 38.04/38.20 Instantiate: x0:=Xx5:fofType;x13:=x18:fofType
% 38.04/38.20 Found x19 as proof of ((cP x0) x13)
% 38.04/38.20 Found x31:((cP Xx9) x30)
% 38.04/38.20 Instantiate: Xx9:=x18:fofType;x13:=x30:fofType
% 38.04/38.20 Found x31 as proof of ((cP x0) x13)
% 38.04/38.20 Found ((conj00 x31) x19) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found (((conj0 ((cP Xx) x0)) x31) x19) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found (fun (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19)) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19)) as proof of (((cP Xx10) x33)->((and ((cP x0) x13)) ((cP Xx) x0)))
% 53.13/53.30 Found (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19)) as proof of (forall (x:fofType), (((cP Xx10) x)->((and ((cP x0) x13)) ((cP Xx) x0))))
% 53.13/53.30 Found (ex_ind110 (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19))) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found ((ex_ind11 ((and ((cP x0) x13)) ((cP Xx) x0))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19))) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found (((fun (P:Prop) (x33:(forall (x:fofType), (((cP Xx10) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx10) Xy))) P) x33) x32)) ((and ((cP x0) x13)) ((cP Xx) x0))) (fun (x33:fofType) (x34:((cP Xx10) x33))=> ((((conj ((cP x0) x13)) ((cP Xx) x0)) x31) x19))) as proof of ((and ((cP x0) x13)) ((cP Xx) x0))
% 53.13/53.30 Found x9:((cP Xx2) x8)
% 53.13/53.30 Instantiate: x3:=Xx2:fofType;x37:=x8:fofType
% 53.13/53.30 Found x9 as proof of ((cP x3) x37)
% 53.13/53.30 Found x9:((cP Xx2) x8)
% 53.13/53.30 Instantiate: Xx2:=Xx:fofType;x3:=x8:fofType
% 53.13/53.30 Found x9 as proof of ((cP Xx) x3)
% 53.13/53.30 Found x9:((cP Xx2) x8)
% 53.13/53.30 Instantiate: x3:=Xx2:fofType;x34:=x8:fofType
% 53.13/53.30 Found x9 as proof of ((cP x3) x34)
% 53.13/53.30 Found x9:((cP Xx2) x8)
% 53.13/53.30 Instantiate: Xx2:=Xx:fofType;x3:=x8:fofType
% 53.13/53.30 Found x9 as proof of ((cP Xx) x3)
% 53.13/53.30 Found x6:((cP Xx1) x5)
% 53.13/53.30 Instantiate: Xx1:=x36:fofType;x34:=x5:fofType
% 53.13/53.30 Found x6 as proof of ((cP x3) x34)
% 53.13/53.30 Found (conj00 x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found ((conj0 ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found x6:((cP Xx1) x5)
% 53.13/53.30 Instantiate: Xx1:=x36:fofType;x34:=x5:fofType
% 53.13/53.30 Found x6 as proof of ((cP x3) x34)
% 53.13/53.30 Found (conj00 x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found ((conj0 ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found (((conj ((cP x3) x34)) ((cP Xx11) x36)) x6) as proof of (((cP Xx11) x36)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 53.13/53.30 Found x24:((cP Xx7) x23)
% 53.13/53.30 Instantiate: x3:=Xx7:fofType;x40:=x23:fofType
% 53.13/53.30 Found x24 as proof of ((cP x3) x40)
% 53.13/53.30 Found x24:((cP Xx7) x23)
% 53.13/53.30 Instantiate: x3:=x23:fofType;Xx7:=Xx:fofType
% 53.13/53.30 Found x24 as proof of ((cP Xx) x3)
% 53.13/53.30 Found x24:((cP Xx7) x23)
% 53.13/53.30 Instantiate: x3:=x23:fofType;Xx7:=Xx:fofType
% 53.13/53.30 Found x24 as proof of ((cP Xx) x3)
% 53.13/53.30 Found x24:((cP Xx7) x23)
% 53.13/53.30 Instantiate: x3:=Xx7:fofType;x37:=x23:fofType
% 53.13/53.30 Found x24 as proof of ((cP x3) x37)
% 53.13/53.30 Found x21:((cP Xx6) x20)
% 53.13/53.30 Instantiate: Xx6:=x23:fofType;x37:=x20:fofType
% 53.13/53.30 Found x21 as proof of ((cP x3) x37)
% 53.13/53.30 Found ((conj00 x21) x24) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 53.13/53.30 Found (((conj0 ((cP Xx) x3)) x21) x24) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 53.13/53.30 Found ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 53.13/53.30 Found (fun (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24)) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 53.13/53.30 Found (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24)) as proof of (((cP Xx12) x39)->((and ((cP x3) x37)) ((cP Xx) x3)))
% 63.34/63.56 Found (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24)) as proof of (forall (x:fofType), (((cP Xx12) x)->((and ((cP x3) x37)) ((cP Xx) x3))))
% 63.34/63.56 Found (ex_ind130 (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 63.34/63.56 Found ((ex_ind13 ((and ((cP x3) x37)) ((cP Xx) x3))) (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 63.34/63.56 Found (((fun (P:Prop) (x39:(forall (x:fofType), (((cP Xx12) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx12) Xy))) P) x39) x38)) ((and ((cP x3) x37)) ((cP Xx) x3))) (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x37)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x37)) ((cP Xx) x3))
% 63.34/63.56 Found x24:((cP Xx7) x23)
% 63.34/63.56 Instantiate: x3:=x23:fofType;Xx7:=Xx:fofType
% 63.34/63.56 Found x24 as proof of ((cP Xx) x3)
% 63.34/63.56 Found x24:((cP Xx7) x23)
% 63.34/63.56 Instantiate: x3:=Xx7:fofType;x34:=x23:fofType
% 63.34/63.56 Found x24 as proof of ((cP x3) x34)
% 63.34/63.56 Found x21:((cP Xx6) x20)
% 63.34/63.56 Instantiate: Xx6:=x23:fofType;x34:=x20:fofType
% 63.34/63.56 Found x21 as proof of ((cP x3) x34)
% 63.34/63.56 Found ((conj00 x21) x24) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found (((conj0 ((cP Xx) x3)) x21) x24) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found (fun (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24)) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24)) as proof of (((cP Xx12) x39)->((and ((cP x3) x34)) ((cP Xx) x3)))
% 63.34/63.56 Found (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24)) as proof of (forall (x:fofType), (((cP Xx12) x)->((and ((cP x3) x34)) ((cP Xx) x3))))
% 63.34/63.56 Found (ex_ind130 (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found ((ex_ind13 ((and ((cP x3) x34)) ((cP Xx) x3))) (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found (((fun (P:Prop) (x39:(forall (x:fofType), (((cP Xx12) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx12) Xy))) P) x39) x38)) ((and ((cP x3) x34)) ((cP Xx) x3))) (fun (x39:fofType) (x40:((cP Xx12) x39))=> ((((conj ((cP x3) x34)) ((cP Xx) x3)) x21) x24))) as proof of ((and ((cP x3) x34)) ((cP Xx) x3))
% 63.34/63.56 Found x18:((cP Xx5) x17)
% 63.34/63.56 Instantiate: x3:=Xx5:fofType;x43:=x17:fofType
% 63.34/63.56 Found x18 as proof of ((cP x3) x43)
% 63.34/63.56 Found x18:((cP Xx5) x17)
% 63.34/63.56 Instantiate: x3:=x17:fofType;Xx5:=Xx:fofType
% 63.34/63.56 Found x18 as proof of ((cP Xx) x3)
% 63.34/63.56 Found x18:((cP Xx5) x17)
% 63.34/63.56 Instantiate: x3:=Xx5:fofType;x40:=x17:fofType
% 63.34/63.56 Found x18 as proof of ((cP x3) x40)
% 63.34/63.56 Found x18:((cP Xx5) x17)
% 63.34/63.56 Instantiate: x3:=x17:fofType;Xx5:=Xx:fofType
% 63.34/63.56 Found x18 as proof of ((cP Xx) x3)
% 63.34/63.56 Found x9:((cP Xx2) x8)
% 63.34/63.56 Instantiate: Xx2:=x42:fofType;x40:=x8:fofType
% 63.34/63.56 Found x9 as proof of ((cP x3) x40)
% 63.34/63.56 Found (conj00 x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found ((conj0 ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found x9:((cP Xx2) x8)
% 63.34/63.56 Instantiate: Xx2:=x42:fofType;x40:=x8:fofType
% 63.34/63.56 Found x9 as proof of ((cP x3) x40)
% 63.34/63.56 Found (conj00 x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found ((conj0 ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 63.34/63.56 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 88.11/88.33 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 88.11/88.33 Found (((conj ((cP x3) x40)) ((cP Xx13) x42)) x9) as proof of (((cP Xx13) x42)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 88.11/88.33 Found x42:((cP Xx13) x41)
% 88.11/88.33 Instantiate: x3:=Xx13:fofType;x46:=x41:fofType
% 88.11/88.33 Found x42 as proof of ((cP x3) x46)
% 88.11/88.33 Found x42:((cP Xx13) x41)
% 88.11/88.33 Instantiate: x3:=x41:fofType;Xx13:=Xx:fofType
% 88.11/88.33 Found x42 as proof of ((cP Xx) x3)
% 88.11/88.33 Found x42:((cP Xx13) x41)
% 88.11/88.33 Instantiate: x3:=x41:fofType;Xx13:=Xx:fofType
% 88.11/88.33 Found x42 as proof of ((cP Xx) x3)
% 88.11/88.33 Found x42:((cP Xx13) x41)
% 88.11/88.33 Instantiate: x3:=Xx13:fofType;x43:=x41:fofType
% 88.11/88.33 Found x42 as proof of ((cP x3) x43)
% 88.11/88.33 Found x30:((cP Xx9) x29)
% 88.11/88.33 Instantiate: Xx9:=x41:fofType;x43:=x29:fofType
% 88.11/88.33 Found x30 as proof of ((cP x3) x43)
% 88.11/88.33 Found ((conj00 x30) x42) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found (((conj0 ((cP Xx) x3)) x30) x42) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found (fun (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42)) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42)) as proof of (((cP Xx14) x45)->((and ((cP x3) x43)) ((cP Xx) x3)))
% 88.11/88.33 Found (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42)) as proof of (forall (x:fofType), (((cP Xx14) x)->((and ((cP x3) x43)) ((cP Xx) x3))))
% 88.11/88.33 Found (ex_ind150 (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42))) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found ((ex_ind15 ((and ((cP x3) x43)) ((cP Xx) x3))) (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42))) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found (((fun (P:Prop) (x45:(forall (x:fofType), (((cP Xx14) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx14) Xy))) P) x45) x44)) ((and ((cP x3) x43)) ((cP Xx) x3))) (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x43)) ((cP Xx) x3)) x30) x42))) as proof of ((and ((cP x3) x43)) ((cP Xx) x3))
% 88.11/88.33 Found x30:((cP Xx9) x29)
% 88.11/88.33 Instantiate: x3:=x29:fofType;Xx9:=Xx:fofType
% 88.11/88.33 Found x30 as proof of ((cP Xx) x3)
% 88.11/88.33 Found x30:((cP Xx9) x29)
% 88.11/88.33 Instantiate: x3:=Xx9:fofType;x40:=x29:fofType
% 88.11/88.33 Found x30 as proof of ((cP x3) x40)
% 88.11/88.33 Found x33:((cP Xx10) x32)
% 88.11/88.33 Instantiate: x40:=x32:fofType;Xx10:=x29:fofType
% 88.11/88.33 Found x33 as proof of ((cP x3) x40)
% 88.11/88.33 Found ((conj00 x33) x30) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found (((conj0 ((cP Xx) x3)) x33) x30) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found (fun (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30)) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30)) as proof of (((cP Xx14) x45)->((and ((cP x3) x40)) ((cP Xx) x3)))
% 88.11/88.33 Found (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30)) as proof of (forall (x:fofType), (((cP Xx14) x)->((and ((cP x3) x40)) ((cP Xx) x3))))
% 88.11/88.33 Found (ex_ind150 (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30))) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found ((ex_ind15 ((and ((cP x3) x40)) ((cP Xx) x3))) (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30))) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found (((fun (P:Prop) (x45:(forall (x:fofType), (((cP Xx14) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx14) Xy))) P) x45) x44)) ((and ((cP x3) x40)) ((cP Xx) x3))) (fun (x45:fofType) (x46:((cP Xx14) x45))=> ((((conj ((cP x3) x40)) ((cP Xx) x3)) x33) x30))) as proof of ((and ((cP x3) x40)) ((cP Xx) x3))
% 88.11/88.33 Found x30:((cP Xx9) x29)
% 88.11/88.33 Instantiate: x3:=x29:fofType;Xx9:=Xx:fofType
% 88.11/88.33 Found x30 as proof of ((cP Xx) x3)
% 88.11/88.33 Found x30:((cP Xx9) x29)
% 88.11/88.33 Instantiate: x3:=Xx9:fofType;x49:=x29:fofType
% 88.11/88.33 Found x30 as proof of ((cP x3) x49)
% 88.64/88.88 Found x18:((cP Xx5) x17)
% 88.64/88.88 Instantiate: x49:=x17:fofType;Xx5:=x29:fofType
% 88.64/88.88 Found x18 as proof of ((cP x3) x49)
% 88.64/88.88 Found ((conj00 x18) x30) as proof of ((and ((cP x3) x49)) ((cP Xx) x3))
% 88.64/88.88 Found (((conj0 ((cP Xx) x3)) x18) x30) as proof of ((and ((cP x3) x49)) ((cP Xx) x3))
% 88.64/88.88 Found ((((conj ((cP x3) x49)) ((cP Xx) x3)) x18) x30) as proof of ((and ((cP x3) x49)) ((cP Xx) x3))
% 88.64/88.88 Found ((((conj ((cP x3) x49)) ((cP Xx) x3)) x18) x30) as proof of ((and ((cP x3) x49)) ((cP Xx) x3))
% 88.64/88.88 Found (ex_intro010 ((((conj ((cP x3) x49)) ((cP Xx) x3)) x18) x30)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found ((ex_intro01 x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30)) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found (fun (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found (fun (x47:fofType) (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30))) as proof of (((cP Xx15) x47)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))))
% 88.64/88.88 Found (fun (x47:fofType) (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30))) as proof of (forall (x:fofType), (((cP Xx15) x)->((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))))
% 88.64/88.88 Found (ex_ind160 (fun (x47:fofType) (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found ((ex_ind16 ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))) (fun (x47:fofType) (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found (((fun (P:Prop) (x47:(forall (x:fofType), (((cP Xx15) x)->P)))=> (((((ex_ind fofType) (fun (Xy:fofType)=> ((cP Xx15) Xy))) P) x47) x46)) ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))) (fun (x47:fofType) (x48:((cP Xx15) x47))=> (((ex_intro0 (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3)))) x17) ((((conj ((cP x3) x17)) ((cP Xx) x3)) x18) x30)))) as proof of ((ex fofType) (fun (Xz:fofType)=> ((and ((cP x3) Xz)) ((cP Xx) x3))))
% 88.64/88.88 Found x30:((cP Xx9) x29)
% 88.64/88.88 Instantiate: x3:=Xx9:fofType;x46:=x29:fofType
% 88.64/88.88 Found x30 as proof of ((cP x3) x46)
% 88.64/88.88 Found x30:((cP Xx9) x29)
% 88.64/88.88 Instantiate: x3:=x29:fofType;Xx9:=Xx:fofType
% 88.64/88.88 Found x30 as proof of ((cP Xx) x3)
% 88.64/88.88 Found x15:((cP Xx4) x14)
% 88.64/88.88 Instantiate: x46:=x14:fofType;Xx4:=x48:fofType
% 88.64/88.88 Found x15 as proof of ((cP x3) x46)
% 88.64/88.88 Found (conj00 x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found ((conj0 ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found x15:((cP Xx4) x14)
% 88.64/88.88 Instantiate: x46:=x14:fofType;Xx4:=x48:fofType
% 88.64/88.88 Found x15 as proof of ((cP x3) x46)
% 88.64/88.88 Found (conj00 x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found ((conj0 ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 88.64/88.88 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx15) x48)) x15) as proof of (((cP Xx15) x48)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found x39:((cP Xx12) x38)
% 137.37/137.63 Instantiate: x3:=Xx12:fofType;x46:=x38:fofType
% 137.37/137.63 Found x39 as proof of ((cP x3) x46)
% 137.37/137.63 Found x39:((cP Xx12) x38)
% 137.37/137.63 Instantiate: x3:=x38:fofType;Xx12:=Xx:fofType
% 137.37/137.63 Found x39 as proof of ((cP Xx) x3)
% 137.37/137.63 Found x30:((cP Xx9) x29)
% 137.37/137.63 Instantiate: x46:=x29:fofType;Xx9:=x51:fofType
% 137.37/137.63 Found x30 as proof of ((cP x3) x46)
% 137.37/137.63 Found (conj00 x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found ((conj0 ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found x30:((cP Xx9) x29)
% 137.37/137.63 Instantiate: x46:=x29:fofType;Xx9:=x51:fofType
% 137.37/137.63 Found x30 as proof of ((cP x3) x46)
% 137.37/137.63 Found (conj00 x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found ((conj0 ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx16) x51)) x30) as proof of (((cP Xx16) x51)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found x12:((cP Xx3) x11)
% 137.37/137.63 Instantiate: x3:=Xx3:fofType;x46:=x11:fofType
% 137.37/137.63 Found x12 as proof of ((cP x3) x46)
% 137.37/137.63 Found x12:((cP Xx3) x11)
% 137.37/137.63 Instantiate: Xx3:=Xx:fofType;x3:=x11:fofType
% 137.37/137.63 Found x12 as proof of ((cP Xx) x3)
% 137.37/137.63 Found x42:((cP Xx13) x41)
% 137.37/137.63 Instantiate: x46:=x41:fofType;Xx13:=x54:fofType
% 137.37/137.63 Found x42 as proof of ((cP x3) x46)
% 137.37/137.63 Found (conj00 x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found ((conj0 ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found x42:((cP Xx13) x41)
% 137.37/137.63 Instantiate: x46:=x41:fofType;Xx13:=x54:fofType
% 137.37/137.63 Found x42 as proof of ((cP x3) x46)
% 137.37/137.63 Found (conj00 x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found ((conj0 ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx17) x54)) x42) as proof of (((cP Xx17) x54)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found x36:((cP Xx11) x35)
% 137.37/137.63 Instantiate: x3:=Xx11:fofType;x46:=x35:fofType
% 137.37/137.63 Found x36 as proof of ((cP x3) x46)
% 137.37/137.63 Found x36:((cP Xx11) x35)
% 137.37/137.63 Instantiate: x3:=x35:fofType;Xx11:=Xx:fofType
% 137.37/137.63 Found x36 as proof of ((cP Xx) x3)
% 137.37/137.63 Found x33:((cP Xx10) x32)
% 137.37/137.63 Instantiate: x46:=x32:fofType;Xx10:=x57:fofType
% 137.37/137.63 Found x33 as proof of ((cP x3) x46)
% 137.37/137.63 Found (conj00 x33) as proof of (((cP Xx18) x57)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found ((conj0 ((cP Xx18) x57)) x33) as proof of (((cP Xx18) x57)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx18) x57)) x33) as proof of (((cP Xx18) x57)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx18) x57)) x33) as proof of (((cP Xx18) x57)->((and ((cP x3) x46)) ((cP Xx) x3)))
% 137.37/137.63 Found (((conj ((cP x3) x46)) ((cP Xx18)
%------------------------------------------------------------------------------