TSTP Solution File: SYO335^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO335^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 00:51:11 EDT 2022
% Result : Timeout 300.01s 300.67s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO335^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Mar 12 04:37:50 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 30.02/30.20 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 30.02/30.20 FOF formula (<kernel.Constant object at 0x263d6c8>, <kernel.DependentProduct object at 0x263df38>) of role type named cS
% 30.02/30.20 Using role type
% 30.02/30.20 Declaring cS:(fofType->fofType)
% 30.02/30.20 FOF formula (<kernel.Constant object at 0x2637cf8>, <kernel.DependentProduct object at 0x263df38>) of role type named cDOUBLE
% 30.02/30.20 Using role type
% 30.02/30.20 Declaring cDOUBLE:(fofType->(fofType->Prop))
% 30.02/30.20 FOF formula (<kernel.Constant object at 0x263d560>, <kernel.DependentProduct object at 0x263d758>) of role type named cHALF
% 30.02/30.20 Using role type
% 30.02/30.20 Declaring cHALF:(fofType->(fofType->Prop))
% 30.02/30.20 FOF formula (<kernel.Constant object at 0x263d6c8>, <kernel.Single object at 0x263d998>) of role type named c0
% 30.02/30.20 Using role type
% 30.02/30.20 Declaring c0:fofType
% 30.02/30.20 FOF formula (((and ((and ((and ((and (forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->(forall (Q:(fofType->(fofType->Prop))), (((and ((and ((Q c0) c0)) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv)))))) ((cDOUBLE c0) c0))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu)))))) of role conjecture named cTHM300C
% 30.02/30.20 Conjecture to prove = (((and ((and ((and ((and (forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->(forall (Q:(fofType->(fofType->Prop))), (((and ((and ((Q c0) c0)) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv)))))) ((cDOUBLE c0) c0))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu)))))):Prop
% 30.02/30.20 We need to prove ['(((and ((and ((and ((and (forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->(forall (Q:(fofType->(fofType->Prop))), (((and ((and ((Q c0) c0)) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv)))))) ((cDOUBLE c0) c0))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu))))))']
% 30.02/30.20 Parameter fofType:Type.
% 30.02/30.20 Parameter cS:(fofType->fofType).
% 30.02/30.20 Parameter cDOUBLE:(fofType->(fofType->Prop)).
% 30.02/30.20 Parameter cHALF:(fofType->(fofType->Prop)).
% 30.02/30.20 Parameter c0:fofType.
% 30.02/30.20 Trying to prove (((and ((and ((and ((and (forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->(forall (Q:(fofType->(fofType->Prop))), (((and ((and ((Q c0) c0)) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv)))))) ((cDOUBLE c0) c0))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu))))))
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 30.02/30.20 Found x8:((cDOUBLE c0) c0)
% 30.02/30.20 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x8:((cDOUBLE c0) c0)
% 130.30/130.56 Found x8 as proof of ((Q c0) c0)
% 130.30/130.56 Found x9:((Q0 Xx) Xy)
% 130.30/130.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 130.30/130.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found x9:((Q0 Xx) Xy)
% 130.30/130.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 130.30/130.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found x9:((Q0 Xx) Xy)
% 130.30/130.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 130.30/130.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found x9:((Q0 Xx) Xy)
% 130.30/130.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 130.30/130.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 130.30/130.56 Found x9:((Q0 Xx) Xy)
% 130.30/130.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 134.13/134.37 Found x9:((Q0 Xx) Xy)
% 134.13/134.37 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 134.13/134.37 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 134.13/134.37 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found x9:((Q0 Xx) Xy)
% 138.90/139.15 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 138.90/139.15 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 138.90/139.15 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found x9:((Q0 Xx) Xy)
% 148.01/148.31 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 148.01/148.31 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 148.01/148.31 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 161.52/161.78 Found x9:((Q0 Xx) Xy)
% 161.52/161.78 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 161.52/161.78 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 177.93/178.20 Found x9:((Q0 Xx) Xy)
% 177.93/178.20 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 177.93/178.20 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 177.93/178.20 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found x9:((Q0 Xx) Xy)
% 190.83/191.14 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.83/191.14 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.83/191.14 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 190.95/191.26 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 190.95/191.26 Found x9:((Q0 Xx) Xy)
% 190.95/191.26 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 191.43/191.75 Found x9:((Q0 Xx) Xy)
% 191.43/191.75 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 191.43/191.75 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 191.43/191.75 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found x9:((Q0 Xx) Xy)
% 198.37/198.74 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.37/198.74 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.37/198.74 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 198.87/199.19 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 198.87/199.19 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 198.87/199.19 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 199.25/199.56 Found x9:((Q0 Xx) Xy)
% 199.25/199.56 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 199.25/199.56 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 205.95/206.29 Found x9:((Q0 Xx) Xy)
% 205.95/206.29 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 205.95/206.29 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 205.95/206.29 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found x9:((Q0 Xx) Xy)
% 206.35/206.66 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 206.35/206.66 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 206.35/206.66 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.15/211.46 Found x9:((Q0 Xx) Xy)
% 211.15/211.46 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.15/211.46 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 211.58/211.88 Found x9:((Q0 Xx) Xy)
% 211.58/211.88 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 211.58/211.88 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 211.58/211.88 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found x9:((Q0 Xx) Xy)
% 215.50/215.80 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 215.50/215.80 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 215.50/215.80 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 222.69/222.99 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 222.69/222.99 Found x9:((Q0 Xx) Xy)
% 222.69/222.99 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 223.85/224.17 Found x9:((Q0 Xx) Xy)
% 223.85/224.17 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 223.85/224.17 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 229.02/229.33 Found x9:((Q0 Xx) Xy)
% 229.02/229.33 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 229.02/229.33 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 229.02/229.33 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found x9:((Q0 Xx) Xy)
% 230.82/231.16 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 230.82/231.16 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 230.82/231.16 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy)))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found (fun (Xx:fofType) (Xy:fofType) (x9:((Q0 Xx) Xy))=> x9) as proof of (forall (Xx:fofType) (Xy:fofType), (((Q0 Xx) Xy)->((Q0 (cS (cS Xx))) (cS Xy))))
% 233.17/233.50 Found x9:((Q0 Xx) Xy)
% 233.17/233.50 Found (fun (x9:((Q0 Xx) Xy))=> x9) as proof of ((Q0 (cS (cS Xx))) (cS Xy))
% 233.17/233.50 Found (fun (Xy:fofType)
%------------------------------------------------------------------------------