TSTP Solution File: SYO315^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO315^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 00:51:09 EDT 2022
% Result : Timeout 289.60s 289.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO315^5 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 02:55:00 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 12.28/12.50 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 12.28/12.50 FOF formula (<kernel.Constant object at 0x1c96998>, <kernel.Constant object at 0x1c96908>) of role type named z
% 12.28/12.50 Using role type
% 12.28/12.50 Declaring z:fofType
% 12.28/12.50 FOF formula (((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (Xp Xx)) ((Xp Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))))->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) of role conjecture named cSILLYWFF
% 12.28/12.50 Conjecture to prove = (((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (Xp Xx)) ((Xp Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))))->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))):Prop
% 12.28/12.50 We need to prove ['(((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (Xp Xx)) ((Xp Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))))->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))']
% 12.28/12.50 Parameter fofType:Type.
% 12.28/12.50 Parameter z:fofType.
% 12.28/12.50 Trying to prove (((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (Xp Xx)) ((Xp Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))))->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))
% 12.28/12.50 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))):((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found (fun (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of ((x2 x6)->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))
% 12.28/12.50 Found (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))
% 12.28/12.50 Found (and_rect10 (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 12.28/12.50 Found (((fun (P:Type) (x10:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x10) x8)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found (((fun (P:Type) (x10:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x10) x8)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x10:((and (x0 x4)) ((x0 x6)->False))) (x11:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))):((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found (fun (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 20.58/20.79 Found (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of (((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))
% 20.58/20.79 Found (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False)))))))))))) as proof of ((x0 x4)->(((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))
% 23.68/23.86 Found (and_rect20 (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 23.68/23.86 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 23.68/23.86 Found (((fun (P:Type) (x12:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x12) x10)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 23.68/23.86 Found (((fun (P:Type) (x12:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x12) x10)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))) (fun (x12:(x0 x4)) (x13:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xp:(fofType->Prop))=> ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (Xp Xx))) ((Xp Xy)->False))))))))))
% 23.68/23.86 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found (fun (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of ((x2 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))
% 23.68/23.86 Found (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))
% 23.68/23.86 Found (and_rect10 (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.86 Found (((fun (P:Type) (x11:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.91 Found (((fun (P:Type) (x11:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 23.68/23.91 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.68/23.91 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.68/23.91 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.68/23.91 Found (fun (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.68/23.91 Found (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of ((x3 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))
% 23.68/23.91 Found (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))
% 23.77/23.92 Found (and_rect10 (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.77/23.92 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.77/23.92 Found (((fun (P:Type) (x11:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.77/23.92 Found (((fun (P:Type) (x11:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x11:((and (x0 x5)) ((x0 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 23.77/23.92 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found (fun (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of ((x2 x6)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))
% 23.77/23.92 Found (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))
% 23.77/23.92 Found (and_rect10 (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.92 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x11) x8)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.93 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x11) x8)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 23.77/23.93 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.93 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.93 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.93 Found (fun (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.93 Found (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of ((x2 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))
% 23.77/23.93 Found (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))
% 23.77/23.93 Found (and_rect10 (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.94 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.94 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.94 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x7)->False))) (x12:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 23.77/23.94 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.94 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.94 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.95 Found (fun (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.95 Found (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of ((x2 x6)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))
% 23.77/23.95 Found (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))
% 23.77/23.95 Found (and_rect10 (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.95 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.95 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.95 Found (((fun (P:Type) (x11:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x11:((and (x0 x4)) ((x0 x6)->False))) (x12:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 23.77/23.96 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 23.77/23.96 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 23.77/23.96 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 23.77/23.96 Found (fun (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 23.77/23.96 Found (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of ((x3 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))
% 23.77/23.96 Found (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))
% 23.77/23.96 Found (and_rect10 (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 23.77/23.96 Found ((and_rect1 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 37.88/38.04 Found (((fun (P:Type) (x11:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 37.88/38.04 Found (((fun (P:Type) (x11:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x11) x9)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x11:((and (x1 x5)) ((x1 x7)->False))) (x12:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 37.88/38.04 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.04 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.04 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.04 Found (fun (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.04 Found (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of (((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))
% 37.88/38.08 Found (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False)))))))))) as proof of ((x0 x5)->(((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))
% 37.88/38.08 Found (and_rect20 (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.08 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.08 Found (((fun (P:Type) (x13:((x0 x5)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x5)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.08 Found (((fun (P:Type) (x13:((x0 x5)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x5)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 37.88/38.08 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found (fun (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False)))))))))) as proof of (((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False)))))))))
% 37.88/38.08 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False)))))))))) as proof of ((x0 x4)->(((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))))
% 37.88/38.08 Found (and_rect20 (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.88/38.08 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x10)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.96/38.12 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x10)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x12 Xx))) ((x12 Xy)->False))))))))
% 37.96/38.12 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.12 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.12 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.12 Found (fun (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.12 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of (((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))
% 37.96/38.12 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False)))))))))) as proof of ((x0 x4)->(((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))
% 37.96/38.16 Found (and_rect20 (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.16 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.16 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.16 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 37.96/38.16 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.16 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.16 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.17 Found (fun (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.17 Found (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of (((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))
% 37.96/38.17 Found (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False)))))))))) as proof of ((x0 x5)->(((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))
% 37.96/38.17 Found (and_rect20 (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.17 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.17 Found (((fun (P:Type) (x13:((x0 x5)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x5)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 37.96/38.17 Found (((fun (P:Type) (x13:((x0 x5)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x5)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) (fun (x13:(x0 x5)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 38.02/38.21 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.21 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.21 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.21 Found (fun (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.21 Found (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of (((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))
% 38.02/38.21 Found (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False)))))))))) as proof of ((x0 x4)->(((x0 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))
% 38.02/38.21 Found (and_rect20 (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.21 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.25 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.25 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x7)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 38.02/38.25 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.02/38.25 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.02/38.25 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.02/38.25 Found (fun (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.02/38.25 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of (((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))
% 38.13/38.29 Found (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False)))))))))) as proof of ((x0 x4)->(((x0 x6)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))
% 38.13/38.29 Found (and_rect20 (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.13/38.29 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.13/38.29 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.13/38.29 Found (((fun (P:Type) (x13:((x0 x4)->(((x0 x6)->False)->P)))=> (((((and_rect (x0 x4)) ((x0 x6)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) (fun (x13:(x0 x4)) (x14:((x0 x6)->False))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 38.13/38.29 Found False_rect00:=(False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))):((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found (False_rect0 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found (fun (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of (((x1 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))
% 38.13/38.29 Found (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False)))))))))) as proof of ((x1 x5)->(((x1 x7)->False)->((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))
% 38.13/38.29 Found (and_rect20 (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found ((and_rect2 ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 38.13/38.29 Found (((fun (P:Type) (x13:((x1 x5)->(((x1 x7)->False)->P)))=> (((((and_rect (x1 x5)) ((x1 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.39/65.55 Found (((fun (P:Type) (x13:((x1 x5)->(((x1 x7)->False)->P)))=> (((((and_rect (x1 x5)) ((x1 x7)->False)) P) x13) x11)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) (fun (x13:(x1 x5)) (x14:((x1 x7)->False))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((Xq z)->False)) (Xq Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.39/65.55 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found (fun (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))
% 65.39/65.55 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 65.39/65.55 Found (and_rect10 (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.55 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.55 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found (fun (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))
% 65.39/65.56 Found (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 65.39/65.56 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.56 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.56 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.56 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.56 Found (fun (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.56 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))
% 65.39/65.56 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 65.39/65.57 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.57 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.57 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.57 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.57 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.57 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.57 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.57 Found (fun (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.57 Found (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))
% 65.39/65.58 Found (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 65.39/65.58 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.58 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.58 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.58 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.39/65.58 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.58 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.58 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found (fun (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of ((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))
% 65.39/65.59 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 65.39/65.59 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.39/65.59 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found (fun (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))
% 65.39/65.59 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 65.39/65.59 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.59 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found (fun (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.39/65.60 Found (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.39/65.60 Found (and_rect10 (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.39/65.60 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found (fun (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))
% 65.39/65.60 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 65.39/65.60 Found (and_rect10 (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.60 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.61 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.61 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.39/65.61 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.39/65.61 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.39/65.61 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.39/65.61 Found (fun (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.39/65.61 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))
% 65.39/65.61 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 65.39/65.61 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.39/65.61 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.46/65.62 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.46/65.62 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.46/65.62 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.62 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.62 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.62 Found (fun (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.62 Found (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of ((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))
% 65.46/65.62 Found (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))
% 65.46/65.63 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.63 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.63 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.63 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 Xx))) ((x6 Xy)->False))))))
% 65.46/65.63 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.63 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.63 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.63 Found (fun (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.63 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False)))))))) as proof of ((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False)))))))
% 65.46/65.64 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))))
% 65.46/65.64 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.64 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.64 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x8)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.64 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x8)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 Xx))) ((x10 Xy)->False))))))
% 65.46/65.64 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.64 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.64 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found (fun (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.46/65.65 Found (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.46/65.65 Found (and_rect10 (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.65 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found (fun (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of ((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))
% 65.46/65.65 Found (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False)))))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))
% 65.46/65.65 Found (and_rect10 (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.65 Found (((fun (P:Type) (x12:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))) (fun (x12:((and (x0 x4)) ((x0 x6)->False))) (x13:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 Xx))) ((x8 Xy)->False))))))
% 65.46/65.66 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (fun (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.46/65.66 Found (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.46/65.66 Found (and_rect10 (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (((fun (P:Type) (x12:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (((fun (P:Type) (x12:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (fun (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.46/65.66 Found (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.46/65.66 Found (and_rect10 (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.66 Found (((fun (P:Type) (x12:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found (((fun (P:Type) (x12:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x6)) ((x1 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found (fun (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.46/65.67 Found (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.46/65.67 Found (and_rect10 (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.46/65.67 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found (((fun (P:Type) (x12:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found (((fun (P:Type) (x12:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x2 x6)) ((x2 x8)->False))) (x13:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found (fun (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.68 Found (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of ((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))
% 65.52/65.68 Found (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False)))))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))
% 65.52/65.68 Found (and_rect10 (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.69 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.69 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.69 Found (((fun (P:Type) (x12:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))) (fun (x12:((and (x1 x5)) ((x1 x7)->False))) (x13:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 Xx))) ((x0 Xy)->False))))))
% 65.52/65.69 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.69 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.69 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.69 Found (fun (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.69 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))
% 65.52/65.70 Found (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 65.52/65.70 Found (and_rect10 (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (((fun (P:Type) (x12:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x6)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (fun (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))
% 65.52/65.70 Found (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 65.52/65.70 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x12) x9)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x7)->False))) (x13:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.70 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.70 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found (fun (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of ((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))
% 65.52/65.71 Found (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))
% 65.52/65.71 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 Xx))) ((x2 Xy)->False))))))
% 65.52/65.71 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))):((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found (False_rect0 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found (fun (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of ((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))
% 65.52/65.71 Found (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False)))))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))
% 65.52/65.71 Found (and_rect10 (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found ((and_rect1 ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 65.52/65.71 Found (((fun (P:Type) (x12:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x12) x10)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))) (fun (x12:((and (x0 x5)) ((x0 x8)->False))) (x13:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 Xx))) ((x4 Xy)->False))))))
% 198.05/198.34 Found x2:=??:fofType
% 198.05/198.34 Found x2 as proof of fofType
% 198.05/198.34 Found x0:=(fun (a0:fofType)=> (fofType->((fofType->Prop)->False))):(fofType->Prop)
% 198.05/198.34 Found x0 as proof of (fofType->Prop)
% 198.05/198.34 Found ((x00 x2) x0) as proof of False
% 198.05/198.34 Found ((x00 x2) x0) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x3))=> ((x00 x2) x0)) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x3))=> ((x00 x2) x0)) as proof of ((x0 x3)->False)
% 198.05/198.34 Found x0:(fofType->Prop)
% 198.05/198.34 Found x0 as proof of (fofType->Prop)
% 198.05/198.34 Found x5:=??:fofType
% 198.05/198.34 Found x5 as proof of fofType
% 198.05/198.34 Found ((x00 x5) x0) as proof of False
% 198.05/198.34 Found ((x00 x5) x0) as proof of False
% 198.05/198.34 Found (fun (x00:(x2 x5))=> ((x00 x5) x0)) as proof of False
% 198.05/198.34 Found (fun (x00:(x2 x5))=> ((x00 x5) x0)) as proof of ((x2 x5)->False)
% 198.05/198.34 Found x5:=??:(fofType->Prop)
% 198.05/198.34 Found x5 as proof of (fofType->Prop)
% 198.05/198.34 Found x7:=??:fofType
% 198.05/198.34 Found x7 as proof of fofType
% 198.05/198.34 Found ((x00 x7) x5) as proof of False
% 198.05/198.34 Found ((x00 x7) x5) as proof of False
% 198.05/198.34 Found (fun (x00:(x4 x7))=> ((x00 x7) x5)) as proof of False
% 198.05/198.34 Found (fun (x00:(x4 x7))=> ((x00 x7) x5)) as proof of ((x4 x7)->False)
% 198.05/198.34 Found x4:=??:fofType
% 198.05/198.34 Found x4 as proof of fofType
% 198.05/198.34 Found x3:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 198.05/198.34 Found x3 as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 198.05/198.34 Found x0:=(fun (a0:fofType)=> ((fofType->Prop)->(fofType->(forall (x2:(fofType->Prop)), (((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))->False))))):(fofType->Prop)
% 198.05/198.34 Found x0 as proof of (fofType->Prop)
% 198.05/198.34 Found (((x000 x0) x4) x3) as proof of False
% 198.05/198.34 Found ((((fun (x10:(fofType->Prop)) (x40:fofType)=> (((x00 x10) x40) x2)) x0) x4) x3) as proof of False
% 198.05/198.34 Found ((((fun (x10:(fofType->Prop)) (x40:fofType)=> (((x00 x10) x40) x2)) x0) x4) x3) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x5))=> ((((fun (x10:(fofType->Prop)) (x40:fofType)=> (((x00 x10) x40) x2)) x0) x4) x3)) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x5))=> ((((fun (x10:(fofType->Prop)) (x40:fofType)=> (((x00 x10) x40) x2)) x0) x4) x3)) as proof of ((x0 x5)->False)
% 198.05/198.34 Found x5:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x4 Xx)) ((x4 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 198.05/198.34 Found x5 as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x4 Xx)) ((x4 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 198.05/198.34 Found x3:=??:fofType
% 198.05/198.34 Found x3 as proof of fofType
% 198.05/198.34 Found x0:=(fun (a0:fofType)=> ((fofType->Prop)->(forall (x4:(fofType->Prop)), (fofType->(((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x4 Xx)) ((x4 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))->False))))):(fofType->Prop)
% 198.05/198.34 Found x0 as proof of (fofType->Prop)
% 198.05/198.34 Found (((x000 x0) x3) x5) as proof of False
% 198.05/198.34 Found ((((fun (x10:(fofType->Prop))=> ((x00 x10) x4)) x0) x3) x5) as proof of False
% 198.05/198.34 Found ((((fun (x10:(fofType->Prop))=> ((x00 x10) x4)) x0) x3) x5) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x3))=> ((((fun (x10:(fofType->Prop))=> ((x00 x10) x4)) x0) x3) x5)) as proof of False
% 198.05/198.34 Found (fun (x00:(x0 x3))=> ((((fun (x10:(fofType->Prop))=> ((x00 x10) x4)) x0) x3) x5)) as proof of ((x0 x3)->False)
% 198.05/198.34 Found x3:=??:fofType
% 198.05/198.34 Found x3 as proof of fofType
% 202.56/202.85 Found x3:=??:fofType
% 202.56/202.85 Found x3 as proof of fofType
% 202.56/202.85 Found ((x00 x3) x3) as proof of False
% 202.56/202.85 Found ((x00 x3) x3) as proof of False
% 202.56/202.85 Found (fun (x00:(x1 z))=> ((x00 x3) x3)) as proof of False
% 202.56/202.85 Found (fun (x00:(x1 z))=> ((x00 x3) x3)) as proof of ((x1 z)->False)
% 202.56/202.85 Found x9:=??:fofType
% 202.56/202.85 Found x9 as proof of fofType
% 202.56/202.85 Found x2:(fofType->Prop)
% 202.56/202.85 Found x2 as proof of (fofType->Prop)
% 202.56/202.85 Found ((x00 x9) x2) as proof of False
% 202.56/202.85 Found ((x00 x9) x2) as proof of False
% 202.56/202.85 Found (fun (x00:(x6 x9))=> ((x00 x9) x2)) as proof of False
% 202.56/202.85 Found (fun (x00:(x6 x9))=> ((x00 x9) x2)) as proof of ((x6 x9)->False)
% 202.56/202.85 Found x3:=??:fofType
% 202.56/202.85 Found x3 as proof of fofType
% 202.56/202.85 Found x3:=??:fofType
% 202.56/202.85 Found x3 as proof of fofType
% 202.56/202.85 Found ((x00 x3) x3) as proof of False
% 202.56/202.85 Found ((x00 x3) x3) as proof of False
% 202.56/202.85 Found (fun (x00:(x1 z))=> ((x00 x3) x3)) as proof of False
% 202.56/202.85 Found (fun (x00:(x1 z))=> ((x00 x3) x3)) as proof of ((x1 z)->False)
% 202.56/202.85 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found (fun (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False)))))) as proof of ((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False)))))
% 202.56/202.85 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False)))))) as proof of (((and (x0 x7)) ((x0 x9)->False))->((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))))
% 202.56/202.85 Found (and_rect10 (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x6))) ((x4 Xy)->False))))
% 202.56/202.85 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 202.56/202.85 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 202.56/202.85 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.56/202.85 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.65/202.86 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found (fun (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of ((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False)))))
% 202.65/202.86 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))))
% 202.65/202.86 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.86 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.65/202.88 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False)))))
% 202.65/202.88 Found (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))))
% 202.65/202.88 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.65/202.88 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found (fun (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of ((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False)))))
% 202.65/202.89 Found (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x9)->False))->((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))))
% 202.65/202.89 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.65/202.89 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False)))))
% 202.65/202.89 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))))
% 202.65/202.89 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.65/202.89 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.65/202.89 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.65/202.89 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False)))))
% 202.68/202.90 Found (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))))
% 202.68/202.90 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.68/202.90 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.90 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.90 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.90 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.91 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False)))))
% 202.68/202.91 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))))
% 202.68/202.91 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.91 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.91 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.91 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.68/202.91 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.91 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.91 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.91 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.91 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False)))))
% 202.68/202.92 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))))
% 202.68/202.92 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.92 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.92 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.92 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.68/202.92 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.92 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.92 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.92 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.92 Found (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False)))))
% 202.68/202.92 Found (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))))
% 202.68/202.93 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.93 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.93 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.93 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.68/202.93 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.68/202.93 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.68/202.93 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.68/202.93 Found (fun (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.68/202.93 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False)))))) as proof of ((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False)))))
% 202.68/202.93 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))))
% 202.72/202.94 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.72/202.94 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.72/202.94 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.72/202.94 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x8 x10))) ((x8 Xy)->False))))
% 202.72/202.94 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.72/202.94 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.72/202.94 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.72/202.94 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.72/202.94 Found (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 202.72/202.94 Found (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 202.72/202.94 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 202.73/202.95 Found (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 202.73/202.95 Found (and_rect10 (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.95 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False)))))
% 202.73/202.96 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))))
% 202.73/202.96 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x10))) ((x6 Xy)->False))))
% 202.73/202.96 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 202.73/202.96 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 202.73/202.96 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.96 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 202.73/202.97 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 202.73/202.97 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.97 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.98 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 202.73/202.98 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False)))))
% 202.73/202.98 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of (((and (x0 x7)) ((x0 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))))
% 202.73/202.98 Found (and_rect10 (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.98 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.73/202.99 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False)))))
% 202.73/202.99 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))))
% 202.73/202.99 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/202.99 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.73/203.00 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False)))))
% 202.73/203.00 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))))
% 202.73/203.00 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.73/203.00 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False)))))
% 202.79/203.01 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))))
% 202.79/203.01 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.79/203.01 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.01 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False)))))
% 202.79/203.02 Found (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))))
% 202.79/203.02 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.79/203.02 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.02 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.02 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found (fun (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False)))))) as proof of ((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False)))))
% 202.79/203.03 Found (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x9)->False))->((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))))
% 202.79/203.03 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x6 x8))) ((x6 Xy)->False))))
% 202.79/203.03 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.03 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.03 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.03 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.04 Found (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False)))))
% 202.79/203.04 Found (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of (((and (x2 x7)) ((x2 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))))
% 202.79/203.04 Found (and_rect10 (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.04 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.04 Found (((fun (P:Type) (x13:(((and (x2 x7)) ((x2 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x2 x7)) ((x2 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.04 Found (((fun (P:Type) (x13:(((and (x2 x7)) ((x2 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x2 x7)) ((x2 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.79/203.04 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.04 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.04 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.04 Found (fun (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.04 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of ((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False)))))
% 202.79/203.05 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x9)->False))->((x2 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))))
% 202.79/203.05 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.05 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.05 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.05 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x2 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x2 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x2 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x8))) ((x4 Xy)->False))))
% 202.79/203.05 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False)))))
% 202.79/203.05 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))))
% 202.79/203.05 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 202.79/203.05 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.79/203.05 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.79/203.05 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.79/203.05 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.79/203.05 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False)))))
% 202.79/203.05 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))))
% 202.84/203.06 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.06 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.06 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.06 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.06 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.06 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.06 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.06 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.06 Found (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False)))))
% 202.84/203.06 Found (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of (((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))))
% 202.84/203.06 Found (and_rect10 (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.07 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.07 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.07 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.07 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.07 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.07 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.07 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.07 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False)))))
% 202.84/203.07 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))))
% 202.84/203.07 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.07 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False)))))
% 202.84/203.08 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))))
% 202.84/203.08 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.08 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.09 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.09 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x10))) ((x4 Xy)->False))))
% 202.84/203.09 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False)))))
% 202.84/203.09 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))))
% 202.84/203.09 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.09 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.10 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.10 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False)))))
% 202.84/203.10 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))))
% 202.84/203.10 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.10 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (fun (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of ((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False)))))
% 202.84/203.11 Found (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))))
% 202.84/203.11 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.11 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x8)->False))->((x4 x8)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x8)->False))) (x4 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x8)->False))) (x14:(x4 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x10))) ((x0 Xy)->False))))
% 202.84/203.12 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False)))))
% 202.84/203.12 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))))
% 202.84/203.12 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x10))) ((x2 Xy)->False))))
% 202.84/203.12 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False)))))
% 202.84/203.12 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False)))))) as proof of (((and (x0 x7)) ((x0 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))))
% 202.84/203.12 Found (and_rect10 (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.12 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x6))) ((x2 Xy)->False))))
% 202.84/203.14 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found (fun (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False)))))) as proof of ((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False)))))
% 202.84/203.14 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))))
% 202.84/203.14 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x8)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x8)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x90)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x10 x12))) ((x10 Xy)->False))))
% 202.84/203.14 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found (fun (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of ((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False)))))
% 202.92/203.15 Found (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of (((and (x2 x7)) ((x2 x9)->False))->((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))))
% 202.92/203.15 Found (and_rect10 (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found (((fun (P:Type) (x13:(((and (x2 x7)) ((x2 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x2 x7)) ((x2 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found (((fun (P:Type) (x13:(((and (x2 x7)) ((x2 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x2 x7)) ((x2 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x7)) ((x2 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.15 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False)))))
% 202.92/203.15 Found (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of (((and (x2 x6)) ((x2 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))))
% 202.92/203.15 Found (and_rect10 (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found (((fun (P:Type) (x13:(((and (x2 x6)) ((x2 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x2 x6)) ((x2 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x2 x6)) ((x2 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.92/203.15 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.15 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.15 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found (fun (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of ((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False)))))
% 202.92/203.16 Found (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))))
% 202.92/203.16 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x6)->False))->((x2 x6)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x6)->False))) (x2 x6)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x6)->False))) (x14:(x2 x6))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x8 x12))) ((x8 Xy)->False))))
% 202.92/203.16 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.16 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.16 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.16 Found (fun (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.17 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of ((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False)))))
% 202.92/203.17 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False)))))) as proof of (((and (x1 x7)) ((x1 x9)->False))->((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))))
% 202.92/203.17 Found (and_rect10 (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.17 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.17 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.17 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x4))) ((x0 Xy)->False))))
% 202.92/203.17 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.17 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.17 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.17 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.17 Found (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False)))))
% 202.92/203.18 Found (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))))
% 202.92/203.18 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.18 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.18 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.18 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.92/203.18 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.92/203.18 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.92/203.18 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.92/203.18 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.92/203.18 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False)))))
% 202.92/203.18 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))))
% 202.97/203.19 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.19 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.19 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.19 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x2 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.19 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.19 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.19 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.19 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.19 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False)))))
% 202.97/203.19 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))))
% 202.97/203.20 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.20 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.20 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.20 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x9 z)->False)) (x9 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 202.97/203.20 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False)))))
% 202.97/203.20 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of (((and (x1 x7)) ((x1 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))))
% 202.97/203.20 Found (and_rect10 (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 202.97/203.20 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.20 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.20 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.20 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.20 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False)))))
% 202.97/203.20 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))))
% 202.97/203.20 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.20 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.21 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.21 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 202.97/203.21 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found (fun (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False)))))
% 202.97/203.21 Found (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x9)->False))->((x4 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))))
% 202.97/203.21 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.21 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.22 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x9)->False))->((x4 x9)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x9)->False))) (x4 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x4 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 202.97/203.22 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False)))))
% 202.97/203.22 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))))
% 202.97/203.22 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.22 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.23 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 202.97/203.23 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found (fun (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False)))))) as proof of ((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False)))))
% 202.97/203.23 Found (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False)))))) as proof of (((and (x3 x7)) ((x3 x9)->False))->((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))))
% 202.97/203.23 Found (and_rect10 (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))) (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 202.97/203.23 Found (((fun (P:Type) (x13:(((and (x3 x7)) ((x3 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x3 x7)) ((x3 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))) (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 203.02/203.24 Found (((fun (P:Type) (x13:(((and (x3 x7)) ((x3 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x3 x7)) ((x3 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))) (fun (x13:((and (x3 x7)) ((x3 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x1 z)->False)) (x1 Xy))) (x0 x2))) ((x0 Xy)->False))))
% 203.02/203.24 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found (fun (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False)))))) as proof of ((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False)))))
% 203.02/203.24 Found (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False)))))) as proof of (((and (x0 x7)) ((x0 x9)->False))->((x5 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))))
% 203.02/203.24 Found (and_rect10 (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.24 Found (((fun (P:Type) (x13:(((and (x0 x7)) ((x0 x9)->False))->((x5 x9)->P)))=> (((((and_rect ((and (x0 x7)) ((x0 x9)->False))) (x5 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x7)) ((x0 x9)->False))) (x14:(x5 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x3 z)->False)) (x3 Xy))) (x2 x4))) ((x2 Xy)->False))))
% 203.02/203.25 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False)))))
% 203.02/203.25 Found (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False)))))) as proof of (((and (x1 x7)) ((x1 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))))
% 203.02/203.25 Found (and_rect10 (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.02/203.25 Found (((fun (P:Type) (x13:(((and (x1 x7)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x7)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x7)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x6))) ((x0 Xy)->False))))
% 203.03/203.26 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found (fun (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False)))))
% 203.03/203.26 Found (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))))
% 203.03/203.26 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x8)->False))->((x3 x8)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x8)->False))) (x3 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x8)->False))) (x14:(x3 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x7 z)->False)) (x7 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.26 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False)))))
% 203.03/203.27 Found (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False)))))) as proof of (((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))))
% 203.03/203.27 Found (and_rect10 (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found (((fun (P:Type) (x13:(((and (x0 x5)) ((x0 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x0 x5)) ((x0 x7)->False))) (x3 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x5)) ((x0 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x2 x12))) ((x2 Xy)->False))))
% 203.03/203.27 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.27 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found (fun (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of ((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False)))))
% 203.03/203.28 Found (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))))
% 203.03/203.28 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x8)->False))->((x2 x8)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x8)->False))) (x2 x8)) P) x13) x10)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x8)->False))) (x14:(x2 x8))=> ((fun (P:Type)=> ((False_rect P) x110)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x4 x12))) ((x4 Xy)->False))))
% 203.03/203.28 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found (fun (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of ((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False)))))
% 203.03/203.28 Found (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False)))))) as proof of (((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))))
% 203.03/203.28 Found (and_rect10 (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found (((fun (P:Type) (x13:(((and (x1 x5)) ((x1 x7)->False))->((x3 x7)->P)))=> (((((and_rect ((and (x1 x5)) ((x1 x7)->False))) (x3 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x5)) ((x1 x7)->False))) (x14:(x3 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x0 x12))) ((x0 Xy)->False))))
% 203.03/203.28 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.28 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.28 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.28 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.29 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False)))))
% 203.03/203.29 Found (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False)))))) as proof of (((and (x0 x6)) ((x0 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))))
% 203.03/203.29 Found (and_rect10 (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.29 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.29 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.29 Found (((fun (P:Type) (x13:(((and (x0 x6)) ((x0 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x0 x6)) ((x0 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))) (fun (x13:((and (x0 x6)) ((x0 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x2 x8))) ((x2 Xy)->False))))
% 203.03/203.29 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.29 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.29 Found ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.29 Found (fun (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.29 Found (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of ((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False)))))
% 203.03/203.30 Found (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False)))))) as proof of (((and (x1 x6)) ((x1 x9)->False))->((x3 x9)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))))
% 203.03/203.30 Found (and_rect10 (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.30 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.30 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.30 Found (((fun (P:Type) (x13:(((and (x1 x6)) ((x1 x9)->False))->((x3 x9)->P)))=> (((((and_rect ((and (x1 x6)) ((x1 x9)->False))) (x3 x9)) P) x13) x11)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))) (fun (x13:((and (x1 x6)) ((x1 x9)->False))) (x14:(x3 x9))=> ((fun (P:Type)=> ((False_rect P) x120)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x5 z)->False)) (x5 Xy))) (x0 x8))) ((x0 Xy)->False))))
% 203.03/203.30 Found False_rect00:=(False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))):((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 203.03/203.30 Found (False_rect0 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 203.03/203.30 Found ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 203.03/203.30 Found (fun (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 203.03/203.30 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of ((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False)))))
% 203.03/203.30 Found (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False)))))) as proof of (((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))))
% 228.74/228.97 Found (and_rect10 (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 228.74/228.97 Found ((and_rect1 ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 228.74/228.97 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 228.74/228.97 Found (((fun (P:Type) (x13:(((and (x0 x4)) ((x0 x7)->False))->((x2 x7)->P)))=> (((((and_rect ((and (x0 x4)) ((x0 x7)->False))) (x2 x7)) P) x13) x9)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))) (fun (x13:((and (x0 x4)) ((x0 x7)->False))) (x14:(x2 x7))=> ((fun (P:Type)=> ((False_rect P) x100)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))))) as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and ((x11 z)->False)) (x11 Xy))) (x6 x12))) ((x6 Xy)->False))))
% 228.74/228.97 Found x5:((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x0 Xx)) ((x0 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 228.74/228.97 Found x5 as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x0 Xx)) ((x0 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 228.74/228.97 Found x3:=??:(fofType->Prop)
% 228.74/228.97 Found x3 as proof of (fofType->Prop)
% 228.74/228.97 Found x7:=??:fofType
% 228.74/228.97 Found x7 as proof of fofType
% 228.74/228.97 Found (((x000 x7) x3) x5) as proof of False
% 228.74/228.97 Found ((((x00 x4) x7) x3) x5) as proof of False
% 228.74/228.97 Found ((((x00 x4) x7) x3) x5) as proof of False
% 228.74/228.97 Found (fun (x00:(x2 x7))=> ((((x00 x4) x7) x3) x5)) as proof of False
% 228.74/228.97 Found (fun (x00:(x2 x7))=> ((((x00 x4) x7) x3) x5)) as proof of ((x2 x7)->False)
% 228.74/228.97 Found x5:((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 228.74/228.97 Found x5 as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 228.74/228.97 Found x0:=(fun (a0:fofType)=> (forall (x2:(fofType->Prop)) (x4:(fofType->Prop)), (fofType->((fofType->Prop)->(((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))->(((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))->False)))))):(fofType->Prop)
% 228.74/228.97 Found x0 as proof of (fofType->Prop)
% 228.74/228.97 Found x3:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 289.60/289.90 Found x3 as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x2 Xx)) ((x2 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 289.60/289.90 Found x7:=??:fofType
% 289.60/289.90 Found x7 as proof of fofType
% 289.60/289.90 Found ((((x000 x7) x0) x3) x5) as proof of False
% 289.60/289.90 Found ((((((x00 x2) x4) x7) x0) x3) x5) as proof of False
% 289.60/289.90 Found ((((((x00 x2) x4) x7) x0) x3) x5) as proof of False
% 289.60/289.90 Found (fun (x00:(x0 x7))=> ((((((x00 x2) x4) x7) x0) x3) x5)) as proof of False
% 289.60/289.90 Found (fun (x00:(x0 x7))=> ((((((x00 x2) x4) x7) x0) x3) x5)) as proof of ((x0 x7)->False)
% 289.60/289.90 Found x7:=??:fofType
% 289.60/289.90 Found x7 as proof of fofType
% 289.60/289.90 Found x3:=??:(fofType->Prop)
% 289.60/289.90 Found x3 as proof of (fofType->Prop)
% 289.60/289.90 Found x5:((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 289.60/289.90 Found x5 as proof of ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (x4 Xy))) ((x4 z)->False))))))
% 289.60/289.90 Found x2:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 289.60/289.90 Found x2 as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False))))))))
% 289.60/289.90 Found ((((x000 x2) x7) x3) x5) as proof of False
% 289.60/289.90 Found (((((fun (x20:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False)))))))))=> (((x00 x1) x20) x4)) x2) x7) x3) x5) as proof of False
% 289.60/289.90 Found (((((fun (x20:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False)))))))))=> (((x00 x1) x20) x4)) x2) x7) x3) x5) as proof of False
% 289.60/289.90 Found (fun (x00:(x0 x7))=> (((((fun (x20:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False)))))))))=> (((x00 x1) x20) x4)) x2) x7) x3) x5)) as proof of False
% 289.60/289.90 Found (fun (x00:(x0 x7))=> (((((fun (x20:((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x1 Xx)) ((x1 Xy)->False))) (Xq Xy))) ((Xq z)->False)))))))))=> (((x00 x1) x20) x4)) x2) x7) x3) x5)) as proof of ((x0 x7)->False)
% 289.60/289.90 Found x5:=??:fofType
% 289.60/289.90 Found x5 as proof of fofType
% 289.60/289.90 Found x5:=??:fofType
% 289.60/289.90 Found x5 as proof of fofType
% 289.60/289.90 Found ((x00 x5) x5) as proof of False
% 289.60/289.90 Found ((x00 x5) x5) as proof of False
% 289.60/289.90 Found (fun (x00:(x3 z))=> ((x00 x5) x5)) as proof of False
% 289.60/289.90 Found (fun (x00:(x3 z))=> ((x00 x5) x5)) as proof of ((x3 z)->False)
% 289.60/289.90 Found x5:=??:fofType
% 289.60/289.90 Found x5 as proof of fofType
% 289.60/289.90 Found x5:=??:fofType
% 289.60/289.90 Found x5 as proof of fofType
% 289.60/289.90 Found ((x00 x5) x5) as proof of False
% 289.60/289.90 Found ((x00 x5) x5) as proof of False
% 289.60/289.90 Found (fun (x00:(x3 z))=> ((x00 x5) x5)) as proof of False
% 289.60/289.90 Found (fun (x00:(x3 z))=> ((x00 x5) x5)) as proof of ((x3 z)->False)
% 289.60/289.90 Found x10:=??:fofType
% 289.60/289.90 Found x10 as proof of fofType
% 289.60/289.90 Found x9:=??:(fofType->Prop)
% 289.60/289.90 Found x9 as proof of (fofType->Prop)
% 289.60/289.90 Found ((x00 x9) x10) as proof of False
% 289.60/289.90 Found ((x00 x9) x10) as proof of False
% 289.60/289.90 Found (fun (x00:(x8 x11))=> ((x00 x9) x10)) as proof of False
% 289.60/289.90 Found (fun (x00:(x8 x11))=> ((x00 x9) x10)) as proof of ((x8 x11)->False)
% 289.60/289.90 Found x7:((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x0 x6)) ((x0 Xy)->False))) (x2 Xy))) ((x2 z)->False))))
% 289.60/289.90 Found x7 as proof of ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((and (x0 x6)) ((x0 Xy)->False))) (x2 Xy))) ((x2 z)->False))))
% 289.60/289.90 Found x8:=??:fofType
% 289.60/289.90 Found x8 as proof of fofType
% 289.60/289.90 Found x2:(fofType->Prop)
% 289.60/289.90 Found x2 as proof of (fofType->Prop)
% 289.60/289.90 Found (((x000 x2) x8) x7) as proof of False
% 289.60/289.90 Found ((((x00 x
%------------------------------------------------------------------------------