%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV090^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n184.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:33:43 EDT 2014

% Result   : Timeout 300.08s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV090^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n184.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 08:00:21 CDT 2014
% % CPUTime  : 300.08 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0xa04a28>, <kernel.Type object at 0xa04f80>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (((ex (a->(a->Prop))) (fun (Xr:(a->(a->Prop)))=> ((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((Xr Xx) Xw))))) (forall (Xx:a), (((Xr Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((Xr Xx) Xy)) ((Xr Xy) Xz))->((Xr Xx) Xz))))))->((ex ((a->Prop)->((a->Prop)->Prop))) (fun (R:((a->Prop)->((a->Prop)->Prop)))=> ((and ((and (forall (Xx:(a->Prop)), ((ex (a->Prop)) (fun (Xw:(a->Prop))=> ((R Xx) Xw))))) (forall (Xx:(a->Prop)), (((R Xx) Xx)->False)))) (forall (Xx:(a->Prop)) (Xy:(a->Prop)) (Xz:(a->Prop)), (((and ((R Xx) Xy)) ((R Xy) Xz))->((R Xx) Xz))))))) of role conjecture named cTHM165_pme
% Conjecture to prove = (((ex (a->(a->Prop))) (fun (Xr:(a->(a->Prop)))=> ((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((Xr Xx) Xw))))) (forall (Xx:a), (((Xr Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((Xr Xx) Xy)) ((Xr Xy) Xz))->((Xr Xx) Xz))))))->((ex ((a->Prop)->((a->Prop)->Prop))) (fun (R:((a->Prop)->((a->Prop)->Prop)))=> ((and ((and (forall (Xx:(a->Prop)), ((ex (a->Prop)) (fun (Xw:(a->Prop))=> ((R Xx) Xw))))) (forall (Xx:(a->Prop)), (((R Xx) Xx)->False)))) (forall (Xx:(a->Prop)) (Xy:(a->Prop)) (Xz:(a->Prop)), (((and ((R Xx) Xy)) ((R Xy) Xz))->((R Xx) Xz))))))):Prop
% Parameter a_DUMMY:a.
% We need to prove ['(((ex (a->(a->Prop))) (fun (Xr:(a->(a->Prop)))=> ((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((Xr Xx) Xw))))) (forall (Xx:a), (((Xr Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((Xr Xx) Xy)) ((Xr Xy) Xz))->((Xr Xx) Xz))))))->((ex ((a->Prop)->((a->Prop)->Prop))) (fun (R:((a->Prop)->((a->Prop)->Prop)))=> ((and ((and (forall (Xx:(a->Prop)), ((ex (a->Prop)) (fun (Xw:(a->Prop))=> ((R Xx) Xw))))) (forall (Xx:(a->Prop)), (((R Xx) Xx)->False)))) (forall (Xx:(a->Prop)) (Xy:(a->Prop)) (Xz:(a->Prop)), (((and ((R Xx) Xy)) ((R Xy) Xz))->((R Xx) Xz)))))))']
% Parameter a:Type.
% Trying to prove (((ex (a->(a->Prop))) (fun (Xr:(a->(a->Prop)))=> ((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((Xr Xx) Xw))))) (forall (Xx:a), (((Xr Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((Xr Xx) Xy)) ((Xr Xy) Xz))->((Xr Xx) Xz))))))->((ex ((a->Prop)->((a->Prop)->Prop))) (fun (R:((a->Prop)->((a->Prop)->Prop)))=> ((and ((and (forall (Xx:(a->Prop)), ((ex (a->Prop)) (fun (Xw:(a->Prop))=> ((R Xx) Xw))))) (forall (Xx:(a->Prop)), (((R Xx) Xx)->False)))) (forall (Xx:(a->Prop)) (Xy:(a->Prop)) (Xz:(a->Prop)), (((and ((R Xx) Xy)) ((R Xy) Xz))->((R Xx) Xz)))))))
% Found x00:((x0 Xx) Xx)
% Found x00 as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> x00) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> x00) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> x00) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x1:((x0 Xx) Xx)
% Found x1 as proof of False
% Found (fun (x1:((x0 Xx) Xx))=> x1) as proof of False
% Found (fun (Xx:(a->Prop)) (x1:((x0 Xx) Xx))=> x1) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x1:((x0 Xx) Xx))=> x1) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x00:((x2 Xx) Xx)
% Found x00 as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> x00) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> x00) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> x00) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x3:((x2 Xx) Xx)
% Found x3 as proof of False
% Found (fun (x3:((x2 Xx) Xx))=> x3) as proof of False
% Found (fun (Xx:(a->Prop)) (x3:((x2 Xx) Xx))=> x3) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x3:((x2 Xx) Xx))=> x3) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x00:((x4 Xx) Xx)
% Found x00 as proof of False
% Found (fun (x00:((x4 Xx) Xx))=> x00) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> x00) as proof of (((x4 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> x00) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x5:((x4 Xx) Xx)
% Found x5 as proof of False
% Found (fun (x5:((x4 Xx) Xx))=> x5) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x4 Xx) Xx))=> x5) as proof of (not ((x4 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x4 Xx) Xx))=> x5) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x00:((x6 Xx) Xx)
% Found x00 as proof of False
% Found (fun (x00:((x6 Xx) Xx))=> x00) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x6 Xx) Xx))=> x00) as proof of (((x6 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x6 Xx) Xx))=> x00) as proof of (forall (Xx:(a->Prop)), (((x6 Xx) Xx)->False))
% Found x0000:=(x000 x2):False
% Found (x000 x2) as proof of False
% Found ((x00 x1) x2) as proof of False
% Found ((x00 x1) x2) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x0000:=(x000 x3):False
% Found (x000 x3) as proof of False
% Found ((x00 x4) x3) as proof of False
% Found ((x00 x4) x3) as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x300:=(x30 x2):False
% Found (x30 x2) as proof of False
% Found ((x3 x1) x2) as proof of False
% Found ((x3 x1) x2) as proof of False
% Found (fun (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x7:((x6 Xx) Xx)
% Found x7 as proof of False
% Found (fun (x7:((x6 Xx) Xx))=> x7) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x6 Xx) Xx))=> x7) as proof of (not ((x6 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x6 Xx) Xx))=> x7) as proof of (forall (Xx:(a->Prop)), (not ((x6 Xx) Xx)))
% Found x500:=(x50 x3):False
% Found (x50 x3) as proof of False
% Found ((x5 x4) x3) as proof of False
% Found ((x5 x4) x3) as proof of False
% Found (fun (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x0000:=(x000 x2):False
% Found (x000 x2) as proof of False
% Found ((x00 x1) x2) as proof of False
% Found ((x00 x1) x2) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((x00 x1) x2)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x0000:=(x000 x3):False
% Found (x000 x3) as proof of False
% Found ((x00 x4) x3) as proof of False
% Found ((x00 x4) x3) as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((x00 x4) x3)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x0000:=(x000 x5):False
% Found (x000 x5) as proof of False
% Found ((x00 x6) x5) as proof of False
% Found ((x00 x6) x5) as proof of False
% Found (fun (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of (((x4 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x300:=(x30 x2):False
% Found (x30 x2) as proof of False
% Found ((x3 x1) x2) as proof of False
% Found ((x3 x1) x2) as proof of False
% Found (fun (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x3:((x0 Xx) Xx))=> ((x3 x1) x2)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x500:=(x50 x3):False
% Found (x50 x3) as proof of False
% Found ((x5 x4) x3) as proof of False
% Found ((x5 x4) x3) as proof of False
% Found (fun (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x2 Xx) Xx))=> ((x5 x4) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x700:=(x70 x5):False
% Found (x70 x5) as proof of False
% Found ((x7 x6) x5) as proof of False
% Found ((x7 x6) x5) as proof of False
% Found (fun (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of (not ((x4 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found (((x000 x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (((x0 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (((x0 Xx0) Xx0)->False)))
% Found x6:(forall (Xx:a), (((x0 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x0 Xx0) Xx0)->False))
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found (((x50 x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found (fun (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x0000:=(x000 x5):False
% Found (x000 x5) as proof of False
% Found ((x00 x6) x5) as proof of False
% Found ((x00 x6) x5) as proof of False
% Found (fun (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of (((x4 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x4 Xx) Xx))=> ((x00 x6) x5)) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (not ((x0 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (not ((x0 Xx0) Xx0))))
% Found x6:(forall (Xx:a), (not ((x0 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x0 Xx0) Xx0)))
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found (fun (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x700:=(x70 x5):False
% Found (x70 x5) as proof of False
% Found ((x7 x6) x5) as proof of False
% Found ((x7 x6) x5) as proof of False
% Found (fun (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of (not ((x4 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x4 Xx) Xx))=> ((x7 x6) x5)) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found (((x000 x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (((x0 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (((x0 Xx0) Xx0)->False)))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x6:(forall (Xx:a), (((x0 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x0 Xx0) Xx0)->False))
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found (((x50 x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found (fun (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (not ((x0 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (not ((x0 Xx0) Xx0))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x6:(forall (Xx:a), (not ((x0 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x0 Xx0) Xx0)))
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found (fun (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x6:(forall (Xx:a), (((x1 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x1 Xx0) Xx0)->False))
% Found (((((x000 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found (((x000 x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found ((((x00 x1) x4) x3) x2) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((x00 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (((x0 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (((x0 Xx0) Xx0)->False)))
% Found x6:(forall (Xx:a), (((x0 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x0 Xx0) Xx0)->False))
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found ((((x00 x6) x4) x5) x3) as proof of False
% Found (fun (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (((x2 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x2 Xx) Xx))=> ((((x00 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x6:(forall (Xx:a), (not ((x1 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x1 Xx0) Xx0)))
% Found (((((x70 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found (((x50 x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found ((((x5 x1) x4) x3) x2) as proof of False
% Found (fun (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of False
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x5:((x0 Xx) Xx))=> ((((x5 x1) x4) x3) x2)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x0 Xx) Xy)) ((x0 Xy) Xz))->((x0 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x0 Xx0) Xy)) ((x0 Xy) Xz))->((x0 Xx0) Xz)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x0 Xx) Xw))))) (forall (Xx:a), (not ((x0 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x0 Xx0) Xw))))) (forall (Xx0:a), (not ((x0 Xx0) Xx0))))
% Found x6:(forall (Xx:a), (not ((x0 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x0 Xx0) Xx0)))
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found ((((x7 x6) x4) x5) x3) as proof of False
% Found (fun (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (not ((x2 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x2 Xx) Xx))=> ((((x7 x6) x4) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x6:(forall (Xx:a), (((x1 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x1 Xx0) Xx0)->False))
% Found (((((x000 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x6:(forall (Xx:a), (not ((x1 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x1 Xx0) Xx0)))
% Found (((((x70 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x00:((x8 Xx0) Xx0)
% Found x00 as proof of False
% Found (fun (x00:((x8 Xx0) Xx0))=> x00) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x8 Xx0) Xx0))=> x00) as proof of (((x8 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x8 Xx0) Xx0))=> x00) as proof of (forall (Xx:(a->Prop)), (((x8 Xx) Xx)->False))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x6:(forall (Xx:a), (((x1 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x1 Xx0) Xx0)->False))
% Found (((((x000 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x9:((x8 Xx0) Xx0)
% Found x9 as proof of False
% Found (fun (x9:((x8 Xx0) Xx0))=> x9) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x8 Xx0) Xx0))=> x9) as proof of (not ((x8 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x8 Xx0) Xx0))=> x9) as proof of (forall (Xx:(a->Prop)), (not ((x8 Xx) Xx)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x6:(forall (Xx:a), (not ((x1 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x1 Xx0) Xx0)))
% Found (((((x70 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (((x1 Xx) Xx)->False)))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (((x1 Xx0) Xx0)->False)))
% Found x6:(forall (Xx:a), (((x1 Xx) Xx)->False))
% Found x6 as proof of (forall (Xx0:a), (((x1 Xx0) Xx0)->False))
% Found (((((x000 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x00 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (((x0 Xx) Xx)->False)
% Found (fun (Xx:(a->Prop)) (x00:((x0 Xx) Xx))=> ((((((x00 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x5:(forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))
% Found x5 as proof of (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))
% Found x4:(forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz)))
% Found x4 as proof of (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz)))
% Found x2:((and ((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))) (forall (Xx:a) (Xy:a) (Xz:a), (((and ((x1 Xx) Xy)) ((x1 Xy) Xz))->((x1 Xx) Xz))))
% Found x2 as proof of ((and ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))) (forall (Xx0:a) (Xy:a) (Xz:a), (((and ((x1 Xx0) Xy)) ((x1 Xy) Xz))->((x1 Xx0) Xz))))
% Found x3:((and (forall (Xx:a), ((ex a) (fun (Xw:a)=> ((x1 Xx) Xw))))) (forall (Xx:a), (not ((x1 Xx) Xx))))
% Found x3 as proof of ((and (forall (Xx0:a), ((ex a) (fun (Xw:a)=> ((x1 Xx0) Xw))))) (forall (Xx0:a), (not ((x1 Xx0) Xx0))))
% Found x6:(forall (Xx:a), (not ((x1 Xx) Xx)))
% Found x6 as proof of (forall (Xx0:a), (not ((x1 Xx0) Xx0)))
% Found (((((x70 x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found ((((((x7 x1) x6) x4) x2) x5) x3) as proof of False
% Found (fun (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of False
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (not ((x0 Xx) Xx))
% Found (fun (Xx:(a->Prop)) (x7:((x0 Xx) Xx))=> ((((((x7 x1) x6) x4) x2) x5) x3)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x0000:=(x000 x8):False
% Found (x000 x8) as proof of False
% Found (((x00 Xx) x7) x8) as proof of False
% Found (((x00 Xx) x7) x8) as proof of False
% Found (fun (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of (((x6 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x6 Xx) Xx)->False))
% Found x900:=(x90 x8):False
% Found (x90 x8) as proof of False
% Found (((x9 Xx) x7) x8) as proof of False
% Found (((x9 Xx) x7) x8) as proof of False
% Found (fun (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of (not ((x6 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x6 Xx) Xx)))
% Found x0000:=(x000 x8):False
% Found (x000 x8) as proof of False
% Found (((x00 Xx) x7) x8) as proof of False
% Found (((x00 Xx) x7) x8) as proof of False
% Found (fun (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of (((x6 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x6 Xx0) Xx0))=> (((x00 Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x6 Xx) Xx)->False))
% Found x000000:=(x00000 x8):False
% Found (x00000 x8) as proof of False
% Found (((x0000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (((x4 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x900:=(x90 x8):False
% Found (x90 x8) as proof of False
% Found (((x9 Xx) x7) x8) as proof of False
% Found (((x9 Xx) x7) x8) as proof of False
% Found (fun (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of (not ((x6 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x6 Xx0) Xx0))=> (((x9 Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x6 Xx) Xx)))
% Found x90000:=(x9000 x8):False
% Found (x9000 x8) as proof of False
% Found (((x900 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (not ((x4 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x00000000:=(x0000000 x8):False
% Found (x0000000 x8) as proof of False
% Found (((x000000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x00000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x0000 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (((x2 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x000000:=(x00000 x8):False
% Found (x00000 x8) as proof of False
% Found (((x0000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (((x4 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x9000000:=(x900000 x8):False
% Found (x900000 x8) as proof of False
% Found (((x90000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x9000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x900 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (not ((x2 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x90000:=(x9000 x8):False
% Found (x9000 x8) as proof of False
% Found (((x900 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (not ((x4 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x000000:=(x00000 x8):False
% Found (x00000 x8) as proof of False
% Found (((x0000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (((x4 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x4 Xx) Xx)->False))
% Found x00000000:=(x0000000 x8):False
% Found (x0000000 x8) as proof of False
% Found (((x000000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x00000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x0000 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (((x2 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x90000:=(x9000 x8):False
% Found (x9000 x8) as proof of False
% Found (((x900 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (not ((x4 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x4 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x4 Xx) Xx)))
% Found x9000000:=(x900000 x8):False
% Found (x900000 x8) as proof of False
% Found (((x90000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x9000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x900 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (not ((x2 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (((x0 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x00000000:=(x0000000 x8):False
% Found (x0000000 x8) as proof of False
% Found (((x000000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x00000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x0000 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (((x2 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (not ((x0 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x9000000:=(x900000 x8):False
% Found (x900000 x8) as proof of False
% Found (((x90000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x9000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x900 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (not ((x2 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (((x0 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x00000000:=(x0000000 x8):False
% Found (x0000000 x8) as proof of False
% Found (((x000000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x00000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x0000 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x000 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (((x2 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x00 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (((x2 Xx) Xx)->False))
% Found x50:=(x5 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x5 Xx0) as proof of (((x0 Xx0) x8)->((x6 Xx) x7))
% Found (x5 Xx0) as proof of (((x0 Xx0) x8)->((x6 Xx) x7))
% Found x00:((x10 Xx1) Xx1)
% Found x00 as proof of False
% Found (fun (x00:((x10 Xx1) Xx1))=> x00) as proof of False
% Found (fun (Xx1:(a->Prop)) (x00:((x10 Xx1) Xx1))=> x00) as proof of (((x10 Xx1) Xx1)->False)
% Found (fun (Xx1:(a->Prop)) (x00:((x10 Xx1) Xx1))=> x00) as proof of (forall (Xx:(a->Prop)), (((x10 Xx) Xx)->False))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (not ((x0 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x9000000:=(x900000 x8):False
% Found (x900000 x8) as proof of False
% Found (((x90000 Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x9000 Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x900 Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> ((((x90 Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8) as proof of False
% Found (fun (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (not ((x2 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x2 Xx0) Xx0))=> ((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((fun (Xx1:a) (x70:a) (x80:((x0 Xx1) x70))=> (((((x9 x6) Xx1) x70) x80) x5)) Xx1) x70) x80) x4)) Xx1) x70) x80) x3)) Xx) x7) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x2 Xx) Xx)))
% Found x50:=(x5 Xx0):(not ((x0 Xx0) Xx0))
% Found (x5 Xx0) as proof of (((x0 Xx0) x8)->((x6 Xx) x7))
% Found (x5 Xx0) as proof of (((x0 Xx0) x8)->((x6 Xx) x7))
% Found x11:((x10 Xx1) Xx1)
% Found x11 as proof of False
% Found (fun (x11:((x10 Xx1) Xx1))=> x11) as proof of False
% Found (fun (Xx1:(a->Prop)) (x11:((x10 Xx1) Xx1))=> x11) as proof of (not ((x10 Xx1) Xx1))
% Found (fun (Xx1:(a->Prop)) (x11:((x10 Xx1) Xx1))=> x11) as proof of (forall (Xx:(a->Prop)), (not ((x10 Xx) Xx)))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (((x0 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (not ((x0 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x60:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x7))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x7))
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x5))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x5))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (((x0 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x7))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x7))
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x5))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x4 Xx) x5))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (not ((x0 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x7))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x7))
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x0000:=(x000 x7):False
% Found (x000 x7) as proof of False
% Found (((x00 Xx) x6) x7) as proof of False
% Found (((x00 Xx) x6) x7) as proof of False
% Found (fun (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of False
% Found (fun (Xx1:(a->Prop)) (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of (((x8 Xx1) Xx1)->False)
% Found (fun (Xx1:(a->Prop)) (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of (forall (Xx:(a->Prop)), (((x8 Xx) Xx)->False))
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x5))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x5))
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x3))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x3))
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (((x0 Xx0) Xx0)->False)
% Found (fun (Xx0:(a->Prop)) (x00:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (((x0 Xx) Xx)->False))
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x7))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x7))
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x1100:=(x110 x10):False
% Found (x110 x10) as proof of False
% Found (((x11 Xx0) x9) x10) as proof of False
% Found (((x11 Xx0) x9) x10) as proof of False
% Found (fun (x11:((x8 Xx1) Xx1))=> (((x11 Xx0) x9) x10)) as proof of False
% Found (fun (Xx1:(a->Prop)) (x11:((x8 Xx1) Xx1))=> (((x11 Xx0) x9) x10)) as proof of (not ((x8 Xx1) Xx1))
% Found (fun (Xx1:(a->Prop)) (x11:((x8 Xx1) Xx1))=> (((x11 Xx0) x9) x10)) as proof of (forall (Xx:(a->Prop)), (not ((x8 Xx) Xx)))
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x5))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x5))
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x3))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->((x2 Xx) x3))
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x8:((x1 Xx) x7)
% Instantiate: Xx1:=Xx:a;Xx:=x7:a
% Found x8 as proof of ((x1 Xx1) Xx1)
% Found (x60 x8) as proof of False
% Found ((x6 Xx) x8) as proof of False
% Found (fun (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of False
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (not ((x0 Xx0) Xx0))
% Found (fun (Xx0:(a->Prop)) (x9:((x0 Xx0) Xx0))=> ((x6 Xx) x8)) as proof of (forall (Xx:(a->Prop)), (not ((x0 Xx) Xx)))
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x7))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x7))
% Found x70:=(x7 Xx0):(not ((x10 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(not ((x10 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x10 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x1 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(not ((x0 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(not ((x0 Xx0) Xx0))
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x3))
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x3))
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x5))
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x5))
% Found x70:=(x7 Xx0):(((x2 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x2 Xx0) x8)->((x0 Xx) x1))
% Found (x7 Xx0) as proof of (((x2 Xx0) x8)->((x0 Xx) x1))
% Found x70:=(x7 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x0000:=(x000 x7):False
% Found (x000 x7) as proof of False
% Found (((x00 Xx) x6) x7) as proof of False
% Found (((x00 Xx) x6) x7) as proof of False
% Found (fun (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of False
% Found (fun (Xx1:(a->Prop)) (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of (((x8 Xx1) Xx1)->False)
% Found (fun (Xx1:(a->Prop)) (x00:((x8 Xx1) Xx1))=> (((x00 Xx) x6) x7)) as proof of (forall (Xx:(a->Prop)), (((x8 Xx) Xx)->False))
% Found x60:=(x6 Xx0):(not ((x0 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(not ((x1 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x60:=(x6 Xx0):(not ((x1 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x7))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x7))
% Found x60:=(x6 Xx0):(not ((x1 Xx0) Xx0))
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x7 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x0 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x0 Xx0) x8)->False)
% Found x600:=(x60 Xx0):(((x10 Xx0) Xx0)->False)
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found (x60 Xx0) as proof of (((x10 Xx0) x8)->False)
% Found x61:=(x6 Xx0):(((x1 Xx0) Xx0)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found (x6 Xx0) as proof of (((x1 Xx0) x8)->False)
% Found x70:=(x7 Xx0):(not ((x2 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x2 Xx0) x8)->((x0 Xx) x1))
% Found (x7 Xx0) as proof of (((x2 Xx0) x8)->((x0 Xx) x1))
% Found x70:=(x7 Xx0):(not ((x1 Xx0) Xx0))
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)->((x0 Xx) x5))
% Found (x7 Xx0) as proof of (((x1 Xx0) x8)-
% EOF
%------------------------------------------------------------------------------