%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : GRA028^1 : TPTP v6.1.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n180.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 13:22:12 EDT 2014

% Result   : Unknown 131.81s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRA028^1 : TPTP v6.1.0. Released v3.6.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n180.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 07:37:26 CDT 2014
% % CPUTime  : 131.81 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (forall (G:((Prop->Prop)->((Prop->Prop)->Prop))), ((forall (Xx:(Prop->Prop)) (Xy:(Prop->Prop)), (((G Xx) Xy)->((G Xy) Xx)))->((or ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((G Xx1) Xx0))))))))) ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx2:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx3:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp1:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp2:((Prop->Prop)->Prop))=> ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((Xp0 Xx2)->False))) ((Xp0 Xx3)->False))) ((Xp1 Xx0)->False))) (Xp1 Xx1))) ((Xp1 Xx2)->False))) ((Xp1 Xx3)->False))) ((Xp2 Xx0)->False))) ((Xp2 Xx1)->False))) (Xp2 Xx2))) ((Xp2 Xx3)->False))) (((G Xx1) Xx0)->False))) (((G Xx2) Xx0)->False))) (((G Xx2) Xx1)->False))) (((G Xx3) Xx0)->False))) (((G Xx3) Xx1)->False))) (((G Xx3) Xx2)->False))))))))))))))))))) of role conjecture named ramsey_u_2_4_4
% Conjecture to prove = (forall (G:((Prop->Prop)->((Prop->Prop)->Prop))), ((forall (Xx:(Prop->Prop)) (Xy:(Prop->Prop)), (((G Xx) Xy)->((G Xy) Xx)))->((or ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((G Xx1) Xx0))))))))) ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx2:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx3:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp1:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp2:((Prop->Prop)->Prop))=> ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((Xp0 Xx2)->False))) ((Xp0 Xx3)->False))) ((Xp1 Xx0)->False))) (Xp1 Xx1))) ((Xp1 Xx2)->False))) ((Xp1 Xx3)->False))) ((Xp2 Xx0)->False))) ((Xp2 Xx1)->False))) (Xp2 Xx2))) ((Xp2 Xx3)->False))) (((G Xx1) Xx0)->False))) (((G Xx2) Xx0)->False))) (((G Xx2) Xx1)->False))) (((G Xx3) Xx0)->False))) (((G Xx3) Xx1)->False))) (((G Xx3) Xx2)->False))))))))))))))))))):Prop
% We need to prove ['(forall (G:((Prop->Prop)->((Prop->Prop)->Prop))), ((forall (Xx:(Prop->Prop)) (Xy:(Prop->Prop)), (((G Xx) Xy)->((G Xy) Xx)))->((or ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((G Xx1) Xx0))))))))) ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx2:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx3:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp1:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp2:((Prop->Prop)->Prop))=> ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((Xp0 Xx2)->False))) ((Xp0 Xx3)->False))) ((Xp1 Xx0)->False))) (Xp1 Xx1))) ((Xp1 Xx2)->False))) ((Xp1 Xx3)->False))) ((Xp2 Xx0)->False))) ((Xp2 Xx1)->False))) (Xp2 Xx2))) ((Xp2 Xx3)->False))) (((G Xx1) Xx0)->False))) (((G Xx2) Xx0)->False))) (((G Xx2) Xx1)->False))) (((G Xx3) Xx0)->False))) (((G Xx3) Xx1)->False))) (((G Xx3) Xx2)->False)))))))))))))))))))']
% Trying to prove (forall (G:((Prop->Prop)->((Prop->Prop)->Prop))), ((forall (Xx:(Prop->Prop)) (Xy:(Prop->Prop)), (((G Xx) Xy)->((G Xy) Xx)))->((or ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((G Xx1) Xx0))))))))) ((ex (Prop->Prop)) (fun (Xx0:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx1:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx2:(Prop->Prop))=> ((ex (Prop->Prop)) (fun (Xx3:(Prop->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp0:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp1:((Prop->Prop)->Prop))=> ((ex ((Prop->Prop)->Prop)) (fun (Xp2:((Prop->Prop)->Prop))=> ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and ((and (Xp0 Xx0)) ((Xp0 Xx1)->False))) ((Xp0 Xx2)->False))) ((Xp0 Xx3)->False))) ((Xp1 Xx0)->False))) (Xp1 Xx1))) ((Xp1 Xx2)->False))) ((Xp1 Xx3)->False))) ((Xp2 Xx0)->False))) ((Xp2 Xx1)->False))) (Xp2 Xx2))) ((Xp2 Xx3)->False))) (((G Xx1) Xx0)->False))) (((G Xx2) Xx0)->False))) (((G Xx2) Xx1)->False))) (((G Xx3) Xx0)->False))) (((G Xx3) Xx1)->False))) (((G Xx3) Xx2)->False)))))))))))))))))))
% Found x00:(x2 x1)
% Found x00 as proof of False
% Found (fun (x00:(x2 x1))=> x00) as proof of False
% Found (fun (x00:(x2 x1))=> x00) as proof of ((x2 x1)->False)
% Found x00:(x2 x1)
% Found x00 as proof of False
% Found (fun (x00:(x2 x1))=> x00) as proof of False
% Found (fun (x00:(x2 x1))=> x00) as proof of ((x2 x1)->False)
% Found x00:(x6 x3)
% Found x00 as proof of False
% Found (fun (x00:(x6 x3))=> x00) as proof of False
% Found (fun (x00:(x6 x3))=> x00) as proof of ((x6 x3)->False)
% Found x00:(x6 x3)
% Found x00 as proof of False
% Found (fun (x00:(x6 x3))=> x00) as proof of False
% Found (fun (x00:(x6 x3))=> x00) as proof of ((x6 x3)->False)
% Found x00:(x6 x1)
% Found (fun (x00:(x6 x1))=> x00) as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of ((x6 x1)->False)
% Found x00:(x6 x1)
% Found x00 as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of ((x6 x1)->False)
% Found x00:(x6 x1)
% Found (fun (x00:(x6 x1))=> x00) as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of ((x6 x1)->False)
% Found x00:(x6 x1)
% Found x00 as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of False
% Found (fun (x00:(x6 x1))=> x00) as proof of ((x6 x1)->False)
% Found x00:(x6 x0)
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x6 x0)
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x6 x0)
% Found x00 as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x6 x0)
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x6 x0)
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x6 x0)
% Found x00 as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of False
% Found (fun (x00:(x6 x0))=> x00) as proof of ((x6 x0)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x00:(x5 x3)
% Found x00 as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of False
% Found (fun (x00:(x5 x3))=> x00) as proof of ((x5 x3)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x5 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x5 x3))=> (x00 x6)) as proof of ((x5 x3)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x4:=??:((Prop->Prop)->Prop)
% Found x4 as proof of ((Prop->Prop)->Prop)
% Found (x00 x4) as proof of False
% Found (x00 x4) as proof of False
% Found (fun (x00:(x5 x3))=> (x00 x4)) as proof of False
% Found (fun (x00:(x5 x3))=> (x00 x4)) as proof of ((x5 x3)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x4:=??:((Prop->Prop)->Prop)
% Found x4 as proof of ((Prop->Prop)->Prop)
% Found (x00 x4) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x4)) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x4)) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x00:(x5 x2)
% Found x00 as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of False
% Found (fun (x00:(x5 x2))=> x00) as proof of ((x5 x2)->False)
% Found x4:=??:((Prop->Prop)->Prop)
% Found x4 as proof of ((Prop->Prop)->Prop)
% Found (x00 x4) as proof of False
% Found (x00 x4) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x4)) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x4)) as proof of ((x5 x2)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x5)) as proof of ((x5 x2)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x2))=> (x00 x5)) as proof of ((x5 x2)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x00:(x5 x0)
% Found x00 as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of False
% Found (fun (x00:(x5 x0))=> x00) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of False
% Found (fun (x00:(x5 x0))=> (x00 x5)) as proof of ((x5 x0)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x00:(x4 x3)
% Found x00 as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of False
% Found (fun (x00:(x4 x3))=> x00) as proof of ((x4 x3)->False)
% Found x5:=??:((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=??:((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=??:((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=(fun (a0:(Prop->Prop))=> (((Prop->Prop)->Prop)->False)):((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found (x00 x5) as proof of False
% Found (x00 x5) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x5)) as proof of ((x4 x3)->False)
% Found x5:=??:((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found x5:=??:((Prop->Prop)->Prop)
% Found x5 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x5) x5) as proof of False
% Found ((x00 x5) x5) as proof of False
% Found (fun (x00:(x4 x3))=> ((x00 x5) x5)) as proof of False
% Found (fun (x00:(x4 x3))=> ((x00 x5) x5)) as proof of ((x4 x3)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x3))=> (x00 x6)) as proof of ((x4 x3)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x3))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x3))=> ((x00 x6) x6)) as proof of ((x4 x3)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x00:(x4 x2)
% Found x00 as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of False
% Found (fun (x00:(x4 x2))=> x00) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of ((x4 x2)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x2))=> (x00 x6)) as proof of ((x4 x2)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x2))=> ((x00 x6) x6)) as proof of ((x4 x2)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x00:(x4 x1)
% Found x00 as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of False
% Found (fun (x00:(x4 x1))=> x00) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=(fun (a0:(Prop->Prop))=> False):((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found (x00 x6) as proof of False
% Found (x00 x6) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of False
% Found (fun (x00:(x4 x1))=> (x00 x6)) as proof of ((x4 x1)->False)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found x6:=??:((Prop->Prop)->Prop)
% Found x6 as proof of ((Prop->Prop)->Prop)
% Found ((x00 x6) x6) as proof of False
% Found ((x00 x6) x6) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of False
% Found (fun (x00:(x4 x1))=> ((x00 x6) x6)) as proof of ((x4 x1)->False)
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------