TSTP Solution File: PHI008^4 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : PHI008^4 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:08:33 EDT 2016
% Result : Timeout 291.46s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI008^4 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.22 % Computer : n013.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 16091.75MB
% 0.02/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Mar 25 13:59:57 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.02/0.24 Python 2.7.8
% 0.08/0.51 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b79589f8878>, <kernel.Type object at 0x2b7958cbf368>) of role type named ty_n_t__QML____S5U__O__092__060mu__062
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring qML_mu:Type
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b79589f8170>, <kernel.Type object at 0x2b7958cbf998>) of role type named ty_n_t__QML____S5U__Oi
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring qML_i:Type
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b79589f81b8>, <kernel.DependentProduct object at 0x2b7958cbf680>) of role type named sy_c_Scott__S5U_OG
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring scott_G:(qML_mu->(qML_i->Prop))
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b79589f81b8>, <kernel.DependentProduct object at 0x2b7958cbf2d8>) of role type named sy_c_Scott__S5U_ONE_001t__QML____S5U__O__092__060mu__062
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring scott_NE_QML_mu:(qML_mu->(qML_i->Prop))
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b7958cbf368>, <kernel.DependentProduct object at 0x2b7958cbf200>) of role type named sy_c_Scott__S5U_OP
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring scott_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop))
% 0.08/0.51 FOF formula (<kernel.Constant object at 0x2b7958cbf2d8>, <kernel.DependentProduct object at 0x2b7958cbf680>) of role type named sy_c_Scott__S5U_Oess_001t__QML____S5U__O__092__060mu__062
% 0.08/0.51 Using role type
% 0.08/0.51 Declaring scott_ess_QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))
% 0.08/0.51 FOF formula (((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))) of role axiom named fact_0_G__def
% 0.08/0.51 A new axiom: (((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W)))))
% 0.08/0.51 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1)))) of role axiom named fact_1_A4
% 0.08/0.51 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1))))
% 0.08/0.51 FOF formula (qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X3:qML_mu)=> ((scott_G X3) V))))) of role axiom named fact_2_T3
% 0.08/0.51 A new axiom: (qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X3:qML_mu)=> ((scott_G X3) V)))))
% 0.08/0.51 FOF formula (forall (X_1:qML_i), ((scott_P scott_G) X_1)) of role axiom named fact_3_A3
% 0.08/0.51 A new axiom: (forall (X_1:qML_i), ((scott_P scott_G) X_1))
% 0.08/0.51 FOF formula (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))) of role axiom named fact_4_ess__def
% 0.08/0.51 A new axiom: (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2))))))))
% 0.08/0.51 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X2 Xb) V3)->((Xa Xb) V3))))->((scott_P Xa) W2))) of role axiom named fact_5_A2
% 0.08/0.51 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X2 Xb) V3)->((Xa Xb) V3))))->((scott_P Xa) W2)))
% 0.08/0.51 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))) of role axiom named fact_6_A1b
% 0.08/0.51 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)))
% 0.08/0.51 FOF formula (forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1)) of role axiom named fact_7_A5
% 0.08/0.51 A new axiom: (forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1))
% 0.08/0.51 FOF formula (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False))) of role axiom named fact_8_A1a
% 3.12/3.35 A new axiom: (forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False)))
% 3.12/3.35 FOF formula (forall (W2:qML_i) (X2:qML_mu), (((scott_G X2) W2)->(((scott_ess_QML_mu scott_G) X2) W2))) of role axiom named fact_9_T2
% 3.12/3.35 A new axiom: (forall (W2:qML_i) (X2:qML_mu), (((scott_G X2) W2)->(((scott_ess_QML_mu scott_G) X2) W2)))
% 3.12/3.35 FOF formula (((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) of role axiom named fact_10_NE__def
% 3.12/3.35 A new axiom: (((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2))))))))
% 3.12/3.35 FOF formula (forall (W3:qML_i) (X3:(qML_i->Prop)), ((or ((X3 W3)->False)) (forall (V3:qML_i), (X3 V3)))) of role conjecture named conj_0
% 3.12/3.35 Conjecture to prove = (forall (W3:qML_i) (X3:(qML_i->Prop)), ((or ((X3 W3)->False)) (forall (V3:qML_i), (X3 V3)))):Prop
% 3.12/3.35 Parameter qML_mu_DUMMY:qML_mu.
% 3.12/3.35 Parameter qML_i_DUMMY:qML_i.
% 3.12/3.35 We need to prove ['(forall (W3:qML_i) (X3:(qML_i->Prop)), ((or ((X3 W3)->False)) (forall (V3:qML_i), (X3 V3))))']
% 3.12/3.35 Parameter qML_mu:Type.
% 3.12/3.35 Parameter qML_i:Type.
% 3.12/3.35 Parameter scott_G:(qML_mu->(qML_i->Prop)).
% 3.12/3.35 Parameter scott_NE_QML_mu:(qML_mu->(qML_i->Prop)).
% 3.12/3.35 Parameter scott_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop)).
% 3.12/3.35 Parameter scott_ess_QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop))).
% 3.12/3.35 Axiom fact_0_G__def:(((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))).
% 3.12/3.35 Axiom fact_1_A4:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P X2) W2)->(forall (X_1:qML_i), ((scott_P X2) X_1)))).
% 3.12/3.35 Axiom fact_2_T3:(qML_i->(forall (V:qML_i), ((ex qML_mu) (fun (X3:qML_mu)=> ((scott_G X3) V))))).
% 3.12/3.35 Axiom fact_3_A3:(forall (X_1:qML_i), ((scott_P scott_G) X_1)).
% 3.12/3.35 Axiom fact_4_ess__def:(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))).
% 3.12/3.35 Axiom fact_5_A2:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((scott_P X2) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X2 Xb) V3)->((Xa Xb) V3))))->((scott_P Xa) W2))).
% 3.12/3.35 Axiom fact_6_A1b:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), ((((scott_P X2) W2)->False)->((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))).
% 3.12/3.35 Axiom fact_7_A5:(forall (X_1:qML_i), ((scott_P scott_NE_QML_mu) X_1)).
% 3.12/3.35 Axiom fact_8_A1a:(forall (W2:qML_i) (X2:(qML_mu->(qML_i->Prop))), (((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->(((scott_P X2) W2)->False))).
% 3.12/3.35 Axiom fact_9_T2:(forall (W2:qML_i) (X2:qML_mu), (((scott_G X2) W2)->(((scott_ess_QML_mu scott_G) X2) W2))).
% 3.12/3.35 Axiom fact_10_NE__def:(((eq (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))).
% 3.12/3.35 Trying to prove (forall (W3:qML_i) (X3:(qML_i->Prop)), ((or ((X3 W3)->False)) (forall (V3:qML_i), (X3 V3))))
% 3.12/3.35 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 3.12/3.35 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 3.12/3.35 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 3.12/3.35 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 3.12/3.35 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 3.12/3.35 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b)
% 3.12/3.35 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b)
% 3.12/3.35 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b)
% 3.12/3.35 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 9.92/10.12 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b)
% 9.92/10.12 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b)
% 9.92/10.12 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b)
% 9.92/10.12 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 9.92/10.12 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 9.92/10.12 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 9.92/10.12 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b)
% 9.92/10.12 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b)
% 9.92/10.12 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b)
% 9.92/10.12 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 9.92/10.12 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 9.92/10.12 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 9.92/10.12 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b)
% 9.92/10.12 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 9.92/10.12 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b)
% 9.92/10.12 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b)
% 9.92/10.12 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b)
% 9.92/10.12 Found (classic (not (X3 W3))) as proof of (P b)
% 9.92/10.12 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 9.92/10.12 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P b)
% 9.92/10.12 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b)
% 9.92/10.12 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P b)
% 19.34/19.55 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 19.34/19.55 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 19.34/19.55 Found (eq_ref0 b) as proof of (((eq Prop) b) (forall (V3:qML_i), (X3 V3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V3:qML_i), (X3 V3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V3:qML_i), (X3 V3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V3:qML_i), (X3 V3)))
% 19.34/19.55 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 19.34/19.55 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 19.34/19.55 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 19.34/19.55 Found (eq_ref0 b) as proof of (((eq Prop) b) ((X3 W3)->False))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((X3 W3)->False))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((X3 W3)->False))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((X3 W3)->False))
% 19.34/19.55 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 19.34/19.55 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 19.34/19.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 19.34/19.55 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (X3 W3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (X3 W3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (X3 W3)))
% 19.34/19.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (X3 W3)))
% 19.34/19.55 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found x0:((X20 Xb) V3)
% 19.34/19.55 Found x0 as proof of (((X2 Xb) V3)->False)
% 19.34/19.55 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 19.34/19.55 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 19.34/19.55 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 19.34/19.55 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 19.34/19.55 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found x0:((X20 Xb) V3)
% 19.34/19.55 Found x0 as proof of (((X2 Xb) V3)->False)
% 19.34/19.55 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 19.34/19.55 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 19.34/19.55 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 19.34/19.55 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 19.34/19.55 Found x0:((scott_P X2) W2)
% 19.34/19.55 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 19.34/19.55 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 19.34/19.55 Found x0:((scott_P X2) W2)
% 19.34/19.55 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 19.34/19.55 Found x0 as proof of ((scott_P X20) W2)
% 19.34/19.55 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 19.34/19.55 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 19.34/19.55 Found ((fact_8_A1a01 x0) (fact_3_A3 W2)) as proof of False
% 19.34/19.55 Found (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2)) as proof of False
% 24.11/24.32 Found (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2))) as proof of False
% 24.11/24.32 Found (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2))) as proof of (((scott_P X2) W2)->False)
% 24.11/24.32 Found (fact_6_A1b00 (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 24.11/24.32 Found ((fact_6_A1b0 X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 24.11/24.32 Found (((fact_6_A1b W2) X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 24.11/24.32 Found (((fact_6_A1b W2) X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_G) x0) (fact_3_A3 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 24.11/24.32 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 24.11/24.32 Found (eq_ref0 b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 24.11/24.32 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 24.11/24.32 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 24.11/24.32 Found x0 as proof of ((scott_P X20) W2)
% 24.11/24.32 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found x0:((X20 Xb) V3)
% 24.11/24.32 Found x0 as proof of (((X2 Xb) V3)->False)
% 24.11/24.32 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 24.11/24.32 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 24.11/24.32 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 24.11/24.32 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 24.11/24.32 Instantiate: W20:=W2:qML_i
% 24.11/24.32 Found x0 as proof of ((scott_P X2) W20)
% 24.11/24.32 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 24.11/24.32 Found x0:((X20 Xb) V3)
% 24.11/24.32 Found x0 as proof of (((X2 Xb) V3)->False)
% 24.11/24.32 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 24.11/24.32 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 24.11/24.32 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 24.11/24.32 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 24.11/24.32 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 24.11/24.32 Found (eq_ref0 b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 24.11/24.32 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 24.11/24.32 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 24.11/24.32 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 24.11/24.32 Found x0 as proof of ((scott_P X20) W2)
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 24.11/24.32 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 24.11/24.32 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 24.11/24.32 Instantiate: W20:=W2:qML_i
% 24.11/24.32 Found x0 as proof of ((scott_P X2) W20)
% 24.11/24.32 Found x0:((scott_P X2) W2)
% 26.76/26.99 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 26.76/26.99 Found x0 as proof of ((scott_P X20) W2)
% 26.76/26.99 Found x0:((scott_P X2) W2)
% 26.76/26.99 Instantiate: W20:=W2:qML_i
% 26.76/26.99 Found x0 as proof of ((scott_P X2) W20)
% 26.76/26.99 Found x10:=(x1 x0):False
% 26.76/26.99 Found (x1 x0) as proof of False
% 26.76/26.99 Found (x1 x0) as proof of False
% 26.76/26.99 Found (fun (x1:((X2 Xb) V3))=> (x1 x0)) as proof of False
% 26.76/26.99 Found (fun (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X2 Xb) V3)->False)
% 26.76/26.99 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 26.76/26.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 26.76/26.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 26.76/26.99 Found ((conj00 (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 26.76/26.99 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 26.76/26.99 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 26.76/26.99 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 26.76/26.99 Found (fact_5_A2000 ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 26.76/26.99 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 26.76/26.99 Found (((fact_5_A20 scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 26.76/26.99 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 26.76/26.99 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 26.76/26.99 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 26.76/26.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 26.76/26.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 26.76/26.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 26.76/26.99 Found x0:((X20 Xb) V3)
% 26.76/26.99 Found x0 as proof of (((X2 Xb) V3)->False)
% 26.76/26.99 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 26.76/26.99 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 29.85/30.11 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 29.85/30.11 Found (eq_ref0 b) as proof of (((eq qML_i) b) V3)
% 29.85/30.11 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 29.85/30.11 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 29.85/30.11 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 29.85/30.11 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 29.85/30.11 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 29.85/30.11 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 29.85/30.11 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 29.85/30.11 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 29.85/30.11 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found x0:((scott_P X2) W2)
% 29.85/30.11 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 29.85/30.11 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 29.85/30.11 Found x0:((scott_P X2) W2)
% 29.85/30.11 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 29.85/30.11 Found x0 as proof of ((scott_P X20) W2)
% 29.85/30.11 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found ((fact_8_A1a01 x0) (fact_7_A5 W2)) as proof of False
% 29.85/30.11 Found (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2)) as proof of False
% 29.85/30.11 Found (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2))) as proof of False
% 29.85/30.11 Found (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2))) as proof of (((scott_P X2) W2)->False)
% 29.85/30.11 Found (fact_6_A1b00 (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 29.85/30.11 Found ((fact_6_A1b0 X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 29.85/30.11 Found (((fact_6_A1b W2) X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 29.85/30.11 Found (((fact_6_A1b W2) X2) (fun (x0:((scott_P X2) W2))=> (((fact_8_A1a0 scott_NE_QML_mu) x0) (fact_7_A5 W2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 29.85/30.11 Found x0:((X20 Xb) V3)
% 29.85/30.11 Found x0 as proof of (((X2 Xb) V3)->False)
% 29.85/30.11 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 29.85/30.11 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 29.85/30.11 Found x0:((scott_P X2) W2)
% 29.85/30.11 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 29.85/30.11 Found x0 as proof of ((scott_P X20) W2)
% 29.85/30.11 Found x0:((scott_P X2) W2)
% 29.85/30.11 Instantiate: W20:=W2:qML_i
% 29.85/30.11 Found x0 as proof of ((scott_P X2) W20)
% 29.85/30.11 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 29.85/30.11 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 29.85/30.11 Found x0:((X20 Xb) V3)
% 29.85/30.11 Found x0 as proof of (((X2 Xb) V3)->False)
% 29.85/30.11 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 29.85/30.11 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 29.85/30.11 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 32.65/32.86 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 32.65/32.86 Found (eq_ref0 b) as proof of (((eq qML_i) b) V3)
% 32.65/32.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 32.65/32.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 32.65/32.86 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) V3)
% 32.65/32.86 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 32.65/32.86 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 32.65/32.86 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 32.65/32.86 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 32.65/32.86 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 32.65/32.86 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 32.65/32.86 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 32.65/32.86 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 32.65/32.86 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 32.65/32.86 Found x0:((scott_P X2) W2)
% 32.65/32.86 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 32.65/32.86 Found x0 as proof of ((scott_P X20) W2)
% 32.65/32.86 Found x0:((scott_P X2) W2)
% 32.65/32.86 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 32.65/32.86 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 32.65/32.86 Found x0:((X20 Xb) V3)
% 32.65/32.86 Found x0 as proof of (((X2 Xb) V3)->False)
% 32.65/32.86 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 32.65/32.86 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 32.65/32.86 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 32.65/32.86 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 32.65/32.86 Found x0:((scott_P X2) W2)
% 32.65/32.86 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 32.65/32.86 Found x0 as proof of ((scott_P X20) W2)
% 32.65/32.86 Found x0:((scott_P X2) W2)
% 32.65/32.86 Instantiate: W20:=W2:qML_i
% 32.65/32.86 Found x0 as proof of ((scott_P X2) W20)
% 32.65/32.86 Found x0:((scott_P X2) W2)
% 32.65/32.86 Instantiate: W20:=W2:qML_i
% 32.65/32.86 Found x0 as proof of ((scott_P X2) W20)
% 32.65/32.86 Found x10:=(x1 x0):False
% 32.65/32.86 Found (x1 x0) as proof of False
% 32.65/32.86 Found (x1 x0) as proof of False
% 32.65/32.86 Found (fun (x1:((X2 Xb) V3))=> (x1 x0)) as proof of False
% 32.65/32.86 Found (fun (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X2 Xb) V3)->False)
% 32.65/32.86 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 32.65/32.86 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 32.65/32.86 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 32.65/32.86 Found ((conj00 (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 32.65/32.86 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 32.65/32.86 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 32.65/32.86 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 32.65/32.86 Found (fact_5_A2000 ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 33.64/33.87 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 33.64/33.87 Found (((fact_5_A20 scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 33.64/33.87 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 33.64/33.87 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 33.64/33.87 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 33.64/33.87 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 33.64/33.87 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 33.64/33.87 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 33.64/33.87 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 33.64/33.87 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 33.64/33.87 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 33.64/33.87 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 33.64/33.87 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 33.64/33.87 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 33.64/33.87 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 33.64/33.87 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 35.95/36.21 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 35.95/36.21 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of (P a)
% 35.95/36.21 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 35.95/36.21 Found (classic (not (X3 W3))) as proof of (P a)
% 35.95/36.21 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 35.95/36.21 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 35.95/36.21 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 35.95/36.21 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 35.95/36.21 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 35.95/36.21 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P a)
% 35.95/36.21 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P a)
% 35.95/36.21 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 35.95/36.21 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P a)
% 43.75/43.92 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 43.75/43.92 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 43.75/43.92 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 43.75/43.92 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) a)
% 43.75/43.92 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P a)
% 43.75/43.92 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 43.75/43.92 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found x0:((X20 Xb) V3)
% 43.75/43.92 Found x0 as proof of (((X2 Xb) V3)->False)
% 43.75/43.92 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 43.75/43.92 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 43.75/43.92 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 43.75/43.92 Found x0:((X20 Xb) V3)
% 43.75/43.92 Found x0 as proof of (((X2 Xb) V3)->False)
% 43.75/43.92 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 43.75/43.92 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found x0:((scott_P X2) W2)
% 43.75/43.92 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 43.75/43.92 Found x0 as proof of ((scott_P X20) W2)
% 43.75/43.92 Found x0:((scott_P X2) W2)
% 43.75/43.92 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 43.75/43.92 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 43.75/43.92 Found x0:((scott_P X2) W2)
% 43.75/43.92 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 43.75/43.92 Found x0 as proof of ((scott_P X20) W2)
% 43.75/43.92 Found x0:((scott_P X2) W2)
% 43.75/43.92 Instantiate: W20:=W2:qML_i
% 43.75/43.92 Found x0 as proof of ((scott_P X2) W20)
% 43.75/43.92 Found x0:((scott_P X2) W2)
% 43.75/43.92 Instantiate: W20:=W2:qML_i
% 43.75/43.92 Found x0 as proof of ((scott_P X2) W20)
% 43.75/43.92 Found x10:=(x1 x0):False
% 43.75/43.92 Found (x1 x0) as proof of False
% 43.75/43.92 Found (x1 x0) as proof of False
% 43.75/43.92 Found (fun (x1:((X2 Xb) V3))=> (x1 x0)) as proof of False
% 43.75/43.92 Found (fun (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X2 Xb) V3)->False)
% 43.75/43.92 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 43.75/43.92 Found ((conj00 (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 43.75/43.92 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 43.75/43.92 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 43.75/43.92 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 47.55/47.74 Found (fact_5_A2000 ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 47.55/47.74 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 47.55/47.74 Found (((fact_5_A20 scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 47.55/47.74 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 47.55/47.74 Found ((((fact_5_A2 W2) scott_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_G) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_G Xb) V3)->(((X2 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_G Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 47.55/47.74 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 47.55/47.74 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found x0:((X20 Xb) V3)
% 47.55/47.74 Found x0 as proof of (((X2 Xb) V3)->False)
% 47.55/47.74 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 47.55/47.74 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 47.55/47.74 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 47.55/47.74 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 47.55/47.74 Found x0:((scott_P X2) W2)
% 47.55/47.74 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 47.55/47.74 Found x0 as proof of ((scott_P X20) W2)
% 47.55/47.74 Found x0:((scott_P X2) W2)
% 47.55/47.74 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 47.55/47.74 Found x0 as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 47.55/47.74 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 47.55/47.74 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 47.55/47.74 Found x0:((X20 Xb) V3)
% 47.55/47.74 Found x0 as proof of (((X2 Xb) V3)->False)
% 47.55/47.74 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 47.55/47.74 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 47.55/47.74 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 47.55/47.74 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 47.55/47.74 Found x0:((scott_P X2) W2)
% 47.55/47.74 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 47.55/47.74 Found x0 as proof of ((scott_P X20) W2)
% 47.55/47.74 Found x0:((scott_P X2) W2)
% 47.55/47.74 Instantiate: W20:=W2:qML_i
% 47.55/47.74 Found x0 as proof of ((scott_P X2) W20)
% 47.55/47.74 Found x0:((scott_P X2) W2)
% 47.55/47.74 Instantiate: W20:=W2:qML_i
% 47.55/47.74 Found x0 as proof of ((scott_P X2) W20)
% 49.74/49.97 Found x10:=(x1 x0):False
% 49.74/49.97 Found (x1 x0) as proof of False
% 49.74/49.97 Found (x1 x0) as proof of False
% 49.74/49.97 Found (fun (x1:((X2 Xb) V3))=> (x1 x0)) as proof of False
% 49.74/49.97 Found (fun (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X2 Xb) V3)->False)
% 49.74/49.97 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 49.74/49.97 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 49.74/49.97 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 49.74/49.97 Found ((conj00 (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 49.74/49.97 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 49.74/49.97 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 49.74/49.97 Found ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 49.74/49.97 Found (fact_5_A2000 ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 49.74/49.97 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 49.74/49.97 Found (((fact_5_A20 scott_NE_QML_mu) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_NE_QML_mu) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_NE_QML_mu Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_NE_QML_mu Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 49.74/49.97 Found ((((fact_5_A2 W2) scott_NE_QML_mu) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_NE_QML_mu) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_NE_QML_mu Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_NE_QML_mu Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 49.74/49.97 Found ((((fact_5_A2 W2) scott_NE_QML_mu) (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) ((((conj ((scott_P scott_NE_QML_mu) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((scott_NE_QML_mu Xb) V3)->(((X2 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V3:qML_i) (Xb:qML_mu) (x0:((scott_NE_QML_mu Xb) V3)) (x1:((X2 Xb) V3))=> (x1 x0)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)
% 49.74/49.97 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 49.74/49.97 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 49.74/49.97 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 49.74/49.97 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 49.74/49.97 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 49.74/49.97 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 57.06/57.26 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 57.06/57.26 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 57.06/57.26 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 57.06/57.26 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 57.06/57.26 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 57.06/57.26 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 57.06/57.26 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 57.06/57.26 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 57.06/57.26 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 57.06/57.26 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 57.06/57.26 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 57.06/57.26 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 57.06/57.26 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 57.06/57.26 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W2)->False)
% 57.06/57.26 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 57.06/57.26 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 57.06/57.26 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 57.06/57.26 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 57.06/57.26 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 57.06/57.26 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 57.06/57.26 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 57.06/57.26 Found x0:((X20 Xb) V3)
% 57.06/57.26 Found x0 as proof of (((X2 Xb) V3)->False)
% 57.06/57.26 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 57.06/57.26 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 57.06/57.26 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 69.75/69.94 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found fact_7_A50:=(fact_7_A5 W20):((scott_P scott_NE_QML_mu) W20)
% 69.75/69.94 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found x0:((X20 Xb) V3)
% 69.75/69.94 Found x0 as proof of (((X2 Xb) V3)->False)
% 69.75/69.94 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 69.75/69.94 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 69.75/69.94 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 69.75/69.94 Found x0 as proof of ((scott_P X21) W2)
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 69.75/69.94 Found x0 as proof of ((scott_P X20) W20)
% 69.75/69.94 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 69.75/69.94 Found x0 as proof of ((scott_P X20) W20)
% 69.75/69.94 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 69.75/69.94 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 69.75/69.94 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 69.75/69.94 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 69.75/69.94 Found x0:((X20 Xb) V3)
% 69.75/69.94 Found x0 as proof of (((X2 Xb) V3)->False)
% 69.75/69.94 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 69.75/69.94 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 69.75/69.94 Found x0 as proof of ((scott_P X21) W2)
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 69.75/69.94 Found x0 as proof of ((scott_P X20) W20)
% 69.75/69.94 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 69.75/69.94 Found x1:((X21 Xb) V3)
% 69.75/69.94 Found x1 as proof of (((X20 Xb) V3)->False)
% 69.75/69.94 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 69.75/69.94 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 69.75/69.94 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 69.75/69.94 Found x0:((scott_P X2) W2)
% 69.75/69.94 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 76.22/76.39 Found x0 as proof of ((scott_P X20) W20)
% 76.22/76.39 Found x1:((X20 Xb) V3)
% 76.22/76.39 Found x1 as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 76.22/76.39 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 76.22/76.39 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 76.22/76.39 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 76.22/76.39 Found x1:((X20 Xb) V3)
% 76.22/76.39 Found x1 as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 76.22/76.39 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 76.22/76.39 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 76.22/76.39 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 76.22/76.39 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 76.22/76.39 Found x0:((scott_P X2) W20)
% 76.22/76.39 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 76.22/76.39 Found x0 as proof of ((scott_P X20) W2)
% 76.22/76.39 Found x0:((X20 Xb) V3)
% 76.22/76.39 Found x0 as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found x1:((X21 Xb) V3)
% 76.22/76.39 Found x1 as proof of (((X20 Xb) V3)->False)
% 76.22/76.39 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 76.22/76.39 Found x1:((X20 Xb) V3)
% 76.22/76.39 Found x1 as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found x1:((X20 Xb) V3)
% 76.22/76.39 Found x1 as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 76.22/76.39 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 76.22/76.39 Found x0:((scott_P X2) W20)
% 76.22/76.39 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 76.22/76.39 Found x0 as proof of ((scott_P X20) W2)
% 76.22/76.39 Found x0:((scott_P X2) W2)
% 76.22/76.39 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 76.22/76.39 Found x0 as proof of ((scott_P X21) W2)
% 76.22/76.39 Found x0:((scott_P X2) W2)
% 76.22/76.39 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 76.22/76.39 Found x0 as proof of ((scott_P X20) W20)
% 85.98/86.16 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 85.98/86.16 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found x0:((scott_P X2) W2)
% 85.98/86.16 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 85.98/86.16 Found x0 as proof of ((scott_P X20) W20)
% 85.98/86.16 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 85.98/86.16 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found x0:((scott_P X2) W2)
% 85.98/86.16 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 85.98/86.16 Found x0 as proof of ((scott_P X21) W2)
% 85.98/86.16 Found x0:((scott_P X2) W2)
% 85.98/86.16 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 85.98/86.16 Found x0 as proof of ((scott_P X20) W20)
% 85.98/86.16 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 85.98/86.16 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 85.98/86.16 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 85.98/86.16 Found x0:((scott_P X2) W2)
% 85.98/86.16 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 85.98/86.16 Found x0 as proof of ((scott_P X20) W20)
% 85.98/86.16 Found x1:((X21 Xb) V3)
% 85.98/86.16 Found x1 as proof of (((X20 Xb) V3)->False)
% 85.98/86.16 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 85.98/86.16 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 85.98/86.16 Found x0:((scott_P X2) W20)
% 85.98/86.16 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 85.98/86.16 Found x0 as proof of ((scott_P X20) W2)
% 85.98/86.16 Found x1:((X20 Xb) V3)
% 85.98/86.16 Found x1 as proof of (((X2 Xb) V3)->False)
% 85.98/86.16 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 85.98/86.16 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 85.98/86.16 Found x1:((X20 Xb) V3)
% 85.98/86.16 Found x1 as proof of (((X2 Xb) V3)->False)
% 85.98/86.16 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 85.98/86.16 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 85.98/86.16 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 85.98/86.16 Found x1:((X21 Xb) V3)
% 85.98/86.16 Found x1 as proof of (((X20 Xb) V3)->False)
% 85.98/86.16 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 85.98/86.16 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 85.98/86.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 85.98/86.16 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 85.98/86.16 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 85.98/86.16 Found x0:((scott_P X2) W20)
% 85.98/86.16 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 85.98/86.16 Found x0 as proof of ((scott_P X20) W2)
% 85.98/86.16 Found x1:((X20 Xb) V3)
% 91.44/91.67 Found x1 as proof of (((X2 Xb) V3)->False)
% 91.44/91.67 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 91.44/91.67 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 91.44/91.67 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 91.44/91.67 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 91.44/91.67 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 91.44/91.67 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 91.44/91.67 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.44/91.67 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.44/91.67 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.44/91.67 Found x1:((X20 Xb) V3)
% 91.44/91.67 Found x1 as proof of (((X2 Xb) V3)->False)
% 91.44/91.67 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 91.44/91.67 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 91.44/91.67 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 91.52/91.68 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 91.52/91.68 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 91.52/91.68 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 91.52/91.68 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 91.52/91.68 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 91.52/91.68 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 91.52/91.68 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.52/91.68 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.52/91.68 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 91.52/91.68 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 91.52/91.68 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 91.52/91.68 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 91.52/91.68 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 91.52/91.68 Found (classic (not (X3 W3))) as proof of (P0 b0)
% 91.52/91.68 Found x30:=(x3 x2):False
% 91.52/91.68 Found (x3 x2) as proof of False
% 91.52/91.68 Found (x3 x2) as proof of False
% 91.52/91.68 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 91.52/91.68 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 91.52/91.68 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 91.52/91.68 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 91.52/91.68 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 91.52/91.68 Found ((conj01 (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 91.52/91.68 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 91.52/91.68 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 91.52/91.68 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 91.52/91.68 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 96.93/97.11 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 96.93/97.11 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 96.93/97.11 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 96.93/97.11 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 96.93/97.11 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 96.93/97.11 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 96.93/97.11 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 96.93/97.11 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 96.93/97.11 Found x30:=(x3 x2):False
% 96.93/97.11 Found (x3 x2) as proof of False
% 96.93/97.11 Found (x3 x2) as proof of False
% 96.93/97.11 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 96.93/97.11 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 96.93/97.11 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 96.93/97.11 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 96.93/97.11 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 96.93/97.11 Found ((conj01 (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 96.93/97.11 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 96.93/97.11 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 96.93/97.11 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 96.93/97.11 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 96.93/97.11 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 96.93/97.11 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 96.93/97.11 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 96.93/97.11 Found fact_0_G__def__eq_sym:=((((eq_sym (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))) fact_0_G__def):(((eq (qML_mu->(qML_i->Prop))) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))) scott_G)
% 104.12/104.28 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W)))))->(P scott_G))):Prop
% 104.12/104.28 Found fact_0_G__def__eq_sym as proof of (P0 b0)
% 104.12/104.28 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 104.12/104.28 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 104.12/104.28 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 104.12/104.28 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 104.12/104.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 104.12/104.28 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 104.12/104.28 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 104.12/104.28 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 104.12/104.28 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 104.12/104.28 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 104.12/104.28 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 104.12/104.28 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 104.12/104.28 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 104.12/104.28 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 104.12/104.28 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 104.12/104.28 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 104.12/104.28 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 104.12/104.28 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 104.12/104.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 104.12/104.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 104.12/104.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 104.12/104.28 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 104.12/104.28 Found x30:=(x3 x2):False
% 104.12/104.28 Found (x3 x2) as proof of False
% 104.12/104.28 Found (x3 x2) as proof of False
% 104.12/104.28 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 104.12/104.28 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 104.12/104.28 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 104.12/104.28 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 104.12/104.28 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 104.12/104.28 Found ((conj01 (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 104.12/104.28 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 104.12/104.28 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 109.84/109.99 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 109.84/109.99 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 109.84/109.99 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 109.84/109.99 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 109.84/109.99 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 109.84/109.99 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 109.84/109.99 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 109.84/109.99 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 109.84/109.99 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 109.84/109.99 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 109.84/109.99 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 109.84/109.99 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 109.84/109.99 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 109.84/109.99 Found fact_7_A50:=(fact_7_A5 W20):((scott_P scott_NE_QML_mu) W20)
% 109.84/109.99 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 109.84/109.99 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 109.84/109.99 Found (fact_7_A5 W20) as proof of ((scott_P X20) W20)
% 109.84/109.99 Found x30:=(x3 x2):False
% 109.84/109.99 Found (x3 x2) as proof of False
% 109.84/109.99 Found (x3 x2) as proof of False
% 109.84/109.99 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 109.84/109.99 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 109.84/109.99 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 109.84/109.99 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 109.84/109.99 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 109.84/109.99 Found ((conj01 (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 109.84/109.99 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 109.84/109.99 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 114.97/115.16 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 114.97/115.16 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 114.97/115.16 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 114.97/115.16 Found x0:((X20 Xb) V3)
% 114.97/115.16 Found x0 as proof of (((X2 Xb) V3)->False)
% 114.97/115.16 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 114.97/115.16 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 114.97/115.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 114.97/115.16 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 114.97/115.16 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 114.97/115.16 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 114.97/115.16 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 114.97/115.16 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 114.97/115.16 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 114.97/115.16 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 114.97/115.16 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 114.97/115.16 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 114.97/115.16 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 114.97/115.16 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 114.97/115.16 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 114.97/115.16 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 114.97/115.16 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 114.97/115.16 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 114.97/115.16 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 114.97/115.16 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 114.97/115.16 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 114.97/115.16 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 114.97/115.16 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 114.97/115.16 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 114.97/115.16 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 114.97/115.16 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 114.97/115.16 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 121.76/121.98 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 121.76/121.98 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found x0:((scott_P X2) W2)
% 121.76/121.98 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 121.76/121.98 Found x0 as proof of ((scott_P X21) W2)
% 121.76/121.98 Found x0:((scott_P X2) W2)
% 121.76/121.98 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 121.76/121.98 Found x0 as proof of ((scott_P X20) W20)
% 121.76/121.98 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 121.76/121.98 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 121.76/121.98 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 121.76/121.98 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 121.76/121.98 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 121.76/121.98 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 121.76/121.98 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 121.76/121.98 Found x0:((scott_P X2) W2)
% 121.76/121.98 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 121.76/121.98 Found x0 as proof of ((scott_P X20) W20)
% 121.76/121.98 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 121.76/121.98 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 121.76/121.98 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 121.76/121.98 Found (fact_3_A3 W20) as proof of ((scott_P X20) W20)
% 121.76/121.98 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 121.76/121.98 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 121.76/121.98 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 121.76/121.98 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 121.76/121.98 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 121.76/121.98 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 121.76/121.98 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 121.76/121.98 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 121.76/121.98 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 125.57/125.80 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 125.57/125.80 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 125.57/125.80 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 125.57/125.80 Found x0:((X20 Xb) V3)
% 125.57/125.80 Found x0 as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found x1:((X21 Xb) V3)
% 125.57/125.80 Found x1 as proof of (((X20 Xb) V3)->False)
% 125.57/125.80 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 125.57/125.80 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 125.57/125.80 Found x1:((X20 Xb) V3)
% 125.57/125.80 Found x1 as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found x0:((scott_P X2) W20)
% 125.57/125.80 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 125.57/125.80 Found x0 as proof of ((scott_P X20) W2)
% 125.57/125.80 Found x1:((X20 Xb) V3)
% 125.57/125.80 Found x1 as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 125.57/125.80 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 125.57/125.80 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 125.57/125.80 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 125.57/125.80 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 125.57/125.80 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 125.57/125.80 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 125.57/125.80 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 125.57/125.80 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 125.57/125.80 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 125.57/125.80 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 125.57/125.80 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 125.57/125.80 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 125.57/125.80 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 125.57/125.80 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 132.38/132.61 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 132.38/132.61 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found x0:((scott_P X2) W2)
% 132.38/132.61 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 132.38/132.61 Found x0 as proof of ((scott_P X21) W2)
% 132.38/132.61 Found x0:((scott_P X2) W2)
% 132.38/132.61 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 132.38/132.61 Found x0 as proof of ((scott_P X20) W20)
% 132.38/132.61 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 132.38/132.61 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 132.38/132.61 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 132.38/132.61 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 132.38/132.61 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 132.38/132.61 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 132.38/132.61 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 132.38/132.61 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 132.38/132.61 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 132.38/132.61 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 132.38/132.61 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 132.38/132.61 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 132.38/132.61 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 132.38/132.61 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 132.38/132.61 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 132.38/132.61 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 132.38/132.61 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 132.38/132.61 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 132.38/132.61 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 132.38/132.61 Found x0:((scott_P X2) W2)
% 132.38/132.61 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 132.38/132.61 Found x0 as proof of ((scott_P X20) W20)
% 132.38/132.61 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 132.38/132.61 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 132.38/132.61 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 132.38/132.61 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 132.38/132.61 Found x0:((scott_P X2) W20)
% 132.38/132.61 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W20:qML_i
% 132.38/132.61 Found x0 as proof of ((scott_P X20) W2)
% 132.38/132.61 Found x1:((X21 Xb) V3)
% 132.38/132.61 Found x1 as proof of (((X20 Xb) V3)->False)
% 132.38/132.61 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 132.38/132.61 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 132.38/132.61 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 132.38/132.61 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 132.38/132.61 Found x1:((X20 Xb) V3)
% 132.38/132.61 Found x1 as proof of (((X2 Xb) V3)->False)
% 140.66/140.83 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 140.66/140.83 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 140.66/140.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 140.66/140.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 140.66/140.83 Found fact_10_NE__def__eq_sym:=((((eq_sym (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) fact_10_NE__def):(((eq (qML_mu->(qML_i->Prop))) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) scott_NE_QML_mu)
% 140.66/140.83 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2))))))))->(P scott_NE_QML_mu))):Prop
% 140.66/140.83 Found fact_10_NE__def__eq_sym as proof of (P0 b0)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i), (X3 V3))):(((eq Prop) (forall (V3:qML_i), (X3 V3))) (forall (V3:qML_i), (X3 V3)))
% 140.66/140.83 Found (eq_ref0 (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 140.66/140.83 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 140.66/140.83 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 140.66/140.83 Found ((eq_ref Prop) (forall (V3:qML_i), (X3 V3))) as proof of (((eq Prop) (forall (V3:qML_i), (X3 V3))) b0)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 140.66/140.83 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found x1:((X20 Xb) V3)
% 140.66/140.83 Found x1 as proof of (((X2 Xb) V3)->False)
% 140.66/140.83 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 140.66/140.83 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 140.66/140.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 140.66/140.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 140.66/140.83 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 140.66/140.83 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 140.66/140.83 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 140.66/140.83 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 140.66/140.83 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 140.66/140.83 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 140.66/140.83 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 140.66/140.83 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 140.66/140.83 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 140.66/140.83 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 140.66/140.83 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 140.66/140.83 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.66/140.83 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.66/140.83 Found classic0:=(classic b):((or b) (not b))
% 140.66/140.83 Found (classic b) as proof of ((or b) b0)
% 140.66/140.83 Found (classic b) as proof of ((or b) b0)
% 140.66/140.83 Found (classic b) as proof of ((or b) b0)
% 145.56/145.76 Found (classic b) as proof of (P0 b0)
% 145.56/145.76 Found x30:=(x3 x2):False
% 145.56/145.76 Found (x3 x2) as proof of False
% 145.56/145.76 Found (x3 x2) as proof of False
% 145.56/145.76 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 145.56/145.76 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 145.56/145.76 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 145.56/145.76 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 145.56/145.76 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 145.56/145.76 Found ((conj01 (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 145.56/145.76 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 145.56/145.76 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 145.56/145.76 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 145.56/145.76 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 145.56/145.76 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 145.56/145.76 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 145.56/145.76 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 145.56/145.76 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 145.56/145.76 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 145.56/145.76 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 145.56/145.76 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 145.56/145.76 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 145.56/145.76 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 145.56/145.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 145.56/145.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 145.56/145.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 145.56/145.76 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 145.56/145.76 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 145.56/145.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 145.56/145.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 145.56/145.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 145.56/145.76 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 145.56/145.76 Found (eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 145.56/145.76 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 145.56/145.76 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P0 b0)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 153.46/153.61 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 153.46/153.61 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 153.46/153.61 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 153.46/153.61 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 153.46/153.61 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 153.46/153.61 Found (eq_ref0 b) as proof of (((eq qML_i) b) W2)
% 153.46/153.61 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 153.46/153.61 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 153.46/153.61 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 153.46/153.61 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 153.46/153.61 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 153.46/153.61 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 153.46/153.61 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 153.46/153.61 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 153.46/153.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 153.46/153.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 153.46/153.61 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 153.46/153.61 Found classic0:=(classic b):((or b) (not b))
% 153.46/153.61 Found (classic b) as proof of ((or b) b0)
% 153.46/153.61 Found (classic b) as proof of ((or b) b0)
% 153.46/153.61 Found (classic b) as proof of ((or b) b0)
% 153.46/153.61 Found (classic b) as proof of (P0 b0)
% 153.46/153.61 Found classic0:=(classic (forall (V3:qML_i), (X3 V3))):((or (forall (V3:qML_i), (X3 V3))) (not (forall (V3:qML_i), (X3 V3))))
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of ((or (forall (V3:qML_i), (X3 V3))) b0)
% 153.46/153.61 Found (classic (forall (V3:qML_i), (X3 V3))) as proof of (P0 b0)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 153.46/153.61 Found (eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 153.46/153.61 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 153.46/153.61 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 153.46/153.61 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 162.86/163.02 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 162.86/163.02 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 162.86/163.02 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 162.86/163.02 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 162.86/163.02 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 162.86/163.02 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 162.86/163.02 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 162.86/163.02 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 162.86/163.02 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 162.86/163.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 162.86/163.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.86/163.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.86/163.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 162.86/163.02 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 162.86/163.02 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 162.86/163.02 Found (eq_ref0 b) as proof of (((eq qML_i) b) W2)
% 162.86/163.02 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 162.86/163.02 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 162.86/163.02 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 162.86/163.02 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 162.86/163.02 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 162.86/163.02 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 162.86/163.02 Found eq_sym00:=(eq_sym0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(forall (b:Prop), ((((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)->(((eq Prop) b) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))))
% 162.86/163.02 Instantiate: b:=(forall (b:Prop), ((((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)->(((eq Prop) b) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))))):Prop
% 162.86/163.02 Found eq_sym00 as proof of b
% 162.86/163.02 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 162.86/163.02 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 162.86/163.02 Found ((conj00 (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 162.86/163.02 Found (((conj0 b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 162.86/163.02 Found ((((conj ((scott_P X20) W2)) b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 162.86/163.02 Found ((((conj ((scott_P X20) W2)) b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 162.86/163.02 Found classic0:=(classic b):((or b) (not b))
% 162.86/163.02 Found (classic b) as proof of ((or b) b0)
% 162.86/163.02 Found (classic b) as proof of ((or b) b0)
% 172.58/172.72 Found (classic b) as proof of ((or b) b0)
% 172.58/172.72 Found (classic b) as proof of (P0 b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 172.58/172.72 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 172.58/172.72 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 172.58/172.72 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 172.58/172.72 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 172.58/172.72 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 172.58/172.72 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 172.58/172.72 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 172.58/172.72 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 172.58/172.72 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 172.58/172.72 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 172.58/172.72 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 172.58/172.72 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 172.58/172.72 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.58/172.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.58/172.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.58/172.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.58/172.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 172.58/172.72 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 172.58/172.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 172.58/172.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 172.58/172.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 172.58/172.72 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 172.58/172.72 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 172.58/172.72 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 172.58/172.72 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 172.58/172.72 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 172.58/172.72 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 172.58/172.72 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 172.58/172.72 Found fact_10_NE__def__eq_sym:=((((eq_sym (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) fact_10_NE__def):(((eq (qML_mu->(qML_i->Prop))) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) scott_NE_QML_mu)
% 172.58/172.72 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2))))))))->(P scott_NE_QML_mu))):Prop
% 172.58/172.72 Found fact_10_NE__def__eq_sym as proof of (P0 b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 172.58/172.72 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 172.58/172.72 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 172.58/172.72 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 172.58/172.72 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 172.58/172.72 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 174.89/175.08 Found (eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 174.89/175.08 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 174.89/175.08 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 174.89/175.08 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 174.89/175.08 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 174.89/175.08 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 174.89/175.08 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 174.89/175.08 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 174.89/175.08 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 174.89/175.08 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 174.89/175.08 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 174.89/175.08 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 174.89/175.08 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 174.89/175.08 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 174.89/175.08 Found eq_sym00:=(eq_sym0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(forall (b:Prop), ((((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)->(((eq Prop) b) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))))
% 174.89/175.08 Instantiate: b:=(forall (b:Prop), ((((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)->(((eq Prop) b) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))))):Prop
% 174.89/175.08 Found eq_sym00 as proof of b
% 174.89/175.08 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 174.89/175.08 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 174.89/175.08 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 174.89/175.08 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 174.89/175.08 Found ((conj00 (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 174.89/175.08 Found (((conj0 b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 174.89/175.08 Found ((((conj ((scott_P X20) W2)) b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 174.89/175.08 Found ((((conj ((scott_P X20) W2)) b) (fact_3_A3 W2)) eq_sym00) as proof of (P b)
% 174.89/175.08 Found x30:=(x3 x2):False
% 174.89/175.08 Found (x3 x2) as proof of False
% 174.89/175.08 Found (x3 x2) as proof of False
% 174.89/175.08 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 174.89/175.08 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 174.89/175.08 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 174.89/175.08 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 174.89/175.08 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 174.89/175.08 Found ((conj01 (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 174.89/175.08 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 174.89/175.08 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 182.79/182.98 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 182.79/182.98 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 182.79/182.98 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_3_A3 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W2)
% 182.79/182.98 Found fact_3_A30:=(fact_3_A3 b):((scott_P scott_G) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found x0:((X20 Xb) V3)
% 182.79/182.98 Found x0 as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 182.79/182.98 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 182.79/182.98 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 182.79/182.98 Found (eq_ref0 b) as proof of (((eq qML_i) b) W2)
% 182.79/182.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 182.79/182.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 182.79/182.98 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 182.79/182.98 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 182.79/182.98 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 182.79/182.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 182.79/182.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 182.79/182.98 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 182.79/182.98 Found fact_3_A30:=(fact_3_A3 b):((scott_P scott_G) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 182.79/182.98 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 182.79/182.98 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 182.79/182.98 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 182.79/182.98 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 182.79/182.98 Found x0:((X20 Xb) V3)
% 182.79/182.98 Found x0 as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 182.79/182.98 Found x0:((X20 Xb) V3)
% 182.79/182.98 Found x0 as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 182.79/182.98 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 182.79/182.98 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of b
% 182.79/182.98 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 182.79/182.98 Found (fact_3_A3 W2) as proof of ((scott_P X2) W2)
% 182.79/182.98 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 187.80/187.94 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 187.80/187.94 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 V3):(((eq qML_i) V3) V3)
% 187.80/187.94 Found (eq_ref0 V3) as proof of (((eq qML_i) V3) b0)
% 187.80/187.94 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 187.80/187.94 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 187.80/187.94 Found ((eq_ref qML_i) V3) as proof of (((eq qML_i) V3) b0)
% 187.80/187.94 Found fact_10_NE__def__eq_sym:=((((eq_sym (qML_mu->(qML_i->Prop))) scott_NE_QML_mu) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) fact_10_NE__def):(((eq (qML_mu->(qML_i->Prop))) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2)))))))) scott_NE_QML_mu)
% 187.80/187.94 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((scott_ess_QML_mu Y) X) W)->(forall (V2:qML_i), ((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V2))))))))->(P scott_NE_QML_mu))):Prop
% 187.80/187.94 Found fact_10_NE__def__eq_sym as proof of (P0 b0)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 187.80/187.94 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 187.80/187.94 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 187.80/187.94 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 187.80/187.94 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 187.80/187.94 Found x0:((scott_P X2) b)
% 187.80/187.94 Instantiate: W20:=b:qML_i
% 187.80/187.94 Found x0 as proof of ((scott_P X2) W20)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 187.80/187.94 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 187.80/187.94 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))):(((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False))))
% 187.80/187.94 Found (eq_ref0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 187.80/187.94 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 187.80/187.94 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 187.80/187.94 Found ((eq_ref Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) as proof of (((eq Prop) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))) b)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 187.80/187.94 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 187.80/187.94 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 187.80/187.94 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 187.80/187.94 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 187.80/187.94 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 187.80/187.94 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found fact_7_A50:=(fact_7_A5 b):((scott_P scott_NE_QML_mu) b)
% 196.99/197.20 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 196.99/197.20 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found x0:((X20 Xb) V3)
% 196.99/197.20 Found x0 as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 196.99/197.20 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 196.99/197.20 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 196.99/197.20 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 196.99/197.20 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 196.99/197.20 Found (eq_ref0 b) as proof of (((eq qML_i) b) W2)
% 196.99/197.20 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 196.99/197.20 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 196.99/197.20 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W2)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 196.99/197.20 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 196.99/197.20 Found fact_3_A30:=(fact_3_A3 b):((scott_P scott_G) b)
% 196.99/197.20 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 196.99/197.20 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 196.99/197.20 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 196.99/197.20 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 196.99/197.20 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 196.99/197.20 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 196.99/197.20 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 196.99/197.20 Found x0:((X20 Xb) V3)
% 196.99/197.20 Found x0 as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 196.99/197.20 Found x0:((X20 Xb) V3)
% 196.99/197.20 Found x0 as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 196.99/197.20 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 196.99/197.20 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of b
% 196.99/197.20 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 196.99/197.20 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 196.99/197.20 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X2) W2)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 206.76/206.89 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found x0:((scott_P X2) b)
% 206.76/206.89 Instantiate: W20:=b:qML_i
% 206.76/206.89 Found x0 as proof of ((scott_P X2) W20)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 206.76/206.89 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 206.76/206.89 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 206.76/206.89 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 206.76/206.89 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 206.76/206.89 Found fact_4_ess__def:(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2))))))))
% 206.76/206.89 Instantiate: b:=(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))):Prop
% 206.76/206.89 Found fact_4_ess__def as proof of b
% 206.76/206.89 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 206.76/206.89 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 206.76/206.89 Found ((conj00 (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 206.76/206.89 Found (((conj0 b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 206.76/206.89 Found ((((conj ((scott_P X20) W2)) b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 206.76/206.89 Found ((((conj ((scott_P X20) W2)) b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 206.76/206.89 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 206.76/206.89 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 206.76/206.89 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 206.76/206.89 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 206.76/206.89 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 206.76/206.89 Found (classic (not (X3 W3))) as proof of (P0 b0)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 206.76/206.89 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 206.76/206.89 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 206.76/206.89 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 206.76/206.89 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 206.76/206.89 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 206.76/206.89 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 206.76/206.89 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 206.76/206.89 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 206.76/206.89 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 206.76/206.89 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 206.76/206.89 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 206.76/206.89 Found fact_3_A30:=(fact_3_A3 W20):((scott_P scott_G) W20)
% 206.76/206.89 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 206.76/206.89 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 212.50/212.67 Found (fact_3_A3 W20) as proof of ((scott_P X21) W20)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 212.50/212.67 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 212.50/212.67 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 212.50/212.67 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 212.50/212.67 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 212.50/212.67 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 212.50/212.67 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 212.50/212.67 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 212.50/212.67 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 212.50/212.67 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 212.50/212.67 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found fact_0_G__def:(((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W)))))
% 212.50/212.67 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P scott_G)->(P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))))):Prop
% 212.50/212.67 Found fact_0_G__def as proof of (P0 b0)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 ((X3 W3)->False)):(((eq Prop) ((X3 W3)->False)) ((X3 W3)->False))
% 212.50/212.67 Found (eq_ref0 ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 212.50/212.67 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 212.50/212.67 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 212.50/212.67 Found ((eq_ref Prop) ((X3 W3)->False)) as proof of (((eq Prop) ((X3 W3)->False)) b0)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 212.50/212.67 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 212.50/212.67 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 212.50/212.67 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 212.50/212.67 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 212.50/212.67 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 212.50/212.67 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 212.50/212.67 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 212.50/212.67 Found fact_4_ess__def:(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2))))))))
% 221.80/221.99 Instantiate: b:=(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) scott_ess_QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X:qML_mu) (W:qML_i)=> ((and ((Phi X) W)) (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X) W)->(forall (V2:qML_i) (Z:qML_mu), (((Phi Z) V2)->((Y Z) V2)))))))):Prop
% 221.80/221.99 Found fact_4_ess__def as proof of b
% 221.80/221.99 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found ((conj00 (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 221.80/221.99 Found (((conj0 b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 221.80/221.99 Found ((((conj ((scott_P X20) W2)) b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 221.80/221.99 Found ((((conj ((scott_P X20) W2)) b) (fact_7_A5 W2)) fact_4_ess__def) as proof of (P b)
% 221.80/221.99 Found fact_3_A30:=(fact_3_A3 b):((scott_P scott_G) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found fact_7_A50:=(fact_7_A5 W21):((scott_P scott_NE_QML_mu) W21)
% 221.80/221.99 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 221.80/221.99 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 221.80/221.99 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 221.80/221.99 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 221.80/221.99 Found x0:((X20 Xb) V3)
% 221.80/221.99 Found x0 as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 221.80/221.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 221.80/221.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 221.80/221.99 Found fact_3_A30:=(fact_3_A3 b):((scott_P scott_G) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found (fact_3_A3 b) as proof of ((scott_P X20) b)
% 221.80/221.99 Found x0:((X20 Xb) V3)
% 221.80/221.99 Found x0 as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 221.80/221.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 221.80/221.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 221.80/221.99 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 221.80/221.99 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 221.80/221.99 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 221.80/221.99 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 221.80/221.99 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 221.80/221.99 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 221.80/221.99 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 221.80/221.99 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 221.80/221.99 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 221.80/221.99 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 221.80/221.99 Found fact_7_A50:=(fact_7_A5 W20):((scott_P scott_NE_QML_mu) W20)
% 221.80/221.99 Found (fact_7_A5 W20) as proof of ((scott_P X21) W20)
% 221.80/221.99 Found (fact_7_A5 W20) as proof of ((scott_P X21) W20)
% 221.80/221.99 Found (fact_7_A5 W20) as proof of ((scott_P X21) W20)
% 221.80/221.99 Found fact_3_A30:=(fact_3_A3 W200):((scott_P scott_G) W200)
% 221.80/221.99 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 221.80/221.99 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 221.80/221.99 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 221.80/221.99 Found x0:((X20 Xb) V3)
% 221.80/221.99 Found x0 as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 221.80/221.99 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 221.80/221.99 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 232.15/232.28 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 232.15/232.28 Found x0:((X20 Xb) V3)
% 232.15/232.28 Found x0 as proof of (((X2 Xb) V3)->False)
% 232.15/232.28 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 232.15/232.28 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 232.15/232.28 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 232.15/232.28 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of b
% 232.15/232.28 Found fact_0_G__def:(((eq (qML_mu->(qML_i->Prop))) scott_G) (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W)))))
% 232.15/232.28 Instantiate: b0:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P scott_G)->(P (fun (X:qML_mu) (W:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((scott_P Y) W)->((Y X) W))))))):Prop
% 232.15/232.28 Found fact_0_G__def as proof of (P0 b0)
% 232.15/232.28 Found eq_ref00:=(eq_ref0 (not (X3 W3))):(((eq Prop) (not (X3 W3))) (not (X3 W3)))
% 232.15/232.28 Found (eq_ref0 (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 232.15/232.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 232.15/232.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 232.15/232.28 Found ((eq_ref Prop) (not (X3 W3))) as proof of (((eq Prop) (not (X3 W3))) b0)
% 232.15/232.28 Found eq_ref00:=(eq_ref0 b0):(((eq qML_i) b0) b0)
% 232.15/232.28 Found (eq_ref0 b0) as proof of (((eq qML_i) b0) b)
% 232.15/232.28 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 232.15/232.28 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 232.15/232.28 Found ((eq_ref qML_i) b0) as proof of (((eq qML_i) b0) b)
% 232.15/232.28 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 232.15/232.28 Found (eq_ref0 a) as proof of (((eq qML_i) a) b0)
% 232.15/232.28 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 232.15/232.28 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 232.15/232.28 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b0)
% 232.15/232.28 Found x0:((X20 Xb) V3)
% 232.15/232.28 Found x0 as proof of (((X2 Xb) V3)->False)
% 232.15/232.28 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 232.15/232.28 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 232.15/232.28 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 232.15/232.28 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 232.15/232.28 Found x0:((scott_P X2) b)
% 232.15/232.28 Instantiate: W20:=b:qML_i
% 232.15/232.28 Found x0 as proof of ((scott_P X2) W20)
% 232.15/232.28 Found x0:((scott_P X2) b)
% 232.15/232.28 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=b:qML_i
% 232.15/232.28 Found x0 as proof of ((scott_P X20) W2)
% 232.15/232.28 Found fact_7_A50:=(fact_7_A5 b):((scott_P scott_NE_QML_mu) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found fact_7_A50:=(fact_7_A5 W21):((scott_P scott_NE_QML_mu) W21)
% 232.15/232.28 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 232.15/232.28 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 232.15/232.28 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 232.15/232.28 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 232.15/232.28 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 232.15/232.28 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 232.15/232.28 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 232.15/232.28 Found x0:((scott_P X2) b)
% 232.15/232.28 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 232.15/232.28 Found x0 as proof of ((scott_P X20) W2)
% 232.15/232.28 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 232.15/232.28 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 232.15/232.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 232.15/232.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 232.15/232.28 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 232.15/232.28 Found fact_7_A50:=(fact_7_A5 b):((scott_P scott_NE_QML_mu) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found (fact_7_A5 b) as proof of ((scott_P X20) b)
% 232.15/232.28 Found x0:((X20 Xb) V3)
% 232.15/232.28 Found x0 as proof of (((X2 Xb) V3)->False)
% 232.15/232.28 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found x0:((X20 Xb) V3)
% 241.30/241.45 Found x0 as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 241.30/241.45 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found classic0:=(classic b0):((or b0) (not b0))
% 241.30/241.45 Found (classic b0) as proof of ((or b0) (not (X3 W3)))
% 241.30/241.45 Found (classic b0) as proof of ((or b0) (not (X3 W3)))
% 241.30/241.45 Found (classic b0) as proof of ((or b0) (not (X3 W3)))
% 241.30/241.45 Found (classic b0) as proof of (P0 b0)
% 241.30/241.45 Found fact_3_A30:=(fact_3_A3 W200):((scott_P scott_G) W200)
% 241.30/241.45 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 241.30/241.45 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 241.30/241.45 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 241.30/241.45 Found x0:((X20 Xb) V3)
% 241.30/241.45 Found x0 as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found x0:((X20 Xb) V3)
% 241.30/241.45 Found x0 as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of b
% 241.30/241.45 Found x0:((X20 Xb) V3)
% 241.30/241.45 Found x0 as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 241.30/241.45 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 241.30/241.45 Found x0:((scott_P X2) b)
% 241.30/241.45 Instantiate: W20:=b:qML_i
% 241.30/241.45 Found x0 as proof of ((scott_P X2) W20)
% 241.30/241.45 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 241.30/241.45 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 241.30/241.45 Found x0:((scott_P X2) b)
% 241.30/241.45 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=b:qML_i
% 241.30/241.45 Found x0 as proof of ((scott_P X20) W2)
% 241.30/241.45 Found x0:((scott_P X2) W2)
% 241.30/241.45 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 241.30/241.45 Found x0 as proof of ((scott_P X21) W20)
% 241.30/241.45 Found x0:((scott_P X2) b)
% 241.30/241.45 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 241.30/241.45 Found x0 as proof of ((scott_P X20) W2)
% 241.30/241.45 Found eq_ref00:=(eq_ref0 W2):(((eq qML_i) W2) W2)
% 241.30/241.45 Found (eq_ref0 W2) as proof of (((eq qML_i) W2) b)
% 241.30/241.45 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 241.30/241.45 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 241.30/241.45 Found ((eq_ref qML_i) W2) as proof of (((eq qML_i) W2) b)
% 255.71/255.89 Found x0:((scott_P X2) W2)
% 255.71/255.89 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 255.71/255.89 Found x0 as proof of ((scott_P X20) W21)
% 255.71/255.89 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 255.71/255.89 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found fact_8_A1a000:=(fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)):(((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2)->False)
% 255.71/255.89 Instantiate: X20:=(fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 255.71/255.89 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 255.71/255.89 Found (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0)) as proof of (((scott_P X20) W20)->False)
% 255.71/255.89 Found (fact_6_A1b01 (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 255.71/255.89 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 255.71/255.89 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 255.71/255.89 Found ((fact_6_A1b0 X20) (fun (x1:((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W2))=> ((fact_8_A1a00 x1) x0))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X20 Y) Z)->False))) W2)
% 255.71/255.89 Found x0:((scott_P X2) W2)
% 255.71/255.89 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 255.71/255.89 Found x0 as proof of ((scott_P X20) W21)
% 255.71/255.89 Found eq_ref00:=(eq_ref0 W20):(((eq qML_i) W20) W20)
% 255.71/255.89 Found (eq_ref0 W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found ((eq_ref qML_i) W20) as proof of (((eq qML_i) W20) b)
% 255.71/255.89 Found fact_3_A30:=(fact_3_A3 W21):((scott_P scott_G) W21)
% 255.71/255.89 Found (fact_3_A3 W21) as proof of ((scott_P X20) W21)
% 255.71/255.89 Found (fact_3_A3 W21) as proof of ((scott_P X20) W21)
% 255.71/255.89 Found (fact_3_A3 W21) as proof of ((scott_P X20) W21)
% 255.71/255.89 Found x0:((scott_P X2) W2)
% 255.71/255.89 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 255.71/255.89 Found x0 as proof of ((scott_P X21) W20)
% 255.71/255.89 Found x0:((scott_P X2) W2)
% 255.71/255.89 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 255.71/255.89 Found x0 as proof of ((scott_P X20) W21)
% 255.71/255.89 Found x0:((X20 Xb) V3)
% 255.71/255.89 Found x0 as proof of (((X2 Xb) V3)->False)
% 255.71/255.89 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 255.71/255.89 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 255.71/255.89 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 255.71/255.89 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 255.71/255.89 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 255.71/255.89 Found fact_3_A30:=(fact_3_A3 W200):((scott_P scott_G) W200)
% 255.71/255.89 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 255.71/255.89 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 255.71/255.89 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 255.71/255.89 Found x0:((scott_P X2) W2)
% 255.71/255.89 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 255.71/255.89 Found x0 as proof of ((scott_P X20) W21)
% 255.71/255.89 Found x1:((X21 Xb) V3)
% 255.71/255.89 Found x1 as proof of (((X20 Xb) V3)->False)
% 255.71/255.89 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 267.70/267.83 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 267.70/267.83 Found x0:((scott_P X2) b)
% 267.70/267.83 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=b:qML_i
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x0:((scott_P X2) W21)
% 267.70/267.83 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W21:qML_i
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x0:((X20 Xb) V3)
% 267.70/267.83 Found x0 as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 267.70/267.83 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 267.70/267.83 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x1:((X20 Xb) V3)
% 267.70/267.83 Found x1 as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found x0:((scott_P X2) b)
% 267.70/267.83 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found fact_7_A50:=(fact_7_A5 W21):((scott_P scott_NE_QML_mu) W21)
% 267.70/267.83 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 267.70/267.83 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 267.70/267.83 Found (fact_7_A5 W21) as proof of ((scott_P X20) W21)
% 267.70/267.83 Found x0:((scott_P X2) W200)
% 267.70/267.83 Instantiate: W200:=W20:qML_i;X20:=X2:(qML_mu->(qML_i->Prop))
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x1:((X20 Xb) V3)
% 267.70/267.83 Found x1 as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found x0:((X20 Xb) V3)
% 267.70/267.83 Found x0 as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 267.70/267.83 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 267.70/267.83 Found fact_3_A30:=(fact_3_A3 W200):((scott_P scott_G) W200)
% 267.70/267.83 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 267.70/267.83 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 267.70/267.83 Found (fact_3_A3 W200) as proof of ((scott_P X20) W200)
% 267.70/267.83 Found x2:((scott_P X21) W2)
% 267.70/267.83 Instantiate: X22:=X21:(qML_mu->(qML_i->Prop))
% 267.70/267.83 Found x2 as proof of ((scott_P X22) W2)
% 267.70/267.83 Found x0:((scott_P X2) b)
% 267.70/267.83 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=b:qML_i
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x0:((scott_P X2) W2)
% 267.70/267.83 Instantiate: X22:=X2:(qML_mu->(qML_i->Prop))
% 267.70/267.83 Found x0 as proof of ((scott_P X22) W2)
% 267.70/267.83 Found x0:((scott_P X2) W21)
% 267.70/267.83 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W21:qML_i
% 267.70/267.83 Found x0 as proof of ((scott_P X20) W2)
% 267.70/267.83 Found x1:((X21 Xb) V3)
% 275.89/276.07 Found x1 as proof of (((X20 Xb) V3)->False)
% 275.89/276.07 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 275.89/276.07 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 275.89/276.07 Found x0:((X20 Xb) V3)
% 275.89/276.07 Found x0 as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (x0:((X20 Xb) V3))=> x0) as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x0:((X20 Xb) V3))=> x0) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X21) W2)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X21) W20)
% 275.89/276.07 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found x0:((scott_P X2) b)
% 275.89/276.07 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X20) W2)
% 275.89/276.07 Found x1:((X20 Xb) V3)
% 275.89/276.07 Found x1 as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 275.89/276.07 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found (fact_7_A5 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found x0:((scott_P X2) W200)
% 275.89/276.07 Instantiate: W200:=W20:qML_i;X20:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X20) W2)
% 275.89/276.07 Found x2:((scott_P X21) W2)
% 275.89/276.07 Instantiate: W20:=W2:qML_i
% 275.89/276.07 Found x2 as proof of ((scott_P X21) W20)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: W20:=W2:qML_i
% 275.89/276.07 Found x0 as proof of ((scott_P X2) W20)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X21) W20)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 275.89/276.07 Found x0 as proof of ((scott_P X21) W2)
% 275.89/276.07 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X20) W2)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 275.89/276.07 Found x0 as proof of ((scott_P X21) W20)
% 275.89/276.07 Found x1:((X20 Xb) V3)
% 275.89/276.07 Found x1 as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (x1:((X20 Xb) V3))=> x1) as proof of (((X2 Xb) V3)->False)
% 275.89/276.07 Found (fun (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->(((X2 Xb) V3)->False))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X20 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X2 Xb) V3)->False)))
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: W21:=W2:qML_i
% 275.89/276.07 Found x0 as proof of ((scott_P X2) W21)
% 275.89/276.07 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X22) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X22) W2)
% 275.89/276.07 Found (fact_3_A3 W2) as proof of ((scott_P X22) W2)
% 275.89/276.07 Found x0:((scott_P X2) W2)
% 275.89/276.07 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 275.89/276.07 Found x0 as proof of ((scott_P X20) W21)
% 275.89/276.07 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 275.89/276.07 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 275.89/276.07 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 291.46/291.66 Found (fact_7_A5 W2) as proof of ((scott_P X21) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: W21:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X2) W21)
% 291.46/291.66 Found x2:((scott_P X21) W2)
% 291.46/291.66 Instantiate: X22:=X21:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x2 as proof of ((scott_P X22) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X22:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X22) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X20) W21)
% 291.46/291.66 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) b0)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of (P0 b0)
% 291.46/291.66 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of (P0 a)
% 291.46/291.66 Found x0:((scott_P X2) W20)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W2)
% 291.46/291.66 Found x2:((X22 Xb0) V30)
% 291.46/291.66 Found x2 as proof of (((X21 Xb0) V30)->False)
% 291.46/291.66 Found (fun (x2:((X22 Xb0) V30))=> x2) as proof of (((X21 Xb0) V30)->False)
% 291.46/291.66 Found (fun (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (((X22 Xb0) V30)->(((X21 Xb0) V30)->False))
% 291.46/291.66 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (forall (Xb:qML_mu), (((X22 Xb) V30)->(((X21 Xb) V30)->False)))
% 291.46/291.66 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X22 Xb) V3)->(((X21 Xb) V3)->False)))
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W20)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W2)
% 291.46/291.66 Found classic0:=(classic (not (X3 W3))):((or (not (X3 W3))) (not (not (X3 W3))))
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of ((or (not (X3 W3))) a)
% 291.46/291.66 Found (classic (not (X3 W3))) as proof of (P0 a)
% 291.46/291.66 Found x2:((scott_P X21) W2)
% 291.46/291.66 Instantiate: W20:=W2:qML_i
% 291.46/291.66 Found x2 as proof of ((scott_P X21) W20)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: W20:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X2) W20)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W20)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop));W20:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X21) W20)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: W21:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X2) W21)
% 291.46/291.66 Found fact_7_A50:=(fact_7_A5 W2):((scott_P scott_NE_QML_mu) W2)
% 291.46/291.66 Found (fact_7_A5 W2) as proof of ((scott_P X22) W2)
% 291.46/291.66 Found (fact_7_A5 W2) as proof of ((scott_P X22) W2)
% 291.46/291.66 Found (fact_7_A5 W2) as proof of ((scott_P X22) W2)
% 291.46/291.66 Found fact_3_A30:=(fact_3_A3 W2):((scott_P scott_G) W2)
% 291.46/291.66 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 291.46/291.66 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 291.46/291.66 Found (fact_3_A3 W2) as proof of ((scott_P X21) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X20) W21)
% 291.46/291.66 Found x0:((scott_P X2) W21)
% 291.46/291.66 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W2:=W21:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X20) W2)
% 291.46/291.66 Found x0:((scott_P X2) W2)
% 291.46/291.66 Instantiate: W21:=W2:qML_i
% 291.46/291.66 Found x0 as proof of ((scott_P X2) W21)
% 291.46/291.66 Found x30:=(x3 x2):False
% 291.46/291.66 Found (x3 x2) as proof of False
% 291.46/291.66 Found (x3 x2) as proof of False
% 291.46/291.66 Found (fun (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of False
% 291.46/291.66 Found (fun (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X21 Xb0) V30)->False)
% 291.46/291.66 Found (fun (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (((X20 Xb0) V30)->(((X21 Xb0) V30)->False))
% 294.78/294.95 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X20 Xb) V30)->(((X21 Xb) V30)->False)))
% 294.78/294.95 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))
% 294.78/294.95 Found ((conj01 (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 294.78/294.95 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 294.78/294.95 Found (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2))) as proof of ((and ((scott_P X20) W2)) (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False))))
% 294.78/294.95 Found (fact_5_A2001 (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W20)
% 294.78/294.95 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W20)
% 294.78/294.95 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W20)
% 294.78/294.95 Found ((fact_5_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) (((conj0 (forall (V3:qML_i) (Xb:qML_mu), (((X20 Xb) V3)->(((X21 Xb) V3)->False)))) (fact_7_A5 W2)) (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X20 Xb0) V30)) (x3:((X21 Xb0) V30))=> (x3 x2)))) as proof of ((scott_P (fun (Y:qML_mu) (Z:qML_i)=> (((X21 Y) Z)->False))) W20)
% 294.78/294.95 Found x0:((scott_P X2) W2)
% 294.78/294.95 Instantiate: X20:=X2:(qML_mu->(qML_i->Prop));W21:=W2:qML_i
% 294.78/294.95 Found x0 as proof of ((scott_P X20) W21)
% 294.78/294.95 Found x0:((scott_P X2) W20)
% 294.78/294.95 Instantiate: X21:=X2:(qML_mu->(qML_i->Prop))
% 294.78/294.95 Found x0 as proof of ((scott_P X21) W2)
% 294.78/294.95 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 294.78/294.95 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 294.78/294.95 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 294.78/294.95 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 294.78/294.95 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 294.78/294.95 Found x2:((X22 Xb0) V30)
% 294.78/294.95 Found x2 as proof of (((X21 Xb0) V30)->False)
% 294.78/294.95 Found (fun (x2:((X22 Xb0) V30))=> x2) as proof of (((X21 Xb0) V30)->False)
% 294.78/294.95 Found (fun (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (((X22 Xb0) V30)->(((X21 Xb0) V30)->False))
% 294.78/294.95 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (forall (Xb:qML_mu), (((X22 Xb) V30)->(((X21 Xb) V30)->False)))
% 294.78/294.95 Found (fun (V30:qML_i) (Xb0:qML_mu) (x2:((X22 Xb0) V30))=> x2) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X22 Xb) V3)->(((X21 Xb) V3)->False)))
% 294.78/294.95 Found x1:((X21 Xb) V3)
% 294.78/294.95 Found x1 as proof of (((X20 Xb) V3)->False)
% 294.78/294.95 Found (fun (x1:((X21 Xb) V3))=> x1) as proof of (((X20 Xb) V3)->False)
% 294.78/294.95 Found (fun (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (((X21 Xb) V3)->(((X20 Xb) V3)->False))
% 294.78/294.95 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 294.78/294.95 Found (fun (V3:qML_i) (Xb:qML_mu) (x1:((X21 Xb) V3))=> x1) as proof of (forall (V3:qML_i) (Xb:qML_mu), (((X21 Xb) V3)->(((X20 Xb) V3)->False)))
% 294.78/294.95 Found
%------------------------------------------------------------------------------