TSTP Solution File: SYO051^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO051^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:50:30 EDT 2022
% Result : Timeout 300.04s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO051^1 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 11 09:28:26 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.47/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.Type object at 0x10a7b48>) of role type named mu_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mu:Type
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7758>, <kernel.DependentProduct object at 0x10a7710>) of role type named meq_ind_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.47/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.47/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.DependentProduct object at 0x10a7f38>) of role type named meq_prop_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.47/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7ab8>, <kernel.DependentProduct object at 0x10a7758>) of role type named mnot_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.47/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7758>, <kernel.DependentProduct object at 0x10a7830>) of role type named mor_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.47/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a7830>, <kernel.DependentProduct object at 0x10a75a8>) of role type named mand_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.47/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0x10a75a8>, <kernel.DependentProduct object at 0x10a74d0>) of role type named mimplies_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.47/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a74d0>, <kernel.DependentProduct object at 0x10a7bd8>) of role type named mimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.47/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a7bd8>, <kernel.DependentProduct object at 0x10a7488>) of role type named mequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.47/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a7488>, <kernel.DependentProduct object at 0x10a7758>) of role type named mxor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.47/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.DependentProduct object at 0x10a7a70>) of role type named mforall_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.47/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a7a70>, <kernel.DependentProduct object at 0x133e8c0>) of role type named mforall_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.47/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.47/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.DependentProduct object at 0x133ea28>) of role type named mexists_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.47/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.DependentProduct object at 0x133e9e0>) of role type named mexists_prop_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.64 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.47/0.64 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.47/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x10a7710>, <kernel.DependentProduct object at 0x10a34d0>) of role type named mtrue_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtrue:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.47/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x133ee18>, <kernel.DependentProduct object at 0x10a3b00>) of role type named mfalse_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfalse:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.47/0.64 Defined: mfalse:=(mnot mtrue)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x133ee18>, <kernel.DependentProduct object at 0x10a36c8>) of role type named mbox_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.47/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x133ee18>, <kernel.DependentProduct object at 0x10a3170>) of role type named mdia_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.47/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x10a3200>, <kernel.DependentProduct object at 0x10a33f8>) of role type named mreflexive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x10a33f8>, <kernel.DependentProduct object at 0x10a37a0>) of role type named msymmetric_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x10a37a0>, <kernel.DependentProduct object at 0x10a3710>) of role type named mserial_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x10a3710>, <kernel.DependentProduct object at 0x10a31b8>) of role type named mtransitive_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x10a31b8>, <kernel.DependentProduct object at 0x10a3320>) of role type named meuclidean_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x109eef0>, <kernel.DependentProduct object at 0x10a3320>) of role type named mpartially_functional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x109edd0>, <kernel.DependentProduct object at 0x10a3710>) of role type named mfunctional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x10a3710>, <kernel.DependentProduct object at 0x10a3200>) of role type named mweakly_dense_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x10a3200>, <kernel.DependentProduct object at 0x10a3fc8>) of role type named mweakly_connected_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x10a3fc8>, <kernel.DependentProduct object at 0x10a32d8>) of role type named mweakly_directed_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x10a37a0>, <kernel.DependentProduct object at 0x10a3320>) of role type named mvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x10a3fc8>, <kernel.DependentProduct object at 0x2b7c2c634200>) of role type named minvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x10a3fc8>, <kernel.DependentProduct object at 0x2b7c2c634560>) of role type named msatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b7c2c6343f8>, <kernel.DependentProduct object at 0x2b7c2c634638>) of role type named mcountersatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.67 FOF formula (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) ((mbox R) ((mbox R) A))))))) of role conjecture named conj
% 0.47/0.67 Conjecture to prove = (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) ((mbox R) ((mbox R) A))))))):Prop
% 0.47/0.67 Parameter mu_DUMMY:mu.
% 0.47/0.67 Parameter fofType_DUMMY:fofType.
% 0.47/0.67 We need to prove ['(forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) ((mbox R) ((mbox R) A)))))))']
% 0.47/0.67 Parameter mu:Type.
% 0.47/0.67 Parameter fofType:Type.
% 0.47/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 7.74/7.94 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 7.74/7.94 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 7.74/7.94 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 7.74/7.94 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 7.74/7.94 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 7.74/7.94 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 7.74/7.94 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 7.74/7.94 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 7.74/7.94 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 7.74/7.94 Trying to prove (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) ((mbox R) ((mbox R) A)))))))
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 7.74/7.94 Found x10:False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of False
% 7.74/7.94 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 7.74/7.94 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 23.84/24.05 Found x30:False
% 23.84/24.05 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 23.84/24.05 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 23.84/24.05 Found x30:False
% 23.84/24.05 Found (fun (x5:(P V1))=> x30) as proof of False
% 23.84/24.05 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 23.84/24.05 Found x10:False
% 23.84/24.05 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 23.84/24.05 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 29.92/30.17 Found x30:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 29.92/30.17 Found x10:False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 29.92/30.17 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 44.92/45.12 Found x30:False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of False
% 44.92/45.12 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 44.92/45.12 Found x10:False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 44.92/45.12 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 44.92/45.12 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 44.92/45.12 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 44.92/45.12 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 44.92/45.12 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 44.92/45.12 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 44.92/45.12 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 44.92/45.12 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 44.92/45.12 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 44.92/45.12 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 49.61/49.82 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 49.61/49.82 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 49.61/49.82 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 49.61/49.82 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 49.61/49.82 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 49.61/49.82 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 49.61/49.82 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 49.61/49.82 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 49.61/49.82 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 49.61/49.82 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 49.61/49.82 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 49.61/49.82 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 49.61/49.82 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 49.61/49.82 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 49.61/49.82 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 49.61/49.82 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 49.61/49.82 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 49.61/49.82 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 49.61/49.82 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 49.61/49.82 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 49.61/49.82 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 49.61/49.82 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 49.61/49.82 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 49.61/49.82 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 49.61/49.82 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 49.61/49.82 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 49.61/49.82 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 51.89/52.17 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 51.89/52.17 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 51.89/52.17 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 51.89/52.17 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 51.89/52.17 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 51.89/52.17 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 51.89/52.17 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 51.89/52.17 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 51.89/52.17 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 51.89/52.17 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 51.89/52.17 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 51.89/52.17 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 51.89/52.17 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 51.89/52.17 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 51.89/52.17 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 51.89/52.17 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 51.89/52.17 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 51.89/52.17 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 54.22/54.45 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 54.22/54.45 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x30:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of False
% 54.22/54.45 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 54.22/54.45 Found x10:False
% 54.22/54.45 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 54.22/54.45 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x3:(P V0))=> x10) as proof of False
% 59.62/59.84 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 59.62/59.84 Found x30:False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of False
% 59.62/59.84 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 59.62/59.84 Found x10:False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 59.62/59.84 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 59.62/59.84 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 59.62/59.84 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 59.62/59.84 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 59.62/59.84 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 59.62/59.84 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 59.62/59.84 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 59.62/59.84 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 59.62/59.84 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 62.62/62.83 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 62.62/62.83 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 62.62/62.83 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 62.62/62.83 Found x10:False
% 62.62/62.83 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 62.62/62.83 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 62.62/62.83 Found x10:False
% 62.62/62.83 Found (fun (x3:(P V0))=> x10) as proof of False
% 62.62/62.83 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 62.62/62.83 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 62.62/62.83 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 62.62/62.83 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 62.62/62.83 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 62.62/62.83 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 62.62/62.83 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 62.62/62.83 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 62.62/62.83 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 62.62/62.83 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 62.62/62.83 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 62.62/62.83 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 62.62/62.83 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 62.62/62.83 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 62.62/62.83 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 62.62/62.83 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 62.62/62.83 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 62.62/62.83 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 62.62/62.83 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 62.62/62.83 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 62.62/62.83 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 70.02/70.30 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 70.02/70.30 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 70.02/70.30 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 70.02/70.30 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 70.02/70.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 70.02/70.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 70.02/70.30 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 70.02/70.30 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 70.02/70.30 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 70.02/70.30 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 70.02/70.30 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 70.02/70.30 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x30:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of False
% 70.02/70.30 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 70.02/70.30 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 70.02/70.30 Found x10:False
% 70.02/70.30 Found (fun (x5:(P V1))=> x10) as proof of False
% 72.60/72.88 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x5:(P V1))=> x10) as proof of False
% 72.60/72.88 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 72.60/72.88 Found x30:False
% 72.60/72.88 Found (fun (x5:(P V1))=> x30) as proof of False
% 72.60/72.88 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 72.60/72.88 Found x30:False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 72.60/72.88 Found x30:False
% 72.60/72.88 Found (fun (x5:(P V1))=> x30) as proof of False
% 72.60/72.88 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 72.60/72.88 Found x30:False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x5:(P V1))=> x10) as proof of False
% 72.60/72.88 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 72.60/72.88 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 72.60/72.88 Found x10:False
% 72.60/72.88 Found (fun (x3:(P V0))=> x10) as proof of False
% 72.60/72.88 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 72.60/72.88 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 72.60/72.88 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 72.60/72.88 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 72.60/72.88 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 72.60/72.88 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 72.60/72.88 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 72.60/72.88 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 72.60/72.88 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 72.60/72.88 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 72.60/72.88 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 72.60/72.88 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 72.60/72.88 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 72.60/72.88 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 72.60/72.88 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 72.60/72.88 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 72.60/72.88 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 72.60/72.88 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 72.60/72.88 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 72.60/72.88 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 72.60/72.88 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 72.60/72.88 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 78.28/78.56 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 78.28/78.56 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x3:(P V0))=> x10) as proof of False
% 78.28/78.56 Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 78.28/78.56 Found x30:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of False
% 78.28/78.56 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 78.28/78.56 Found x10:False
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 102.11/102.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 102.11/102.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 102.11/102.34 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 102.11/102.34 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 102.11/102.34 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.11/102.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.11/102.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 102.11/102.34 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.11/102.34 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.11/102.34 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.11/102.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 102.11/102.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.11/102.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.11/102.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 102.71/102.92 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.71/102.92 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 102.71/102.92 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.71/102.92 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 102.71/102.92 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.71/102.92 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 102.71/102.92 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 102.71/102.92 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 102.71/102.92 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 102.71/102.92 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 102.71/102.92 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 102.71/102.92 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 102.71/102.92 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 102.71/102.92 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 104.49/104.77 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.49/104.77 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 104.49/104.77 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 104.49/104.77 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 104.49/104.77 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 104.49/104.77 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.49/104.77 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.49/104.77 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.49/104.77 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.49/104.77 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 104.49/104.77 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.49/104.77 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.49/104.77 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 104.49/104.77 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.49/104.77 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.49/104.77 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.49/104.77 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.49/104.77 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 104.49/104.77 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.49/104.77 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 104.49/104.77 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 104.49/104.77 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.49/104.77 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.89/105.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.89/105.16 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.89/105.16 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.89/105.16 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.89/105.16 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.89/105.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.89/105.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 104.89/105.16 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.89/105.16 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.89/105.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.89/105.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.89/105.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 104.89/105.16 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.89/105.16 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.89/105.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.89/105.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 104.89/105.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 104.89/105.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.89/105.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 110.18/110.39 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 110.18/110.39 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 110.18/110.39 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 110.18/110.39 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 110.18/110.39 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 110.18/110.39 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 110.18/110.39 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 110.18/110.39 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 110.18/110.39 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 110.18/110.39 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 110.18/110.39 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 110.18/110.39 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 110.18/110.39 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 110.18/110.39 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 110.18/110.39 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 110.18/110.39 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 110.18/110.39 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 110.18/110.39 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 110.18/110.39 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 110.18/110.39 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 110.18/110.39 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 110.18/110.39 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 117.29/117.52 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 117.29/117.52 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 117.29/117.52 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 117.29/117.52 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 117.29/117.52 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 123.20/123.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.20/123.42 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.20/123.42 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 123.20/123.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 123.20/123.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 123.20/123.42 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.20/123.42 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.20/123.42 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 123.20/123.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 123.20/123.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 123.20/123.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 123.20/123.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.20/123.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.20/123.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 123.20/123.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 123.20/123.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 123.20/123.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.20/123.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.20/123.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 123.20/123.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 123.20/123.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 123.20/123.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 123.20/123.42 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 123.20/123.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 123.20/123.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.20/123.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.20/123.42 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 123.29/123.60 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.29/123.60 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 123.29/123.60 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.29/123.60 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.29/123.60 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.29/123.60 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.29/123.60 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.29/123.60 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 123.29/123.60 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.29/123.60 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.29/123.60 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 123.29/123.60 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.29/123.60 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.29/123.60 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.29/123.60 Found x30:False
% 123.29/123.60 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.29/123.60 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.29/123.60 Found x30:False
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 123.29/123.60 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.29/123.60 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 123.29/123.60 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.29/123.60 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.29/123.60 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 123.59/123.81 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.59/123.81 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.59/123.81 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.59/123.81 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.59/123.81 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.59/123.81 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.59/123.81 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.59/123.81 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 123.59/123.81 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.59/123.81 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.59/123.81 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 123.59/123.81 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.59/123.81 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.59/123.81 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.59/123.81 Found x30:False
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 123.59/123.81 Found x10:False
% 123.59/123.81 Found (fun (x5:(P V1))=> x10) as proof of False
% 123.59/123.81 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 123.59/123.81 Found x10:False
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 123.59/123.81 Found x30:False
% 123.59/123.81 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.59/123.81 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.59/123.81 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.59/123.81 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.59/123.81 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.59/123.81 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.59/123.81 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 123.59/123.81 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 123.59/123.81 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 123.59/123.81 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 123.59/123.81 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 123.59/123.81 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.59/123.81 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.78/123.99 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 123.78/123.99 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.78/123.99 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.78/123.99 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.78/123.99 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.78/123.99 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 123.78/123.99 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 123.78/123.99 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 123.78/123.99 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 123.78/123.99 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.78/123.99 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.78/123.99 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 123.78/123.99 Found x30:False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of False
% 123.78/123.99 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 123.78/123.99 Found x10:False
% 123.78/123.99 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 142.71/142.96 Found x10:False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 142.71/142.96 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 142.71/142.96 Found x30:False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of False
% 142.71/142.96 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 142.71/142.96 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 142.71/142.96 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 142.71/142.96 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 142.71/142.96 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 146.78/147.00 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 146.78/147.00 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 146.78/147.00 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 146.78/147.00 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 146.78/147.00 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 146.78/147.00 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 146.78/147.00 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 146.78/147.00 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 146.78/147.00 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 146.78/147.00 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 146.78/147.00 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 146.78/147.00 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 146.78/147.00 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 146.78/147.00 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 146.78/147.00 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 146.78/147.00 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 146.78/147.00 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 146.78/147.00 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 146.78/147.00 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 146.78/147.00 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 146.78/147.00 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 147.39/147.62 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 147.39/147.62 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 147.39/147.62 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 147.39/147.62 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 147.39/147.62 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 147.39/147.62 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 147.39/147.62 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 147.39/147.62 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 147.39/147.62 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 147.39/147.62 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 147.39/147.62 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 147.39/147.62 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 147.39/147.62 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 147.39/147.62 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 147.39/147.62 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 147.39/147.62 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 147.39/147.62 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 151.87/152.13 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 151.87/152.13 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 151.87/152.13 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 151.87/152.13 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 151.87/152.13 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 151.87/152.13 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 151.87/152.13 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 151.87/152.13 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 151.87/152.13 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 151.87/152.13 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 151.87/152.13 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 151.87/152.13 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 151.87/152.13 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 151.87/152.13 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 151.87/152.13 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 151.87/152.13 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 151.87/152.13 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 151.87/152.13 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.87/152.13 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.87/152.13 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 151.87/152.13 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 151.87/152.13 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 151.87/152.13 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.87/152.13 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.87/152.13 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 151.87/152.13 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 151.87/152.13 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 151.87/152.13 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 151.87/152.13 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 151.87/152.13 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 152.07/152.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 152.07/152.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 152.07/152.34 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 152.07/152.34 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 152.07/152.34 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 152.07/152.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 152.07/152.34 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 152.07/152.34 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 152.07/152.34 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 152.07/152.34 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 152.07/152.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 152.07/152.34 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 152.07/152.34 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 152.07/152.34 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 152.07/152.34 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 169.98/170.29 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 169.98/170.29 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 169.98/170.29 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 169.98/170.29 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 169.98/170.29 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 169.98/170.29 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 169.98/170.29 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 169.98/170.29 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 169.98/170.29 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 169.98/170.29 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 169.98/170.29 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 169.98/170.29 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 169.98/170.29 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 169.98/170.29 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 169.98/170.29 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 169.98/170.29 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 169.98/170.29 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 169.98/170.29 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 169.98/170.29 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 169.98/170.29 Found x30:False
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 169.98/170.29 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 169.98/170.29 Found x30:False
% 169.98/170.29 Found (fun (x5:(P V1))=> x30) as proof of False
% 169.98/170.29 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 170.79/171.04 Found x30:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 170.79/171.04 Found x10:False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of False
% 170.79/171.04 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 170.79/171.04 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 170.79/171.04 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 170.79/171.04 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 170.79/171.04 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 170.79/171.04 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 170.79/171.04 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 170.79/171.04 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 170.79/171.04 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 170.79/171.04 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 170.79/171.04 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.96/173.22 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 172.96/173.22 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.96/173.22 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 172.96/173.22 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.96/173.22 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 172.96/173.22 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.96/173.22 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.96/173.22 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 172.96/173.22 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 172.96/173.22 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 172.96/173.22 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 172.96/173.22 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 172.96/173.22 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 175.29/175.55 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 175.29/175.55 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 175.29/175.55 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 175.29/175.55 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 175.29/175.55 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 175.29/175.55 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 175.29/175.55 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.29/175.55 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 175.29/175.55 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.29/175.55 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 175.29/175.55 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 175.29/175.55 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 175.29/175.55 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 175.29/175.55 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.29/175.55 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 175.29/175.55 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.29/175.55 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 175.29/175.55 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 175.29/175.55 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 175.29/175.55 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 175.29/175.55 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 175.73/176.05 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 175.73/176.05 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 175.73/176.05 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 175.73/176.05 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 175.73/176.05 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 175.73/176.05 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 175.73/176.05 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.73/176.05 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 175.73/176.05 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 175.73/176.05 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 175.73/176.05 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 175.73/176.05 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 175.73/176.05 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.05/176.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 176.05/176.30 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 176.05/176.30 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 176.05/176.30 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 176.05/176.30 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.05/176.30 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.05/176.30 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.05/176.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.05/176.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 176.05/176.30 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.05/176.30 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.05/176.30 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.05/176.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.05/176.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 176.05/176.30 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 176.05/176.30 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 176.05/176.30 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 176.05/176.30 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.05/176.30 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.05/176.30 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.05/176.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.05/176.30 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 176.05/176.30 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.05/176.30 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.05/176.30 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.05/176.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.05/176.30 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 176.05/176.30 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 176.05/176.30 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 176.05/176.30 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of False
% 205.84/206.14 Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 205.84/206.14 Found x50:False
% 205.84/206.14 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 205.84/206.14 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 205.84/206.14 Found x50:False
% 205.84/206.14 Found (fun (x7:(P V2))=> x50) as proof of False
% 205.84/206.14 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 205.84/206.14 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 205.84/206.14 Found x30:False
% 205.84/206.14 Found (fun (x7:(P V2))=> x30) as proof of False
% 205.84/206.14 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 205.84/206.14 Found x10:False
% 205.84/206.14 Found (fun (x7:(P V2))=> x10) as proof of False
% 205.84/206.14 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 205.84/206.14 Found x10:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 231.73/232.01 Found x10:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x50:False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 231.73/232.01 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 231.73/232.01 Found x30:False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of False
% 231.73/232.01 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x50:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x50) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 240.09/240.36 Found x50:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 240.09/240.36 Found x30:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x30:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x30) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 240.09/240.36 Found x30:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x30) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 240.09/240.36 Found x30:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x50:False
% 240.09/240.36 Found (fun (x7:(P V2))=> x50) as proof of False
% 240.09/240.36 Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 240.09/240.36 Found x10:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found x50:False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 240.09/240.36 Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 240.09/240.36 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 240.09/240.36 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 240.09/240.36 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 240.09/240.36 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 240.09/240.36 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 240.09/240.36 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 240.09/240.36 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 240.09/240.36 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 240.09/240.36 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 240.09/240.36 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 240.09/240.36 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 240.09/240.36 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 256.67/256.97 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 256.67/256.97 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 256.67/256.97 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 256.67/256.97 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 256.67/256.97 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 256.67/256.97 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 256.67/256.97 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 256.67/256.97 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 256.67/256.97 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 256.67/256.97 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 256.67/256.97 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 256.67/256.97 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 256.67/256.97 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 256.67/256.97 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 256.67/256.97 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 256.67/256.97 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 256.67/256.97 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 258.57/258.86 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 258.57/258.86 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 258.57/258.86 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 258.57/258.86 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 258.57/258.86 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 259.07/259.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 259.07/259.42 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 259.07/259.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 259.07/259.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 259.07/259.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 259.07/259.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 259.07/259.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 259.07/259.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 259.07/259.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 259.07/259.42 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 259.07/259.42 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 259.07/259.42 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 259.07/259.42 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 259.07/259.42 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 259.07/259.42 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 259.07/259.42 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 260.58/260.87 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 260.58/260.87 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 260.58/260.87 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 260.58/260.87 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 260.58/260.87 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 260.58/260.87 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 260.58/260.87 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 260.58/260.87 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 260.58/260.87 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 260.58/260.87 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 260.58/260.87 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 260.58/260.87 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 260.58/260.87 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 260.58/260.87 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 260.58/260.87 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 260.58/260.87 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 260.58/260.87 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 260.58/260.87 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 260.58/260.87 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 260.58/260.87 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 260.58/260.87 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 269.40/269.69 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 269.40/269.69 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 269.40/269.69 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 269.40/269.69 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.40/269.69 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.40/269.69 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.40/269.69 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.40/269.69 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.40/269.69 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.40/269.69 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.40/269.69 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.40/269.69 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 269.40/269.69 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.40/269.69 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.40/269.69 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 269.40/269.69 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 269.40/269.69 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 269.40/269.69 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 269.40/269.69 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 269.85/270.16 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 269.85/270.16 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.85/270.16 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.85/270.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 269.85/270.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.85/270.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 269.85/270.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.85/270.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 269.85/270.16 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.85/270.16 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.85/270.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.85/270.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.85/270.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 269.85/270.16 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 269.85/270.16 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 269.85/270.16 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 269.85/270.16 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.85/270.16 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 269.85/270.16 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)))) as proof of ((R W) V0)
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 284.96/285.27 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 284.96/285.27 Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 284.96/285.27 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 284.96/285.27 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((((R W) V1)->False)->((R W) V))
% 284.96/285.27 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 284.96/285.27 Found (((or_ind2 ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 284.96/285.27 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)))) as proof of ((R W) V)
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 284.96/285.27 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 284.96/285.27 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((((R W) V1)->False)->((R W) V0))
% 284.96/285.27 Found ((or_ind20 (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 284.96/285.27 Found (((or_ind2 ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 284.96/285.27 Found ((((fun (P0:Prop) (x5:((((R W) V1)->False)->P0)) (x6:((P V1)->P0))=> ((((((or_ind (((R W) V1)->False)) (P V1)) P0) x5) x6) x4)) ((R W) V0)) (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 284.96/285.27 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 284.96/285.27 Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 284.96/285.27 Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 284.96/285.27 Found (fun (x5:(((R W) V
%------------------------------------------------------------------------------