TSTP Solution File: SYO050^1 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO050^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.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 00:50:29 EDT 2022

% Result   : Timeout 292.16s 292.49s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYO050^1 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n002.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 09:16:39 EST 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.41/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.41/0.61  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.41/0.61  FOF formula (<kernel.Constant object at 0x2afe4e7f9440>, <kernel.Type object at 0x2afe4e7f93f8>) of role type named mu_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring mu:Type
% 0.41/0.61  FOF formula (<kernel.Constant object at 0x2afe4e7f9170>, <kernel.DependentProduct object at 0xf06758>) of role type named meq_ind_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.41/0.61  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
% 0.41/0.61  A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.41/0.61  Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.41/0.61  FOF formula (<kernel.Constant object at 0xf01f80>, <kernel.DependentProduct object at 0xf06758>) of role type named meq_prop_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61  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
% 0.41/0.61  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))))
% 0.41/0.61  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.41/0.61  FOF formula (<kernel.Constant object at 0x2afe4e7f9440>, <kernel.DependentProduct object at 0xf06170>) of role type named mnot_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.61  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.41/0.61  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.41/0.61  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.41/0.61  FOF formula (<kernel.Constant object at 0xf06170>, <kernel.DependentProduct object at 0xf06e18>) of role type named mor_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61  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
% 0.41/0.61  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))))
% 0.41/0.61  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.41/0.61  FOF formula (<kernel.Constant object at 0xf06e18>, <kernel.DependentProduct object at 0xf06290>) of role type named mand_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61  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
% 0.41/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.41/0.61  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.41/0.61  FOF formula (<kernel.Constant object at 0xf06290>, <kernel.DependentProduct object at 0xf06908>) of role type named mimplies_type
% 0.41/0.61  Using role type
% 0.41/0.61  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61  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
% 0.41/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.41/0.61  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf06908>, <kernel.DependentProduct object at 0xf06998>) of role type named mimplied_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62  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
% 0.41/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.41/0.62  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf06998>, <kernel.DependentProduct object at 0xf06170>) of role type named mequiv_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62  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
% 0.41/0.62  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))))
% 0.41/0.62  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf06170>, <kernel.DependentProduct object at 0xf06e18>) of role type named mxor_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62  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
% 0.41/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.41/0.62  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf063f8>, <kernel.DependentProduct object at 0xf06998>) of role type named mforall_ind_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.62  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
% 0.41/0.62  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.41/0.62  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf06998>, <kernel.DependentProduct object at 0xf06a70>) of role type named mforall_prop_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.41/0.62  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
% 0.41/0.62  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))))
% 0.41/0.62  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.41/0.62  FOF formula (<kernel.Constant object at 0xf06a70>, <kernel.DependentProduct object at 0xf06878>) of role type named mexists_ind_type
% 0.41/0.62  Using role type
% 0.41/0.62  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.62  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
% 0.41/0.62  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)))))))
% 0.48/0.63  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06878>, <kernel.DependentProduct object at 0xf06f38>) of role type named mexists_prop_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63  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
% 0.48/0.63  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)))))))
% 0.48/0.63  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06f38>, <kernel.DependentProduct object at 0xf06518>) of role type named mtrue_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mtrue:(fofType->Prop)
% 0.48/0.63  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.48/0.63  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.48/0.63  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06518>, <kernel.DependentProduct object at 0xf06b48>) of role type named mfalse_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mfalse:(fofType->Prop)
% 0.48/0.63  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.48/0.63  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.48/0.63  Defined: mfalse:=(mnot mtrue)
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06878>, <kernel.DependentProduct object at 0xf06638>) of role type named mbox_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63  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
% 0.48/0.63  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)))))
% 0.48/0.63  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06638>, <kernel.DependentProduct object at 0xf06ef0>) of role type named mdia_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63  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
% 0.48/0.63  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)))))
% 0.48/0.63  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0xf06998>, <kernel.DependentProduct object at 0xf06710>) of role type named mreflexive_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.48/0.63  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.48/0.63  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.48/0.63  FOF formula (<kernel.Constant object at 0x11a7830>, <kernel.DependentProduct object at 0xf064d0>) of role type named msymmetric_type
% 0.48/0.63  Using role type
% 0.48/0.63  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.64  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)))))
% 0.48/0.64  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0x11a7998>, <kernel.DependentProduct object at 0xf06518>) of role type named mserial_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.64  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))))))
% 0.48/0.64  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0xf06518>, <kernel.DependentProduct object at 0xf06878>) of role type named mtransitive_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.64  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)))))
% 0.48/0.64  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0xf06878>, <kernel.DependentProduct object at 0xf06050>) of role type named meuclidean_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.64  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)))))
% 0.48/0.64  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0xf064d0>, <kernel.DependentProduct object at 0xf07dd0>) of role type named mpartially_functional_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.64  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)))))
% 0.48/0.64  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))))
% 0.48/0.64  FOF formula (<kernel.Constant object at 0xf06c20>, <kernel.DependentProduct object at 0xf079e0>) of role type named mfunctional_type
% 0.48/0.64  Using role type
% 0.48/0.64  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64  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
% 0.48/0.65  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)))))))))
% 0.48/0.65  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))))))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0xf06c20>, <kernel.DependentProduct object at 0xf07dd0>) of role type named mweakly_dense_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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)))))))))
% 0.48/0.65  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))))))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0xf06c20>, <kernel.DependentProduct object at 0xf07a28>) of role type named mweakly_connected_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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))))))
% 0.48/0.65  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)))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0xf07a28>, <kernel.DependentProduct object at 0xf07248>) of role type named mweakly_directed_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65  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
% 0.48/0.65  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))))))))
% 0.48/0.65  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)))))))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0xf07638>, <kernel.DependentProduct object at 0xf07950>) of role type named mvalid_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.65  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.65  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.65  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.65  FOF formula (<kernel.Constant object at 0xf07a28>, <kernel.DependentProduct object at 0x2afe46d26200>) of role type named minvalid_type
% 0.48/0.65  Using role type
% 0.48/0.65  Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.65  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.66  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0xf07a28>, <kernel.DependentProduct object at 0x2afe46d26560>) of role type named msatisfiable_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.66  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.66  FOF formula (<kernel.Constant object at 0x2afe46d263f8>, <kernel.DependentProduct object at 0x2afe46d26638>) of role type named mcountersatisfiable_type
% 0.48/0.66  Using role type
% 0.48/0.66  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.66  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.66  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.66  FOF formula (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) A))))) of role conjecture named conj
% 0.48/0.66  Conjecture to prove = (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) A))))):Prop
% 0.48/0.66  Parameter mu_DUMMY:mu.
% 0.48/0.66  Parameter fofType_DUMMY:fofType.
% 0.48/0.66  We need to prove ['(forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) A)))))']
% 0.48/0.66  Parameter mu:Type.
% 0.48/0.66  Parameter fofType:Type.
% 0.48/0.66  Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.66  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.66  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66  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)).
% 5.64/5.86  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 5.64/5.86  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 5.64/5.86  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))).
% 5.64/5.86  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 5.64/5.86  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 5.64/5.86  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 5.64/5.86  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  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).
% 5.64/5.86  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 5.64/5.86  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 5.64/5.86  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 5.64/5.86  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 5.64/5.86  Trying to prove (forall (R:(fofType->(fofType->Prop))), (mvalid (mforall_prop (fun (A:(fofType->Prop))=> ((mimplies ((mbox R) A)) A)))))
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 5.64/5.86  Found x10:False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 5.64/5.86  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of False
% 19.91/20.09  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 19.91/20.09  Found x30:False
% 19.91/20.09  Found (fun (x5:(P V1))=> x30) as proof of False
% 19.91/20.09  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 19.91/20.09  Found x30:False
% 19.91/20.09  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 19.91/20.09  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x5:(P V1))=> x10) as proof of False
% 19.91/20.09  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 19.91/20.09  Found x10:False
% 19.91/20.09  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 19.91/20.09  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of False
% 26.61/26.81  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 26.61/26.81  Found x10:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 26.61/26.81  Found x30:False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of False
% 26.61/26.81  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x30:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x30:False
% 42.02/42.20  Found (fun (x5:(P V1))=> x30) as proof of False
% 42.02/42.20  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 42.02/42.20  Found x30:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 42.02/42.20  Found x30:False
% 42.02/42.20  Found (fun (x5:(P V1))=> x30) as proof of False
% 42.02/42.20  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 42.02/42.20  Found x30:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of False
% 42.02/42.20  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 42.02/42.20  Found x10:False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of False
% 42.02/42.20  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 42.02/42.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 42.02/42.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 42.02/42.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 42.02/42.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 42.02/42.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 42.02/42.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 42.02/42.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 42.02/42.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 42.02/42.20  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 42.02/42.20  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))
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 46.35/46.59  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 46.35/46.59  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 46.35/46.59  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 46.35/46.59  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 46.35/46.59  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 46.35/46.59  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 46.35/46.59  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 46.35/46.59  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 46.35/46.59  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))
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 46.35/46.59  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 46.35/46.59  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 46.35/46.59  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 46.35/46.59  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 46.35/46.59  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))
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  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)
% 46.35/46.59  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 46.35/46.59  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 46.35/46.59  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 48.47/48.70  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 48.47/48.70  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 48.47/48.70  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 48.47/48.70  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 48.47/48.70  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 48.47/48.70  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))
% 48.47/48.70  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)
% 48.47/48.70  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)
% 48.47/48.71  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)
% 48.47/48.71  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 48.47/48.71  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 48.47/48.71  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 48.47/48.71  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 48.47/48.71  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 48.47/48.71  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 48.47/48.71  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 48.47/48.71  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 48.47/48.71  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 48.47/48.71  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))
% 48.47/48.71  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)
% 48.47/48.71  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)
% 48.47/48.71  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)
% 48.47/48.71  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 48.47/48.71  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 48.47/48.71  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 48.47/48.71  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 48.47/48.71  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 48.47/48.71  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 48.47/48.71  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 48.47/48.71  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 48.47/48.71  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 48.47/48.71  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))
% 48.47/48.71  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)
% 48.47/48.71  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)
% 52.50/52.73  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)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 52.50/52.73  Found x30:False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of False
% 52.50/52.73  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x3:(P V0))=> x10) as proof of False
% 52.50/52.73  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 52.50/52.73  Found x10:False
% 52.50/52.73  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 52.50/52.73  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x30:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 57.81/57.99  Found x10:False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of False
% 57.81/57.99  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 57.81/57.99  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 57.81/57.99  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 57.81/57.99  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 57.81/57.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 57.81/57.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 57.81/57.99  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 57.81/57.99  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 57.81/57.99  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 57.81/57.99  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 61.25/61.45  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))
% 61.25/61.45  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)
% 61.25/61.45  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)
% 61.25/61.45  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)
% 61.25/61.45  Found x10:False
% 61.25/61.45  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 61.25/61.45  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 61.25/61.45  Found x10:False
% 61.25/61.45  Found (fun (x3:(P V0))=> x10) as proof of False
% 61.25/61.45  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 61.25/61.45  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 61.25/61.45  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 61.25/61.45  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 61.25/61.45  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 61.25/61.45  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 61.25/61.45  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 61.25/61.45  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 61.25/61.45  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 61.25/61.45  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 61.25/61.45  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))
% 61.25/61.45  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)
% 61.25/61.45  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)
% 61.25/61.45  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) 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)
% 61.25/61.45  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 61.25/61.45  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 61.25/61.45  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 61.25/61.45  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 61.25/61.45  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 61.25/61.45  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 61.25/61.45  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 61.25/61.45  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 61.25/61.45  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 61.25/61.45  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))
% 61.25/61.45  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)
% 61.25/61.45  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)
% 61.25/61.45  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)
% 69.68/69.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 69.68/69.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 69.68/69.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 69.68/69.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 69.68/69.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 69.68/69.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 69.68/69.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 69.68/69.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 69.68/69.95  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))
% 69.68/69.95  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)
% 69.68/69.95  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)
% 69.68/69.95  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)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x30:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 69.68/69.95  Found x10:False
% 69.68/69.95  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 71.88/72.07  Found x30:False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 71.88/72.07  Found x10:False
% 71.88/72.07  Found (fun (x5:(P V1))=> x10) as proof of False
% 71.88/72.07  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 71.88/72.07  Found x30:False
% 71.88/72.07  Found (fun (x5:(P V1))=> x30) as proof of False
% 71.88/72.07  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 71.88/72.07  Found x30:False
% 71.88/72.07  Found (fun (x5:(P V1))=> x30) as proof of False
% 71.88/72.07  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 71.88/72.07  Found x10:False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 71.88/72.07  Found x10:False
% 71.88/72.07  Found (fun (x5:(P V1))=> x10) as proof of False
% 71.88/72.07  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 71.88/72.07  Found x30:False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 71.88/72.07  Found x10:False
% 71.88/72.07  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 71.88/72.07  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 71.88/72.07  Found x10:False
% 71.88/72.07  Found (fun (x3:(P V0))=> x10) as proof of False
% 71.88/72.07  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 71.88/72.07  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 71.88/72.07  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 71.88/72.07  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 71.88/72.07  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 71.88/72.07  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 71.88/72.07  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 71.88/72.07  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 71.88/72.07  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 71.88/72.07  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))
% 71.88/72.07  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)
% 71.88/72.07  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)
% 71.88/72.07  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)
% 71.88/72.07  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 71.88/72.07  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 71.88/72.07  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 71.88/72.07  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 71.88/72.07  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 71.88/72.07  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 71.88/72.07  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 71.88/72.07  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 71.88/72.07  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 71.88/72.07  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))
% 71.88/72.07  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)
% 71.88/72.07  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)
% 77.50/77.69  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)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x3:(P V0))=> x10) as proof of False
% 77.50/77.69  Found (fun (x3:(P V0))=> x10) as proof of ((P V0)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x3:(((R W) V0)->False))=> x10) as proof of ((((R W) V0)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 77.50/77.69  Found x30:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 77.50/77.69  Found x10:False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 77.50/77.69  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.99/105.20  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 104.99/105.20  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 104.99/105.20  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 104.99/105.20  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))
% 104.99/105.20  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)
% 104.99/105.20  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)
% 104.99/105.20  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)
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.99/105.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.99/105.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.99/105.20  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))
% 104.99/105.20  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)
% 104.99/105.20  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)
% 104.99/105.20  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)
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.99/105.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 104.99/105.20  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 104.99/105.20  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 104.99/105.20  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 104.99/105.20  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))
% 104.99/105.20  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)
% 105.56/105.77  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)
% 105.56/105.77  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)
% 105.56/105.77  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 105.56/105.77  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 105.56/105.77  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 105.56/105.77  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 105.56/105.77  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))
% 105.56/105.77  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)
% 105.56/105.77  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)
% 105.56/105.77  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)
% 105.56/105.77  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 105.56/105.77  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 105.56/105.77  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 105.56/105.77  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 105.56/105.77  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 105.56/105.77  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 105.56/105.77  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 105.56/105.77  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))
% 105.56/105.77  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)
% 105.56/105.77  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)
% 105.56/105.77  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)
% 105.56/105.77  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 105.56/105.77  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 105.56/105.77  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 107.73/107.97  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 107.73/107.97  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 107.73/107.97  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))
% 107.73/107.97  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)
% 107.73/107.97  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)
% 107.73/107.97  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) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 107.73/107.97  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 107.73/107.97  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 107.73/107.97  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 107.73/107.97  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 107.73/107.97  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 107.73/107.97  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 107.73/107.97  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))
% 107.73/107.97  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)
% 107.73/107.97  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)
% 107.73/107.97  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)
% 107.73/107.97  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 107.73/107.97  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 107.73/107.97  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 107.73/107.97  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 107.73/107.97  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 107.73/107.97  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 107.73/107.97  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 107.73/107.97  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 107.73/107.97  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 107.73/107.97  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))
% 107.73/107.97  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)
% 107.73/107.97  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)
% 108.58/108.83  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)
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 108.58/108.83  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 108.58/108.83  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 108.58/108.83  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))
% 108.58/108.83  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)
% 108.58/108.83  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)
% 108.58/108.83  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)
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 108.58/108.83  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 108.58/108.83  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 108.58/108.83  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 108.58/108.83  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))
% 108.58/108.83  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)
% 108.58/108.83  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)
% 108.58/108.83  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)
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 108.58/108.83  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 108.58/108.83  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 108.58/108.83  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 108.58/108.83  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 108.58/108.83  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 113.35/113.61  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 113.35/113.61  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))
% 113.35/113.61  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)
% 113.35/113.61  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)
% 113.35/113.61  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)
% 113.35/113.61  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 113.35/113.61  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 113.35/113.61  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 113.35/113.61  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 113.35/113.61  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 113.35/113.61  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 113.35/113.61  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 113.35/113.61  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 113.35/113.61  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 113.35/113.61  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))
% 113.35/113.61  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)
% 113.35/113.61  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)
% 113.35/113.61  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)
% 113.35/113.61  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 113.35/113.61  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 113.35/113.61  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 113.35/113.61  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 113.35/113.61  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 113.35/113.61  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 113.35/113.61  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 113.35/113.61  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 113.35/113.61  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 113.35/113.61  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))
% 113.35/113.61  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)
% 113.35/113.61  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)
% 113.35/113.61  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)
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  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))
% 120.28/120.51  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)
% 120.28/120.51  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)
% 120.28/120.51  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)
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  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))
% 120.28/120.51  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)
% 120.28/120.51  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)
% 120.28/120.51  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)
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 120.28/120.51  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 120.28/120.51  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 120.28/120.51  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 120.28/120.51  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))
% 120.28/120.51  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)
% 126.40/126.63  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)
% 126.40/126.63  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)
% 126.40/126.63  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.40/126.63  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 126.40/126.63  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 126.40/126.63  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.40/126.63  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 126.40/126.63  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))
% 126.40/126.63  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)
% 126.40/126.63  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)
% 126.40/126.63  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)
% 126.40/126.63  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.40/126.63  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.40/126.63  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 126.40/126.63  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 126.40/126.63  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 126.40/126.63  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.40/126.63  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.40/126.63  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 126.40/126.63  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 126.40/126.63  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))
% 126.40/126.63  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)
% 126.40/126.63  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)
% 126.40/126.63  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)
% 126.40/126.63  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.40/126.63  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.40/126.63  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.72  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 126.45/126.72  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.45/126.72  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.45/126.72  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.45/126.72  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.72  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))
% 126.45/126.72  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)
% 126.45/126.72  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)
% 126.45/126.72  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)
% 126.45/126.73  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.73  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 126.45/126.73  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.73  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 126.45/126.73  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))
% 126.45/126.73  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)
% 126.45/126.73  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)
% 126.45/126.73  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)
% 126.45/126.73  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.73  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 126.45/126.73  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.73  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.73  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 126.45/126.73  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))
% 126.45/126.73  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)
% 126.45/126.73  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)
% 126.45/126.76  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)
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.45/126.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.45/126.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.76  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))
% 126.45/126.76  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)
% 126.45/126.76  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)
% 126.45/126.76  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)
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.45/126.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 126.45/126.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 126.45/126.76  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 126.45/126.76  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))
% 126.45/126.76  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)
% 126.45/126.76  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)
% 126.45/126.76  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)
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 126.45/126.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 126.45/126.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 126.45/126.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 126.45/126.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 127.24/127.46  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))
% 127.24/127.46  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)
% 127.24/127.46  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)
% 127.24/127.46  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)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x30:False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 127.24/127.46  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 127.24/127.46  Found x10:False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of False
% 127.24/127.46  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 147.42/147.66  Found x10:False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of False
% 147.42/147.66  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 147.42/147.66  Found x30:False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 147.42/147.66  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 147.42/147.66  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 147.42/147.66  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 147.42/147.66  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 147.42/147.66  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 147.42/147.66  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 150.86/151.15  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 150.86/151.15  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 150.86/151.15  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 150.86/151.15  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 150.86/151.15  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))
% 150.86/151.15  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)
% 150.86/151.15  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)
% 150.86/151.15  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)
% 150.86/151.15  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 150.86/151.15  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 150.86/151.15  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 150.86/151.15  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 150.86/151.15  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))
% 150.86/151.15  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)
% 150.86/151.15  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)
% 150.86/151.15  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)
% 150.86/151.15  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 150.86/151.15  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 150.86/151.15  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 150.86/151.15  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 150.86/151.15  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 150.86/151.15  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))
% 150.86/151.15  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)
% 150.86/151.15  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)
% 150.86/151.15  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)
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.79/152.00  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.79/152.00  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 151.79/152.00  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))
% 151.79/152.00  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)
% 151.79/152.00  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)
% 151.79/152.00  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)
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.79/152.00  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 151.79/152.00  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 151.79/152.00  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 151.79/152.00  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))
% 151.79/152.00  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)
% 151.79/152.00  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)
% 151.79/152.00  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) x10)) ((R W) V)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)))) as proof of ((R W) V)
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 151.79/152.00  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 151.79/152.00  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 151.79/152.00  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 151.79/152.00  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 151.79/152.00  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 151.79/152.00  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 151.79/152.00  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))
% 155.71/155.99  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)
% 155.71/155.99  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)
% 155.71/155.99  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) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 155.71/155.99  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.71/155.99  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.71/155.99  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.71/155.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.71/155.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 155.71/155.99  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.71/155.99  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.71/155.99  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.71/155.99  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.71/155.99  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))
% 155.71/155.99  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)
% 155.71/155.99  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)
% 155.71/155.99  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)
% 155.71/155.99  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 155.71/155.99  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 155.71/155.99  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 155.71/155.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 155.71/155.99  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 155.71/155.99  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 155.71/155.99  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 155.71/155.99  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 155.71/155.99  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 155.71/155.99  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))
% 155.71/155.99  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)
% 155.71/155.99  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)
% 155.71/155.99  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)
% 155.71/155.99  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.71/155.99  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 155.78/156.03  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.78/156.03  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.78/156.03  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))
% 155.78/156.03  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)
% 155.78/156.03  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)
% 155.78/156.03  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)
% 155.78/156.03  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 155.78/156.03  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 155.78/156.03  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 155.78/156.03  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 155.78/156.03  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 155.78/156.03  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))
% 155.78/156.03  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)
% 155.78/156.03  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)
% 155.78/156.03  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)
% 155.78/156.03  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.78/156.03  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 155.78/156.03  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 155.78/156.03  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 155.78/156.03  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 155.78/156.03  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))
% 155.78/156.03  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)
% 172.55/172.79  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)
% 172.55/172.79  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)
% 172.55/172.79  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.55/172.79  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.55/172.79  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.55/172.79  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.55/172.79  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 172.55/172.79  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.55/172.79  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.55/172.79  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.55/172.79  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.55/172.79  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))
% 172.55/172.79  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)
% 172.55/172.79  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)
% 172.55/172.79  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)
% 172.55/172.79  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 172.55/172.79  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 172.55/172.79  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 172.55/172.79  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 172.55/172.79  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 172.55/172.79  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 172.55/172.79  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 172.55/172.79  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 172.55/172.79  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 172.55/172.79  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))
% 172.55/172.79  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)
% 172.55/172.79  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)
% 172.55/172.79  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)
% 172.55/172.79  Found x30:False
% 172.55/172.79  Found (fun (x5:(P V1))=> x30) as proof of False
% 172.55/172.79  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 172.55/172.79  Found x30:False
% 172.55/172.79  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 172.55/172.79  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 172.55/172.79  Found x10:False
% 172.55/172.79  Found (fun (x5:(P V1))=> x10) as proof of False
% 172.55/172.79  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 172.99/173.25  Found x10:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 172.99/173.25  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.99/173.25  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 172.99/173.25  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.99/173.25  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.99/173.25  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))
% 172.99/173.25  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)
% 172.99/173.25  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)
% 172.99/173.25  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)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found x10:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found x10:False
% 172.99/173.25  Found (fun (x5:(P V1))=> x10) as proof of False
% 172.99/173.25  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 172.99/173.25  Found x10:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 172.99/173.25  Found x10:False
% 172.99/173.25  Found (fun (x5:(P V1))=> x10) as proof of False
% 172.99/173.25  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 172.99/173.25  Found x30:False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 172.99/173.25  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.99/173.25  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 172.99/173.25  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 172.99/173.25  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 172.99/173.25  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 172.99/173.25  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))
% 172.99/173.25  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)
% 174.51/174.76  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)
% 174.51/174.76  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)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 174.51/174.76  Found x30:False
% 174.51/174.76  Found (fun (x5:(P V1))=> x30) as proof of False
% 174.51/174.76  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 174.51/174.76  Found x30:False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 174.51/174.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 174.51/174.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 174.51/174.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 174.51/174.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 174.51/174.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 174.51/174.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 174.51/174.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 174.51/174.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 174.51/174.76  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))
% 174.51/174.76  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)
% 174.51/174.76  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)
% 174.51/174.76  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)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 174.51/174.76  Found x30:False
% 174.51/174.76  Found (fun (x5:(P V1))=> x30) as proof of False
% 174.51/174.76  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 174.51/174.76  Found x30:False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 174.51/174.76  Found x10:False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 174.51/174.76  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 174.51/174.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 174.51/174.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 174.51/174.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 174.51/174.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 174.51/174.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 174.51/174.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.59/176.85  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 176.59/176.85  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))
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.59/176.85  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.59/176.85  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.59/176.85  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 176.59/176.85  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 176.59/176.85  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 176.59/176.85  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.59/176.85  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.59/176.85  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 176.59/176.85  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 176.59/176.85  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))
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.59/176.85  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.59/176.85  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.59/176.85  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 176.59/176.85  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.59/176.85  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.59/176.85  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.59/176.85  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))
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.59/176.85  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)
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.97/177.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.97/177.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.97/177.21  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))
% 176.97/177.21  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)
% 176.97/177.21  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)
% 176.97/177.21  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)
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.97/177.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 176.97/177.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 176.97/177.21  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 176.97/177.21  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))
% 176.97/177.21  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)
% 176.97/177.21  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)
% 176.97/177.21  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)
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.97/177.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.97/177.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 176.97/177.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 176.97/177.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 176.97/177.21  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 176.97/177.21  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 176.97/177.21  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))
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 186.40/186.68  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 186.40/186.68  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 186.40/186.68  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 186.40/186.68  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 186.40/186.68  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 186.40/186.68  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 186.40/186.68  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 186.40/186.68  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 186.40/186.68  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))
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 186.40/186.68  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 186.40/186.68  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 186.40/186.68  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 186.40/186.68  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 186.40/186.68  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 186.40/186.68  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 186.40/186.68  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 186.40/186.68  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 186.40/186.68  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))
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  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)
% 186.40/186.68  Found x30:False
% 186.40/186.68  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 186.40/186.68  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x30) as proof of ((P V1)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x10) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x5:(((R W) V1)->False))=> x30) as proof of ((((R W) V1)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of False
% 204.65/204.92  Found (fun (x5:(P V1))=> x10) as proof of ((P V1)->False)
% 204.65/204.92  Found x50:False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 204.65/204.92  Found x50:False
% 204.65/204.92  Found (fun (x7:(P V2))=> x50) as proof of False
% 204.65/204.92  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 204.65/204.92  Found x30:False
% 204.65/204.92  Found (fun (x7:(P V2))=> x30) as proof of False
% 204.65/204.92  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 204.65/204.92  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 204.65/204.92  Found x10:False
% 204.65/204.92  Found (fun (x7:(P V2))=> x10) as proof of False
% 204.65/204.92  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 227.69/227.97  Found x10:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 227.69/227.97  Found x30:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 227.69/227.97  Found x50:False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of False
% 227.69/227.97  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x50:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 237.68/237.96  Found x30:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x30) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 237.68/237.96  Found x30:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x30:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x30) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x30) as proof of ((P V2)->False)
% 237.68/237.96  Found x30:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x30) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x50:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x50) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(((R W) V2)->False))=> x10) as proof of ((((R W) V2)->False)->False)
% 237.68/237.96  Found x50:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x50) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x50) as proof of ((P V2)->False)
% 237.68/237.96  Found x10:False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of False
% 237.68/237.96  Found (fun (x7:(P V2))=> x10) as proof of ((P V2)->False)
% 237.68/237.96  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 237.68/237.96  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 237.68/237.96  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 237.68/237.96  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 237.68/237.96  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))
% 237.68/237.96  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)
% 237.68/237.96  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)
% 237.68/237.96  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)
% 237.68/237.96  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 237.68/237.96  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 237.68/237.96  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 237.68/237.96  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 237.68/237.96  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 250.82/251.12  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))
% 250.82/251.12  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)
% 250.82/251.12  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)
% 250.82/251.12  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)
% 250.82/251.12  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 250.86/251.13  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 250.86/251.13  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 250.86/251.13  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 250.86/251.13  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 250.86/251.13  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 250.86/251.13  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 250.86/251.13  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 250.86/251.13  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 250.86/251.13  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))
% 250.86/251.13  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)
% 250.86/251.13  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)
% 250.86/251.13  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) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 250.86/251.13  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 250.86/251.13  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 250.86/251.13  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 250.86/251.13  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 250.86/251.13  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 250.86/251.13  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 250.86/251.13  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 250.86/251.13  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 250.86/251.13  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 250.86/251.13  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))
% 250.86/251.13  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)
% 250.86/251.13  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)
% 250.86/251.13  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)
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  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))
% 254.76/255.09  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)
% 254.76/255.09  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)
% 254.76/255.09  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)
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  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))
% 254.76/255.09  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)
% 254.76/255.09  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)
% 254.76/255.09  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)
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 254.76/255.09  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 254.76/255.09  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 254.76/255.09  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 254.76/255.09  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))
% 254.76/255.09  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)
% 255.13/255.44  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)
% 255.13/255.44  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)
% 255.13/255.44  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.13/255.44  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 255.13/255.44  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.13/255.44  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.13/255.44  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))
% 255.13/255.44  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)
% 255.13/255.44  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)
% 255.13/255.44  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)
% 255.13/255.44  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 255.13/255.44  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 255.13/255.44  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 255.13/255.44  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 255.13/255.44  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 255.13/255.44  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 255.13/255.44  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 255.13/255.44  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))
% 255.13/255.44  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)
% 255.13/255.44  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)
% 255.13/255.44  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)
% 255.13/255.44  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.13/255.44  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.13/255.44  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 255.36/255.69  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.36/255.69  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.36/255.69  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))
% 255.36/255.69  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)
% 255.36/255.69  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)
% 255.36/255.69  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) x30)) ((R W) V0)))) (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)))) as proof of ((R W) V0)
% 255.36/255.69  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 255.36/255.69  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 255.36/255.69  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 255.36/255.69  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 255.36/255.69  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 255.36/255.69  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 255.36/255.69  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 255.36/255.69  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 255.36/255.69  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 255.36/255.69  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))
% 255.36/255.69  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)
% 255.36/255.69  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)
% 255.36/255.69  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)
% 255.36/255.69  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.36/255.69  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.36/255.69  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 255.36/255.69  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 255.36/255.69  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 255.36/255.69  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 255.36/255.69  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))
% 255.36/255.69  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)
% 255.36/255.69  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)
% 263.45/263.76  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)
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 263.45/263.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 263.45/263.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 263.45/263.76  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))
% 263.45/263.76  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)
% 263.45/263.76  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)
% 263.45/263.76  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)
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.45/263.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.45/263.76  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.45/263.76  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.45/263.76  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))
% 263.45/263.76  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)
% 263.45/263.76  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)
% 263.45/263.76  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)
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 263.45/263.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 263.45/263.76  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 263.45/263.76  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 263.45/263.76  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 263.45/263.76  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 263.66/263.95  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 263.66/263.95  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))
% 263.66/263.95  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)
% 263.66/263.95  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)
% 263.66/263.95  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)
% 263.66/263.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.66/263.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 263.66/263.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.66/263.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.66/263.95  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))
% 263.66/263.95  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)
% 263.66/263.95  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)
% 263.66/263.95  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)
% 263.66/263.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.66/263.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 263.66/263.95  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 263.66/263.95  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 263.66/263.95  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 263.66/263.95  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))
% 263.66/263.95  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)
% 263.66/263.95  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)
% 263.66/263.95  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)
% 276.87/277.17  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.17  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.17  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 276.87/277.17  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.17  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.17  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))
% 276.87/277.17  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)
% 276.87/277.17  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)
% 276.87/277.17  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)
% 276.87/277.17  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.17  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.17  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.17  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 276.87/277.18  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.18  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.18  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))
% 276.87/277.18  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)
% 276.87/277.18  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)
% 276.87/277.18  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)
% 276.87/277.18  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.18  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.18  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 276.87/277.18  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 276.87/277.18  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 276.87/277.18  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 276.87/277.18  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))
% 276.87/277.18  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)
% 292.16/292.49  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)
% 292.16/292.49  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)
% 292.16/292.49  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 292.16/292.49  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 292.16/292.49  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 292.16/292.49  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 292.16/292.49  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 292.16/292.49  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 292.16/292.49  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 292.16/292.49  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 292.16/292.49  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 292.16/292.49  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))
% 292.16/292.49  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)
% 292.16/292.49  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)
% 292.16/292.49  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)
% 292.16/292.49  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 292.16/292.49  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 292.16/292.49  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 292.16/292.49  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 292.16/292.49  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 292.16/292.49  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))
% 292.16/292.49  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)
% 292.16/292.49  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)
% 292.16/292.49  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)
% 292.16/292.49  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 292.16/292.49  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 292.16/292.49  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 294.16/294.46  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.16/294.46  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  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))
% 294.16/294.46  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)
% 294.16/294.46  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)
% 294.16/294.46  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)
% 294.16/294.46  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.16/294.46  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 294.16/294.46  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.16/294.46  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  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))
% 294.16/294.46  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)
% 294.16/294.46  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)
% 294.16/294.46  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)
% 294.16/294.46  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.16/294.46  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 294.16/294.46  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.16/294.46  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 294.16/294.46  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 294.16/294.46  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))
% 294.16/294.46  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)
% 294.16/294.46  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)
% 294.84/295.21  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)
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 294.84/295.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 294.84/295.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 294.84/295.21  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))
% 294.84/295.21  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)
% 294.84/295.21  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)
% 294.84/295.21  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)
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.84/295.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 294.84/295.21  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 294.84/295.21  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 294.84/295.21  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))
% 294.84/295.21  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)
% 294.84/295.21  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)
% 294.84/295.21  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)
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 294.84/295.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 294.84/295.21  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 294.84/295.21  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 294.84/295.21  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 294.84/295.21  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 295.17/295.48  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 295.17/295.48  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))
% 295.17/295.48  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)
% 295.17/295.48  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)
% 295.17/295.48  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)
% 295.17/295.48  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 295.17/295.48  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 295.17/295.48  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 295.17/295.48  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 295.17/295.48  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((P V1)->((R W) V))
% 295.17/295.48  Found False_rect00:=(False_rect0 ((R W) V)):((R W) V)
% 295.17/295.48  Found (False_rect0 ((R W) V)) as proof of ((R W) V)
% 295.17/295.48  Found ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V)) as proof of ((R W) V)
% 295.17/295.48  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x10)) ((R W) V))) as proof of ((R W) V)
% 295.17/295.48  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))
% 295.17/295.48  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)
% 295.17/295.48  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)
% 295.17/295.48  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)
% 295.17/295.48  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 295.17/295.48  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 295.17/295.48  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 295.17/295.48  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 295.17/295.48  Found (fun (x5:(P V1))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((P V1)->((R W) V0))
% 295.17/295.48  Found False_rect00:=(False_rect0 ((R W) V0)):((R W) V0)
% 295.17/295.48  Found (False_rect0 ((R W) V0)) as proof of ((R W) V0)
% 295.17/295.48  Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0)) as proof of ((R W) V0)
% 295.17/295.48  Found (fun (x5:(((R W) V1)->False))=> ((fun (P0:Type)=> ((False_rect P0) x30)) ((R W) V0))) as proof of ((R W) V0)
% 295.17/295.48  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))
% 295.17/295.48  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)
% 295.17/295.48  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)
% 295.17/295.48  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) x
%------------------------------------------------------------------------------