TSTP Solution File: SYO421^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO421^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 00:51:23 EDT 2022
% Result : Timeout 291.54s 291.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO421^1 : TPTP v7.5.0. Released v4.0.0.
% 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 : Sat Mar 12 14:14:12 EST 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.18/0.34 Python 2.7.5
% 0.46/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.46/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8eb00>, <kernel.Type object at 0x2b3ccbc8ea28>) of role type named mu_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mu:Type
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8ebd8>, <kernel.DependentProduct object at 0x2b3ccbc8eb00>) of role type named meq_ind_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.46/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.46/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.46/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8eb00>, <kernel.DependentProduct object at 0x2b3ccbc8eab8>) of role type named meq_prop_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.46/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8eb48>, <kernel.DependentProduct object at 0x2b3ccbc8ebd8>) of role type named mnot_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.46/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8ebd8>, <kernel.DependentProduct object at 0x2b3ccbc8e320>) of role type named mor_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.46/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8e320>, <kernel.DependentProduct object at 0x2b3ccbc8e5a8>) of role type named mand_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.46/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b3ccbc8e5a8>, <kernel.DependentProduct object at 0x2b3ccbc8e3b0>) of role type named mimplies_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.47/0.63 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3ccbc8e3b0>, <kernel.DependentProduct object at 0x2b3ccbc8e7e8>) of role type named mimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.47/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3ccbc8e7e8>, <kernel.DependentProduct object at 0x2b3ccbc8ebd8>) of role type named mequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.47/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3ccbc8ebd8>, <kernel.DependentProduct object at 0x2b3ccbc8e320>) of role type named mxor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.47/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3ccbc8e128>, <kernel.DependentProduct object at 0x2b3ccbc8e560>) of role type named mforall_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.47/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3ccbc8e560>, <kernel.DependentProduct object at 0x2b3ccbc8e200>) of role type named mforall_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.47/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.47/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b3cd3761170>, <kernel.DependentProduct object at 0x2b3ccbc8e908>) of role type named mexists_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.47/0.64 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.47/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3cd3761c68>, <kernel.DependentProduct object at 0x2b3ccbc8e200>) of role type named mexists_prop_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.64 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.47/0.64 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.47/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3ccbc8e200>, <kernel.DependentProduct object at 0x2b3ccbc8e5a8>) of role type named mtrue_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtrue:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.47/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3ccbc8e5a8>, <kernel.DependentProduct object at 0x2b3ccbc8e368>) of role type named mfalse_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfalse:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.47/0.64 Defined: mfalse:=(mnot mtrue)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3ccbc8ebd8>, <kernel.DependentProduct object at 0x2b3ccbc8e998>) of role type named mbox_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.47/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3ccbc8e998>, <kernel.DependentProduct object at 0x2b3ccbc8e0e0>) of role type named mdia_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.47/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b3ccbc8e1b8>, <kernel.DependentProduct object at 0x2b3ccbc8e128>) of role type named mreflexive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b3ccbc8ebd8>, <kernel.DependentProduct object at 0x2b3cd375fcb0>) of role type named msymmetric_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b3ccbc8e7a0>, <kernel.DependentProduct object at 0x2b3cd375fdd0>) of role type named mserial_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b3ccbc8e7a0>, <kernel.DependentProduct object at 0x2b3cd375fcb0>) of role type named mtransitive_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b3ccbc8e7a0>, <kernel.DependentProduct object at 0xea62d8>) of role type named meuclidean_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xea6f38>, <kernel.DependentProduct object at 0x2b3cd375fcb0>) of role type named mpartially_functional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xea6200>, <kernel.DependentProduct object at 0x2b3cd375fe60>) of role type named mfunctional_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xea6200>, <kernel.DependentProduct object at 0x2b3cd375fcb0>) of role type named mweakly_dense_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0xea6200>, <kernel.DependentProduct object at 0x2b3cd375f4d0>) of role type named mweakly_connected_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b3cd375f4d0>, <kernel.DependentProduct object at 0x2b3cd375f170>) of role type named mweakly_directed_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b3cd375fb48>, <kernel.DependentProduct object at 0x2b3cd375f638>) of role type named mvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3cd375f4d0>, <kernel.DependentProduct object at 0x2b3ccbc8c200>) of role type named minvalid_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3cd375f7e8>, <kernel.DependentProduct object at 0x2b3ccbc8c5f0>) of role type named msatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3cd375fc20>, <kernel.DependentProduct object at 0x2b3ccbc8c5f0>) of role type named mcountersatisfiable_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3ccbc8ef38>, <kernel.DependentProduct object at 0x2b3ccbc8ed40>) of role type named rel_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring rel_d:(fofType->(fofType->Prop))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3ccbc8ee60>, <kernel.DependentProduct object at 0x2b3ccbc8eea8>) of role type named mbox_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))) of role definition named mbox_d
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_d) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))))
% 0.47/0.67 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.47/0.67 FOF formula (<kernel.Constant object at 0x2b3ccbc8eea8>, <kernel.DependentProduct object at 0x2b3ccbc8eb90>) of role type named mdia_d_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.47/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.47/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.47/0.67 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.47/0.67 FOF formula (mserial rel_d) of role axiom named a1
% 0.47/0.67 A new axiom: (mserial rel_d)
% 0.47/0.67 FOF formula (<kernel.Constant object at 0xea3368>, <kernel.DependentProduct object at 0xea3098>) of role type named p_type
% 0.47/0.67 Using role type
% 0.47/0.67 Declaring p:(fofType->Prop)
% 0.47/0.67 FOF formula (mvalid (mnot ((mand (mbox_d p)) (mbox_d (mnot p))))) of role conjecture named prove
% 0.47/0.67 Conjecture to prove = (mvalid (mnot ((mand (mbox_d p)) (mbox_d (mnot p))))):Prop
% 0.47/0.67 Parameter mu_DUMMY:mu.
% 0.47/0.67 Parameter fofType_DUMMY:fofType.
% 0.47/0.67 We need to prove ['(mvalid (mnot ((mand (mbox_d p)) (mbox_d (mnot p)))))']
% 0.47/0.67 Parameter mu:Type.
% 0.47/0.67 Parameter fofType:Type.
% 0.47/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.67 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))).
% 0.47/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 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).
% 0.47/0.67 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).
% 0.47/0.67 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).
% 0.47/0.67 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).
% 0.47/0.67 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).
% 0.47/0.67 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).
% 18.30/18.49 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).
% 18.30/18.49 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 18.30/18.49 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 18.30/18.49 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 18.30/18.49 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 18.30/18.49 Parameter rel_d:(fofType->(fofType->Prop)).
% 18.30/18.49 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 18.30/18.49 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 18.30/18.49 Axiom a1:(mserial rel_d).
% 18.30/18.49 Parameter p:(fofType->Prop).
% 18.30/18.49 Trying to prove (mvalid (mnot ((mand (mbox_d p)) (mbox_d (mnot p)))))
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 18.30/18.49 Found x10:False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 18.30/18.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 23.06/23.23 Found x10:False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 23.06/23.23 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(p V0))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(p V0))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(p V1))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(p V1))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(p V1))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 44.69/44.91 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:(p V1))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 44.69/44.91 Found x20:False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 44.69/44.91 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 44.69/44.91 Found x10:False
% 44.69/44.91 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(p V1))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(p V1))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(p V1))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(p V1))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 45.14/45.36 Found x20:False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 45.14/45.36 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 45.14/45.36 Found x10:False
% 45.14/45.36 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(p V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(p V1))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(p V1))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(p V1))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(p V1))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 61.19/61.43 Found x20:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(p V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 61.19/61.43 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 61.19/61.43 Found x10:False
% 61.19/61.43 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(p V1))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(p V1))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x20:False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 98.25/98.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x3:(p V1))=> x10) as proof of False
% 98.25/98.49 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 98.25/98.49 Found x10:False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 98.25/98.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 98.25/98.49 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 98.25/98.49 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.25/98.49 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 98.29/98.50 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 98.29/98.50 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 98.29/98.50 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 98.29/98.50 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 98.29/98.50 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 98.29/98.50 Found False_rect00:=(False_rect0 (p V)):(p V)
% 98.29/98.50 Found (False_rect0 (p V)) as proof of (p V)
% 98.29/98.50 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 98.29/98.50 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 98.29/98.50 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 98.29/98.50 Found False_rect00:=(False_rect0 (p V)):(p V)
% 98.29/98.50 Found (False_rect0 (p V)) as proof of (p V)
% 98.29/98.50 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 98.29/98.50 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 98.29/98.50 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 98.29/98.50 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 98.29/98.50 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 98.29/98.50 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 98.29/98.50 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 98.29/98.50 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 98.29/98.50 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 98.29/98.50 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.00 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.00 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.00 Found False_rect00:=(False_rect0 (p V)):(p V)
% 101.72/102.00 Found (False_rect0 (p V)) as proof of (p V)
% 101.72/102.00 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 101.72/102.00 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 101.72/102.00 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 101.72/102.00 Found False_rect00:=(False_rect0 (p V)):(p V)
% 101.72/102.00 Found (False_rect0 (p V)) as proof of (p V)
% 101.72/102.00 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 101.72/102.00 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 101.72/102.00 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 101.72/102.00 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 101.72/102.00 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 101.72/102.00 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 101.72/102.00 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 101.72/102.00 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.00 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.00 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 101.72/102.00 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 101.72/102.00 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 101.72/102.00 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.00 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.00 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 101.72/102.00 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 101.72/102.00 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.00 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.00 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.00 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 101.72/102.00 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.02 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 101.72/102.02 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 101.72/102.02 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 101.72/102.02 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 101.72/102.02 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.02 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.02 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 101.72/102.02 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 101.72/102.02 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 101.72/102.02 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 101.72/102.02 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 101.72/102.02 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 101.72/102.02 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 101.72/102.02 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.02 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.02 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 101.72/102.02 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 101.72/102.02 Found (False_rect0 (p V0)) as proof of (p V0)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 101.72/102.02 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 101.72/102.02 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 101.72/102.02 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 101.72/102.02 Found (False_rect0 (p V0)) as proof of (p V0)
% 101.72/102.02 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 101.72/102.02 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 107.61/107.84 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 107.61/107.84 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 107.61/107.84 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 107.61/107.84 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 107.61/107.84 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.61/107.84 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.61/107.84 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 107.61/107.84 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 107.61/107.84 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 107.61/107.84 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.61/107.84 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 107.61/107.84 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 107.61/107.84 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 107.61/107.84 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.61/107.84 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.61/107.84 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 107.61/107.84 Found False_rect00:=(False_rect0 (p V)):(p V)
% 107.61/107.84 Found (False_rect0 (p V)) as proof of (p V)
% 107.61/107.84 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 107.61/107.84 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 107.61/107.84 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 107.61/107.84 Found False_rect00:=(False_rect0 (p V)):(p V)
% 107.61/107.84 Found (False_rect0 (p V)) as proof of (p V)
% 107.61/107.84 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 107.61/107.84 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 107.61/107.84 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 107.61/107.84 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 107.61/107.84 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 107.61/107.84 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 107.61/107.84 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 107.61/107.84 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.29 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.29 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 112.08/112.29 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.08/112.29 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.29 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.29 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 112.08/112.29 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.08/112.30 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.30 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.30 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.30 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 112.08/112.30 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.08/112.30 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.30 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.30 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.30 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 112.08/112.30 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.30 Found False_rect00:=(False_rect0 (p V)):(p V)
% 112.08/112.30 Found (False_rect0 (p V)) as proof of (p V)
% 112.08/112.30 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 112.08/112.30 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 112.08/112.30 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 112.08/112.30 Found False_rect00:=(False_rect0 (p V)):(p V)
% 112.08/112.30 Found (False_rect0 (p V)) as proof of (p V)
% 112.08/112.30 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 112.08/112.30 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 112.08/112.30 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 112.08/112.34 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 112.08/112.34 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 112.08/112.34 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 112.08/112.34 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 112.08/112.34 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.08/112.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.08/112.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 112.08/112.34 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 112.08/112.34 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 112.08/112.34 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.08/112.34 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.08/112.34 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 112.08/112.34 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 112.08/112.34 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 112.08/112.34 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 112.08/112.34 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 112.08/112.34 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.08/112.34 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.34 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.34 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 112.08/112.34 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.08/112.34 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.34 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.08/112.34 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.08/112.34 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 112.08/112.34 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.34 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.08/112.34 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.14/112.36 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.14/112.36 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.14/112.36 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.14/112.36 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 112.14/112.36 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 112.14/112.36 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 112.14/112.36 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 112.14/112.36 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 112.14/112.36 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.14/112.36 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.14/112.36 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 112.14/112.36 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 112.14/112.36 Found (False_rect0 (p V0)) as proof of (p V0)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 112.14/112.36 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 112.14/112.36 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 112.14/112.36 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 112.14/112.36 Found (False_rect0 (p V0)) as proof of (p V0)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 112.14/112.36 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 112.14/112.36 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 112.14/112.36 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 112.14/112.36 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 112.14/112.36 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 112.14/112.36 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 112.14/112.36 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.14/112.36 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 112.14/112.36 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 112.14/112.36 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 112.14/112.36 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.14/112.36 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 112.14/112.36 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 117.43/117.66 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 117.43/117.66 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 117.43/117.66 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.43/117.66 Found x10:False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.43/117.66 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.43/117.66 Found x20:False
% 117.43/117.66 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x20:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 117.45/117.67 Found x10:False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 117.45/117.67 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 117.45/117.67 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 127.37/127.63 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x2:(p V0))=> x10) as proof of False
% 127.37/127.63 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 127.37/127.63 Found x20:False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of False
% 127.37/127.63 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 127.37/127.63 Found x10:False
% 127.37/127.63 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x20:False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x20:False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x20:False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 139.54/139.77 Found x10:False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 139.54/139.77 Found x10:False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x20:False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 139.54/139.77 Found x20:False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x10:False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 139.54/139.77 Found x10:False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 139.54/139.77 Found False_rect00:=(False_rect0 (p V)):(p V)
% 139.54/139.77 Found (False_rect0 (p V)) as proof of (p V)
% 139.54/139.77 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 139.54/139.77 Found False_rect00:=(False_rect0 (p V)):(p V)
% 139.54/139.77 Found (False_rect0 (p V)) as proof of (p V)
% 139.54/139.77 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 139.54/139.77 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 139.54/139.77 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 139.54/139.77 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 139.54/139.77 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 139.54/139.77 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 139.54/139.77 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 139.54/139.77 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 139.54/139.77 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 139.54/139.77 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 139.54/139.77 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 139.54/139.77 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 139.54/139.77 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.37 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 147.09/147.37 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.37 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 147.09/147.37 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.37 Found False_rect00:=(False_rect0 (p V)):(p V)
% 147.09/147.37 Found (False_rect0 (p V)) as proof of (p V)
% 147.09/147.37 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 147.09/147.37 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 147.09/147.37 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 147.09/147.37 Found False_rect00:=(False_rect0 (p V)):(p V)
% 147.09/147.37 Found (False_rect0 (p V)) as proof of (p V)
% 147.09/147.37 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 147.09/147.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 147.09/147.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 147.09/147.37 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 147.09/147.37 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 147.09/147.37 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 147.09/147.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 147.09/147.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 147.09/147.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 147.09/147.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 147.09/147.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 147.09/147.38 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 147.09/147.38 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 147.09/147.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 147.09/147.38 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 147.09/147.38 Found (False_rect0 (p V0)) as proof of (p V0)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 147.09/147.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 147.09/147.38 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 147.09/147.38 Found (False_rect0 (p V0)) as proof of (p V0)
% 147.09/147.38 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 147.09/147.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 147.09/147.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 147.09/147.38 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 147.09/147.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 159.40/159.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 159.40/159.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 159.40/159.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 159.40/159.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 159.40/159.68 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 159.40/159.68 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 159.40/159.68 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 159.40/159.68 Found False_rect00:=(False_rect0 (p V)):(p V)
% 159.40/159.68 Found (False_rect0 (p V)) as proof of (p V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 159.40/159.68 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 159.40/159.68 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 159.40/159.68 Found False_rect00:=(False_rect0 (p V)):(p V)
% 159.40/159.68 Found (False_rect0 (p V)) as proof of (p V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 159.40/159.68 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 159.40/159.68 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 159.40/159.68 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 159.40/159.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 159.40/159.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 159.40/159.68 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 159.40/159.68 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 159.40/159.68 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 167.19/167.49 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 167.19/167.49 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 167.19/167.49 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of False
% 167.19/167.49 Found (fun (x2:((mnot p) V0))=> x10) as proof of (((mnot p) V0)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x2:(p V0))=> x10) as proof of False
% 167.19/167.49 Found (fun (x2:(p V0))=> x10) as proof of ((p V0)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x2:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(p V1))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(p V1))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 167.19/167.49 Found x20:False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.19/167.49 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 167.19/167.49 Found x10:False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.19/167.49 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 167.25/167.56 Found x10:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of False
% 167.25/167.56 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 167.25/167.56 Found x20:False
% 167.25/167.56 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 168.94/169.23 Found x10:False
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 168.94/169.23 Found x20:False
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 168.94/169.23 Found x10:False
% 168.94/169.23 Found (fun (x3:(p V1))=> x10) as proof of False
% 168.94/169.23 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 168.94/169.23 Found x10:False
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 168.94/169.23 Found False_rect00:=(False_rect0 (p V)):(p V)
% 168.94/169.23 Found (False_rect0 (p V)) as proof of (p V)
% 168.94/169.23 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 168.94/169.23 Found False_rect00:=(False_rect0 (p V)):(p V)
% 168.94/169.23 Found (False_rect0 (p V)) as proof of (p V)
% 168.94/169.23 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 168.94/169.23 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 168.94/169.23 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 168.94/169.23 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 168.94/169.23 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 168.94/169.23 Found (False_rect0 (p V0)) as proof of (p V0)
% 168.94/169.23 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 168.94/169.23 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 168.94/169.23 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 168.94/169.23 Found (False_rect0 (p V0)) as proof of (p V0)
% 168.94/169.23 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 168.94/169.23 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 168.94/169.23 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 168.94/169.23 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 168.94/169.23 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 168.94/169.23 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 168.94/169.23 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 168.94/169.23 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 168.94/169.23 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 168.94/169.23 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 169.09/169.39 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.09/169.39 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 169.09/169.39 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.09/169.39 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 169.09/169.39 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 169.09/169.39 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 169.09/169.39 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 169.09/169.39 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 169.09/169.39 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 169.09/169.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 169.09/169.39 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 169.09/169.39 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 169.09/169.39 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 169.09/169.39 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 169.09/169.39 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 169.09/169.39 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 169.09/169.39 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 182.28/182.55 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 182.28/182.55 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 182.28/182.55 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 182.28/182.55 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 182.28/182.55 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 182.28/182.55 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 182.28/182.55 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 182.28/182.55 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 182.28/182.55 Found x10:False
% 182.28/182.55 Found (fun (x3:(p V1))=> x10) as proof of False
% 182.28/182.55 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 182.28/182.55 Found x10:False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 182.28/182.55 Found x10:False
% 182.28/182.55 Found (fun (x3:(p V1))=> x10) as proof of False
% 182.28/182.55 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 182.28/182.55 Found x10:False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 182.28/182.55 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 182.28/182.55 Found x20:False
% 182.28/182.55 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 182.28/182.55 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(p V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(p V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(p V1))=> x10) as proof of ((p V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(p V1))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(p V1))=> x20) as proof of ((p V1)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x20) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x10) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x20:False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of False
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> x20) as proof of (((mnot p) V1)->False)
% 238.90/239.27 Found x10:False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of False
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 238.90/239.27 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.90/239.27 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.90/239.27 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.90/239.27 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 238.90/239.27 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.90/239.27 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.90/239.27 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.90/239.27 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 238.98/239.37 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.98/239.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 238.98/239.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.98/239.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 238.98/239.37 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.98/239.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 238.98/239.37 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 238.98/239.37 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 238.98/239.37 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 238.98/239.37 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 250.31/250.67 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 250.31/250.67 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.31/250.67 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 250.31/250.67 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.31/250.67 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 250.31/250.67 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.31/250.67 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 250.31/250.67 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.31/250.67 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 250.31/250.67 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.31/250.67 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.31/250.67 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.31/250.67 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 250.37/250.71 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.37/250.71 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 250.37/250.71 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.37/250.71 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 250.37/250.71 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.37/250.71 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 250.37/250.71 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.37/250.71 Found False_rect00:=(False_rect0 (p V)):(p V)
% 250.37/250.71 Found (False_rect0 (p V)) as proof of (p V)
% 250.37/250.71 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 250.37/250.71 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 250.37/250.71 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 250.37/250.71 Found False_rect00:=(False_rect0 (p V)):(p V)
% 250.37/250.71 Found (False_rect0 (p V)) as proof of (p V)
% 250.37/250.71 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 250.37/250.71 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 250.37/250.71 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found False_rect00:=(False_rect0 (p V)):(p V)
% 250.84/251.19 Found (False_rect0 (p V)) as proof of (p V)
% 250.84/251.19 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 250.84/251.19 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 250.84/251.19 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 250.84/251.19 Found False_rect00:=(False_rect0 (p V)):(p V)
% 250.84/251.19 Found (False_rect0 (p V)) as proof of (p V)
% 250.84/251.19 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 250.84/251.19 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 250.84/251.19 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 250.84/251.19 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 250.84/251.19 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.84/251.19 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 250.84/251.19 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.84/251.19 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 250.84/251.19 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.84/251.19 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.84/251.19 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 250.84/251.19 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 250.84/251.19 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 250.84/251.19 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 253.11/253.43 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.11/253.43 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.11/253.43 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 253.11/253.43 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.11/253.43 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.11/253.43 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.11/253.43 Found False_rect00:=(False_rect0 (p V)):(p V)
% 253.11/253.43 Found (False_rect0 (p V)) as proof of (p V)
% 253.11/253.43 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 253.11/253.43 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 253.11/253.43 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 253.11/253.43 Found False_rect00:=(False_rect0 (p V)):(p V)
% 253.11/253.43 Found (False_rect0 (p V)) as proof of (p V)
% 253.11/253.43 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 253.11/253.43 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 253.11/253.43 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 253.11/253.43 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 253.11/253.43 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.11/253.43 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.11/253.43 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.11/253.43 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 253.11/253.43 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 253.11/253.43 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.11/253.43 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.11/253.43 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 253.11/253.43 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 253.11/253.43 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.11/253.43 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.19/253.53 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.19/253.53 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.19/253.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 253.19/253.53 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.19/253.53 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.19/253.53 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.19/253.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 253.19/253.53 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 253.19/253.53 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.19/253.53 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.19/253.53 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.19/253.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.19/253.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 253.19/253.53 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.19/253.53 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.19/253.53 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.19/253.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.19/253.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 253.19/253.53 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.19/253.53 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.19/253.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 253.34/253.70 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 253.34/253.70 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.34/253.70 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 253.34/253.70 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 253.34/253.70 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 253.34/253.70 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 253.34/253.70 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 258.99/259.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 258.99/259.38 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 258.99/259.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 258.99/259.38 Found False_rect00:=(False_rect0 (p V)):(p V)
% 258.99/259.38 Found (False_rect0 (p V)) as proof of (p V)
% 258.99/259.38 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 258.99/259.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 258.99/259.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 258.99/259.38 Found False_rect00:=(False_rect0 (p V)):(p V)
% 258.99/259.38 Found (False_rect0 (p V)) as proof of (p V)
% 258.99/259.38 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 258.99/259.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 258.99/259.38 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 258.99/259.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 258.99/259.38 Found False_rect00:=(False_rect0 (p V)):(p V)
% 258.99/259.38 Found (False_rect0 (p V)) as proof of (p V)
% 258.99/259.38 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 258.99/259.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 258.99/259.38 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 258.99/259.38 Found False_rect00:=(False_rect0 (p V)):(p V)
% 258.99/259.38 Found (False_rect0 (p V)) as proof of (p V)
% 258.99/259.38 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 258.99/259.38 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 258.99/259.38 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 258.99/259.38 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 258.99/259.38 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 259.20/259.59 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.20/259.59 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.20/259.59 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.20/259.59 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 259.20/259.59 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.20/259.59 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.20/259.59 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.20/259.59 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.20/259.59 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.20/259.59 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.20/259.59 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.20/259.59 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.20/259.59 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.20/259.59 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.20/259.59 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 259.20/259.59 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.20/259.59 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.20/259.59 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.20/259.59 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 259.20/259.59 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.20/259.59 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.20/259.59 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.20/259.59 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.20/259.59 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.20/259.59 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.20/259.59 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 259.20/259.59 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.20/259.59 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.20/259.59 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.20/259.59 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.29/259.60 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 259.29/259.60 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.60 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.60 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.60 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.60 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 259.29/259.60 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.60 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 259.29/259.60 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.60 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 259.29/259.60 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.60 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 259.29/259.60 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.60 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.61 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.29/259.61 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.29/259.61 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.29/259.61 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.29/259.61 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 259.29/259.61 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.29/259.61 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.29/259.61 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.29/259.61 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.29/259.61 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 259.29/259.61 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.61 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.61 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.29/259.61 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.61 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 259.29/259.61 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.61 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.29/259.61 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.61 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.61 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.61 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.61 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.61 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 259.29/259.61 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.61 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.29/259.64 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.64 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 259.29/259.64 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.29/259.64 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.29/259.64 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.29/259.64 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.64 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.64 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.64 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.64 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 259.29/259.64 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.29/259.64 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.64 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.29/259.64 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 259.29/259.64 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.29/259.64 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found False_rect00:=(False_rect0 (p V)):(p V)
% 259.38/259.73 Found (False_rect0 (p V)) as proof of (p V)
% 259.38/259.73 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 259.38/259.73 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 259.38/259.73 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 259.38/259.73 Found False_rect00:=(False_rect0 (p V)):(p V)
% 259.38/259.73 Found (False_rect0 (p V)) as proof of (p V)
% 259.38/259.73 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 259.38/259.73 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 259.38/259.73 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 259.38/259.73 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 259.38/259.73 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 259.38/259.73 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 259.38/259.73 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.38/259.73 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.38/259.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.38/259.73 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 259.38/259.73 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 259.38/259.73 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.38/259.73 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 259.38/259.73 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 259.38/259.73 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 259.38/259.73 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.38/259.73 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.73 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.73 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 259.38/259.74 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.38/259.74 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.38/259.74 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.38/259.74 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.38/259.74 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 259.38/259.74 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.38/259.74 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.38/259.74 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.38/259.74 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.38/259.74 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 259.38/259.74 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 259.38/259.74 Found (False_rect0 (p V0)) as proof of (p V0)
% 259.38/259.74 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 259.38/259.74 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.38/259.74 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.38/259.74 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 259.38/259.74 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.38/259.74 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 259.38/259.74 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 259.38/259.74 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 259.38/259.74 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 259.38/259.74 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 266.69/267.03 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 266.69/267.03 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 266.69/267.03 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 266.69/267.03 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 266.69/267.03 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 266.69/267.03 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 266.69/267.03 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 266.69/267.03 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 266.69/267.03 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 266.69/267.03 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 266.69/267.03 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 266.69/267.03 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 278.79/279.17 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 278.79/279.17 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 278.79/279.17 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 278.79/279.17 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 278.79/279.17 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 278.79/279.17 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 278.79/279.17 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 279.07/279.45 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.07/279.45 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 279.07/279.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.07/279.45 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 279.07/279.45 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.07/279.45 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 279.07/279.45 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 279.07/279.45 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 279.07/279.45 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 279.07/279.45 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.12/281.46 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.12/281.46 Found False_rect00:=(False_rect0 (p V)):(p V)
% 281.12/281.46 Found (False_rect0 (p V)) as proof of (p V)
% 281.12/281.46 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 281.12/281.46 Found False_rect00:=(False_rect0 (p V)):(p V)
% 281.12/281.46 Found (False_rect0 (p V)) as proof of (p V)
% 281.12/281.46 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 281.12/281.46 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 281.12/281.46 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 281.12/281.46 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.46 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.46 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.12/281.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.46 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 281.12/281.46 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.12/281.46 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.46 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.46 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.12/281.46 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 281.12/281.46 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.12/281.46 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.12/281.46 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.12/281.46 Found False_rect00:=(False_rect0 (p V)):(p V)
% 281.12/281.46 Found (False_rect0 (p V)) as proof of (p V)
% 281.12/281.46 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 281.12/281.46 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 281.12/281.47 Found False_rect00:=(False_rect0 (p V)):(p V)
% 281.12/281.47 Found (False_rect0 (p V)) as proof of (p V)
% 281.12/281.47 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 281.12/281.47 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.47 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.47 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 281.12/281.47 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 281.12/281.47 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.12/281.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.12/281.47 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 281.12/281.47 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 281.12/281.47 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 281.12/281.47 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.12/281.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 281.12/281.47 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.12/281.47 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.12/281.47 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.12/281.47 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.12/281.47 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.47 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.12/281.47 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 281.12/281.47 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.12/281.47 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.47 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.12/281.47 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 281.12/281.47 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 281.18/281.53 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.18/281.53 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.18/281.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 281.18/281.53 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 281.18/281.53 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 281.18/281.53 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.18/281.53 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 281.18/281.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 281.18/281.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 281.18/281.53 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.18/281.53 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.18/281.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 281.18/281.53 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.18/281.53 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.18/281.53 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 281.18/281.53 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 281.18/281.53 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.18/281.53 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 281.18/281.53 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 281.18/281.53 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 291.54/291.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 291.54/291.92 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 291.54/291.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 291.54/291.92 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.54/291.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 291.54/291.92 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.54/291.92 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.54/291.92 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.79/292.14 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 291.79/292.14 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.14 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.14 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.79/292.14 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.79/292.14 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.14 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.14 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.79/292.14 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 291.79/292.14 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.79/292.14 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.14 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.79/292.14 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.79/292.14 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 291.79/292.14 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.14 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.14 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.79/292.14 Found False_rect00:=(False_rect0 (p V)):(p V)
% 291.79/292.14 Found (False_rect0 (p V)) as proof of (p V)
% 291.79/292.14 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 291.79/292.14 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 291.79/292.14 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 291.79/292.14 Found False_rect00:=(False_rect0 (p V)):(p V)
% 291.79/292.14 Found (False_rect0 (p V)) as proof of (p V)
% 291.79/292.14 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 291.79/292.14 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 291.79/292.14 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 291.79/292.14 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 291.79/292.14 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 291.79/292.14 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 291.85/292.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.85/292.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 291.85/292.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.85/292.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 291.85/292.18 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.85/292.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((p V1)->((rel_d W) V0))
% 291.85/292.18 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 291.85/292.18 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V0))
% 291.85/292.18 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found (((or_ind2 ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)))) as proof of ((rel_d W) V0)
% 291.85/292.18 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.85/292.18 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.18 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.18 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.85/292.18 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of (((mnot p) V1)->((rel_d W) V))
% 291.85/292.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.85/292.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 291.85/292.20 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.85/292.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((p V1)->((rel_d W) V))
% 291.85/292.20 Found False_rect00:=(False_rect0 ((rel_d W) V)):((rel_d W) V)
% 291.85/292.20 Found (False_rect0 ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((rel_d W) V)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V))) as proof of ((((rel_d W) V1)->False)->((rel_d W) V))
% 291.85/292.20 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found (((or_ind2 ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:((p V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) (p V1)) P) x3) x4) x02)) ((rel_d W) V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) (fun (x3:(p V1))=> ((fun (P:Type)=> ((False_rect P) x20)) ((rel_d W) V)))) as proof of ((rel_d W) V)
% 291.85/292.20 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 291.85/292.20 Found (False_rect0 (p V0)) as proof of (p V0)
% 291.85/292.20 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 291.85/292.20 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 291.85/292.20 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 291.85/292.20 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 291.85/292.20 Found (False_rect0 (p V0)) as proof of (p V0)
% 291.85/292.20 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 291.85/292.20 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 291.85/292.20 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 291.85/292.20 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 293.15/293.49 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 293.15/293.49 Found False_rect00:=(False_rect0 (p V)):(p V)
% 293.15/293.49 Found (False_rect0 (p V)) as proof of (p V)
% 293.15/293.49 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (((mnot p) V1)->(p V))
% 293.15/293.49 Found False_rect00:=(False_rect0 (p V)):(p V)
% 293.15/293.49 Found (False_rect0 (p V)) as proof of (p V)
% 293.15/293.49 Found ((fun (P:Type)=> ((False_rect P) x20)) (p V)) as proof of (p V)
% 293.15/293.49 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of (p V)
% 293.15/293.49 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V))) as proof of ((((rel_d W) V1)->False)->(p V))
% 293.15/293.49 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 293.15/293.49 Found (((or_ind2 (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 293.15/293.49 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x20)) (p V)))) as proof of (p V)
% 293.15/293.49 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 293.15/293.49 Found (False_rect0 (p V0)) as proof of (p V0)
% 293.15/293.49 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (((mnot p) V1)->(p V0))
% 293.15/293.49 Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 293.15/293.49 Found (False_rect0 (p V0)) as proof of (p V0)
% 293.15/293.49 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V0)) as proof of (p V0)
% 293.15/293.49 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of (p V0)
% 293.15/293.49 Found (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0))) as proof of ((((rel_d W) V1)->False)->(p V0))
% 293.15/293.49 Found ((or_ind20 (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 293.15/293.49 Found (((or_ind2 (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 293.15/293.49 Found ((((fun (P:Prop) (x3:((((rel_d W) V1)->False)->P)) (x4:(((mnot p) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot p) V1)) P) x3) x4) x02)) (p V0)) (fun (x3:(((rel_d W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) (p V0)))) as proof of (p V0)
% 293.15/293.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 293.15/293.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.15/293.49 Found ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of ((rel_d W) V0)
% 293.15/293.49 Found (fun (x3:((mnot p) V1))=> ((fun (P:Type)=> ((False_rect P) x10)) ((rel_d W) V0))) as proof of (((mnot p) V1)->((rel_d W) V0))
% 293.15/293.49 Found False_rect00:=(False_rect0 ((rel_d W) V0)):((rel_d W) V0)
% 293.15/293.49 Found (False_rect0 ((rel_d W) V0)) as proof of ((rel_d W) V0)
% 293.15/293.49 Found ((fun (P:Type)=> (
%------------------------------------------------------------------------------