TSTP Solution File: SYO456^2 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO456^2 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/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 00:51:34 EDT 2022
% Result : Timeout 287.38s 287.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO456^2 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/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 20:39:42 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.39/0.56 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.39/0.56 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3b90>, <kernel.Type object at 0x12f3ab8>) of role type named mu_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring mu:Type
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3c68>, <kernel.DependentProduct object at 0x12f3b90>) of role type named meq_ind_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.39/0.56 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
% 0.39/0.56 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.39/0.56 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3b90>, <kernel.DependentProduct object at 0x12f3b48>) of role type named meq_prop_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.56 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
% 0.39/0.56 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))))
% 0.39/0.56 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3bd8>, <kernel.DependentProduct object at 0x12f3c68>) of role type named mnot_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.39/0.56 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.39/0.56 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.39/0.56 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3c68>, <kernel.DependentProduct object at 0x12f33b0>) of role type named mor_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.56 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
% 0.39/0.56 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))))
% 0.39/0.56 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f33b0>, <kernel.DependentProduct object at 0x12f3638>) of role type named mand_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.56 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
% 0.39/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.39/0.56 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.39/0.56 FOF formula (<kernel.Constant object at 0x12f3638>, <kernel.DependentProduct object at 0x12f3440>) of role type named mimplies_type
% 0.39/0.56 Using role type
% 0.39/0.56 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.56 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
% 0.39/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.39/0.56 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x12f3440>, <kernel.DependentProduct object at 0x12f3878>) of role type named mimplied_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.41/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.41/0.56 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x12f3878>, <kernel.DependentProduct object at 0x12f3c68>) of role type named mequiv_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.41/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.41/0.56 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x12f3c68>, <kernel.DependentProduct object at 0x12f33b0>) of role type named mxor_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.56 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.41/0.56 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.41/0.56 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x12f3b90>, <kernel.DependentProduct object at 0x12f3878>) of role type named mforall_ind_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.56 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.41/0.56 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.41/0.56 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x2ad2ffa579e0>, <kernel.DependentProduct object at 0x12f3128>) of role type named mforall_prop_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.41/0.56 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.41/0.56 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.41/0.56 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.41/0.56 FOF formula (<kernel.Constant object at 0x2ad307554680>, <kernel.DependentProduct object at 0x12f3ab8>) of role type named mexists_ind_type
% 0.41/0.56 Using role type
% 0.41/0.56 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.56 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.41/0.56 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)))))))
% 0.41/0.57 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x2ad307554638>, <kernel.DependentProduct object at 0x12f3128>) of role type named mexists_prop_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.41/0.57 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
% 0.41/0.57 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)))))))
% 0.41/0.57 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x2ad307554830>, <kernel.DependentProduct object at 0x12f3170>) of role type named mtrue_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mtrue:(fofType->Prop)
% 0.41/0.57 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.41/0.57 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.41/0.57 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x12f3170>, <kernel.DependentProduct object at 0x12f3320>) of role type named mfalse_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mfalse:(fofType->Prop)
% 0.41/0.57 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.41/0.57 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.41/0.57 Defined: mfalse:=(mnot mtrue)
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x12f3ab8>, <kernel.DependentProduct object at 0x12f3128>) of role type named mbox_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.57 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
% 0.41/0.57 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)))))
% 0.41/0.57 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x12f3128>, <kernel.DependentProduct object at 0x12f35f0>) of role type named mdia_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.57 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
% 0.41/0.57 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)))))
% 0.41/0.57 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x12f3440>, <kernel.DependentProduct object at 0x12f36c8>) of role type named mreflexive_type
% 0.41/0.57 Using role type
% 0.41/0.57 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.41/0.57 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.41/0.57 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.41/0.57 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.41/0.57 FOF formula (<kernel.Constant object at 0x12f36c8>, <kernel.DependentProduct object at 0x12f3320>) of role type named msymmetric_type
% 0.41/0.57 Using role type
% 0.41/0.58 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.58 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)))))
% 0.41/0.58 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.41/0.58 FOF formula (<kernel.Constant object at 0x1182c68>, <kernel.DependentProduct object at 0x118af38>) of role type named mserial_type
% 0.41/0.58 Using role type
% 0.41/0.58 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.58 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))))))
% 0.41/0.58 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.41/0.58 FOF formula (<kernel.Constant object at 0x1182c68>, <kernel.DependentProduct object at 0x118aab8>) of role type named mtransitive_type
% 0.41/0.58 Using role type
% 0.41/0.58 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.58 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)))))
% 0.41/0.58 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.41/0.58 FOF formula (<kernel.Constant object at 0x1182c68>, <kernel.DependentProduct object at 0x12f3ab8>) of role type named meuclidean_type
% 0.41/0.58 Using role type
% 0.41/0.58 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.58 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)))))
% 0.41/0.58 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.41/0.58 FOF formula (<kernel.Constant object at 0x12f3128>, <kernel.DependentProduct object at 0x12f3320>) of role type named mpartially_functional_type
% 0.41/0.58 Using role type
% 0.41/0.58 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.58 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)))))
% 0.41/0.58 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))))
% 0.41/0.58 FOF formula (<kernel.Constant object at 0x12f3ab8>, <kernel.DependentProduct object at 0x118a5a8>) of role type named mfunctional_type
% 0.41/0.58 Using role type
% 0.41/0.58 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.41/0.58 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
% 0.41/0.59 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)))))))))
% 0.41/0.59 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))))))))
% 0.41/0.59 FOF formula (<kernel.Constant object at 0x12f3290>, <kernel.DependentProduct object at 0x118a710>) of role type named mweakly_dense_type
% 0.41/0.59 Using role type
% 0.41/0.59 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.41/0.59 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
% 0.41/0.59 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)))))))))
% 0.41/0.59 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))))))))
% 0.41/0.59 FOF formula (<kernel.Constant object at 0x12f3290>, <kernel.DependentProduct object at 0x118a5a8>) of role type named mweakly_connected_type
% 0.41/0.59 Using role type
% 0.41/0.59 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.41/0.59 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
% 0.41/0.59 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))))))
% 0.41/0.59 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)))))
% 0.41/0.59 FOF formula (<kernel.Constant object at 0x12f3128>, <kernel.DependentProduct object at 0x118a5a8>) of role type named mweakly_directed_type
% 0.41/0.59 Using role type
% 0.41/0.59 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.41/0.59 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
% 0.41/0.59 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))))))))
% 0.41/0.59 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)))))))
% 0.41/0.59 FOF formula (<kernel.Constant object at 0x118af38>, <kernel.DependentProduct object at 0x12fc098>) of role type named mvalid_type
% 0.41/0.59 Using role type
% 0.41/0.59 Declaring mvalid:((fofType->Prop)->Prop)
% 0.41/0.59 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.41/0.59 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.41/0.59 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.41/0.59 FOF formula (<kernel.Constant object at 0x118aab8>, <kernel.DependentProduct object at 0x12fc3b0>) of role type named minvalid_type
% 0.41/0.59 Using role type
% 0.41/0.59 Declaring minvalid:((fofType->Prop)->Prop)
% 0.41/0.59 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.41/0.60 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x12fc4d0>, <kernel.DependentProduct object at 0x12fc638>) of role type named msatisfiable_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.41/0.60 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.41/0.60 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x12fc3b0>, <kernel.DependentProduct object at 0x12fc200>) of role type named mcountersatisfiable_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.41/0.60 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.41/0.60 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.41/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x1182ef0>, <kernel.DependentProduct object at 0x12f3ef0>) of role type named rel_d_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring rel_d:(fofType->(fofType->Prop))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x1182d88>, <kernel.DependentProduct object at 0x12f3fc8>) of role type named mbox_d_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.41/0.60 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
% 0.41/0.60 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)))))
% 0.41/0.60 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x1182d88>, <kernel.DependentProduct object at 0x12f3f38>) of role type named mdia_d_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.41/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.41/0.60 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.41/0.60 FOF formula (mserial rel_d) of role axiom named a1
% 0.41/0.60 A new axiom: (mserial rel_d)
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x11878c0>, <kernel.DependentProduct object at 0x2ad307553950>) of role type named p_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring p:(fofType->Prop)
% 0.41/0.60 FOF formula (mvalid ((mimplies (mdia_d (mbox_d (mdia_d (mbox_d p))))) (mdia_d (mbox_d p)))) of role conjecture named prove
% 0.41/0.60 Conjecture to prove = (mvalid ((mimplies (mdia_d (mbox_d (mdia_d (mbox_d p))))) (mdia_d (mbox_d p)))):Prop
% 0.41/0.60 Parameter mu_DUMMY:mu.
% 0.41/0.60 Parameter fofType_DUMMY:fofType.
% 0.41/0.60 We need to prove ['(mvalid ((mimplies (mdia_d (mbox_d (mdia_d (mbox_d p))))) (mdia_d (mbox_d p))))']
% 0.41/0.60 Parameter mu:Type.
% 0.41/0.60 Parameter fofType:Type.
% 0.41/0.60 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.41/0.60 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.41/0.60 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.41/0.60 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.41/0.60 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.41/0.60 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)).
% 0.41/0.60 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.41/0.60 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.41/0.60 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))).
% 0.41/0.60 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.41/0.60 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.41/0.60 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.41/0.60 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 0.41/0.60 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).
% 9.33/9.50 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 9.33/9.50 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 9.33/9.50 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 9.33/9.50 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 9.33/9.50 Parameter rel_d:(fofType->(fofType->Prop)).
% 9.33/9.50 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 9.33/9.50 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 9.33/9.50 Axiom a1:(mserial rel_d).
% 9.33/9.50 Parameter p:(fofType->Prop).
% 9.33/9.50 Trying to prove (mvalid ((mimplies (mdia_d (mbox_d (mdia_d (mbox_d p))))) (mdia_d (mbox_d p))))
% 9.33/9.50 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 9.33/9.50 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 9.33/9.50 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 9.33/9.50 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 9.33/9.50 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 9.33/9.50 Found x10:False
% 9.33/9.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 9.33/9.50 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 9.33/9.50 Found x10:False
% 9.33/9.50 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 21.55/21.73 Found x10:False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 21.55/21.73 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 21.55/21.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 21.55/21.73 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 21.55/21.73 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 21.55/21.73 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 21.55/21.73 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 21.55/21.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 30.97/31.17 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 30.97/31.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 36.99/37.19 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.99/37.19 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 36.99/37.19 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 36.99/37.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 36.99/37.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 36.99/37.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 36.99/37.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 36.99/37.19 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 36.99/37.19 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 36.99/37.19 Found x3:(((rel_d W) V0)->False)
% 36.99/37.19 Instantiate: V0:=V00:fofType;V:=W:fofType
% 36.99/37.19 Found x3 as proof of (((rel_d V) V00)->False)
% 36.99/37.19 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 36.99/37.19 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 36.99/37.19 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 36.99/37.19 Found x10:False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 36.99/37.19 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 42.87/43.07 Found x3:(((rel_d W) V0)->False)
% 42.87/43.07 Instantiate: V0:=V00:fofType;V:=W:fofType
% 42.87/43.07 Found x3 as proof of (((rel_d V) V00)->False)
% 42.87/43.07 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found x1:(((rel_d W) V)->False)
% 42.87/43.07 Instantiate: V0:=W:fofType;V:=V1:fofType
% 42.87/43.07 Found x1 as proof of (((rel_d V0) V1)->False)
% 42.87/43.07 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 42.87/43.07 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 42.87/43.07 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 42.87/43.07 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 42.87/43.07 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 42.87/43.07 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 42.87/43.07 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 42.87/43.07 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 42.87/43.07 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 42.87/43.07 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 42.87/43.07 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.87/43.07 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.87/43.07 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.87/43.07 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 42.87/43.07 Found x3:(((rel_d W) V0)->False)
% 42.87/43.07 Instantiate: V0:=V00:fofType;V:=W:fofType
% 42.87/43.07 Found x3 as proof of (((rel_d V) V00)->False)
% 42.87/43.07 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 42.87/43.07 Found x2:((rel_d V) V0)
% 42.87/43.07 Instantiate: V1:=V0:fofType;V:=W:fofType
% 42.87/43.07 Found x2 as proof of ((rel_d W) V1)
% 42.87/43.07 Found (x4 x2) as proof of False
% 42.87/43.07 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 42.87/43.07 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 42.87/43.07 Found x3:(((rel_d W) V0)->False)
% 42.87/43.07 Instantiate: V0:=V00:fofType;V:=W:fofType
% 42.87/43.07 Found x3 as proof of (((rel_d V) V00)->False)
% 42.87/43.07 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 42.87/43.07 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 51.98/52.16 Found x1:(((rel_d W) V)->False)
% 51.98/52.16 Instantiate: V0:=W:fofType;V:=V1:fofType
% 51.98/52.16 Found x1 as proof of (((rel_d V0) V1)->False)
% 51.98/52.16 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 51.98/52.16 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 51.98/52.16 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 51.98/52.16 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 51.98/52.16 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 51.98/52.16 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 51.98/52.16 Found x10:False
% 51.98/52.16 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 51.98/52.16 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 51.98/52.16 Found x10:False
% 51.98/52.16 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 51.98/52.16 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 51.98/52.16 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 51.98/52.16 Found x2:((rel_d V) V0)
% 51.98/52.16 Instantiate: V1:=V0:fofType;V:=W:fofType
% 51.98/52.16 Found x2 as proof of ((rel_d W) V1)
% 51.98/52.16 Found (x4 x2) as proof of False
% 51.98/52.16 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 51.98/52.16 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 51.98/52.16 Found x10:False
% 51.98/52.16 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 51.98/52.16 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 51.98/52.16 Found x10:False
% 51.98/52.16 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 51.98/52.16 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 51.98/52.16 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 51.98/52.16 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 51.98/52.16 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 51.98/52.16 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 67.04/67.27 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 67.04/67.27 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 67.04/67.27 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 67.04/67.27 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 67.04/67.27 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 67.04/67.27 Found x3:(((rel_d W) V0)->False)
% 67.04/67.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 67.04/67.27 Found x3 as proof of (((rel_d V) V00)->False)
% 67.04/67.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found x10:False
% 67.04/67.27 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 67.04/67.27 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 67.04/67.27 Found x10:False
% 67.04/67.27 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 67.04/67.27 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 67.04/67.27 Found x10:False
% 67.04/67.27 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 67.04/67.27 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 67.04/67.27 Found x10:False
% 67.04/67.27 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 67.04/67.27 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 67.04/67.27 Found x3:(((rel_d W) V0)->False)
% 67.04/67.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 67.04/67.27 Found x3 as proof of (((rel_d V) V00)->False)
% 67.04/67.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found x1:(((rel_d W) V)->False)
% 67.04/67.27 Instantiate: V0:=W:fofType;V:=V1:fofType
% 67.04/67.27 Found x1 as proof of (((rel_d V0) V1)->False)
% 67.04/67.27 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 67.04/67.27 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 67.04/67.27 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 67.04/67.27 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 67.04/67.27 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 67.04/67.27 Found x3:(((rel_d W) V0)->False)
% 67.04/67.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 67.04/67.27 Found x3 as proof of (((rel_d V) V00)->False)
% 67.04/67.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 67.04/67.27 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 69.72/69.95 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 69.72/69.95 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 69.72/69.95 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 69.72/69.95 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 69.72/69.95 Found x3:(((rel_d W) V0)->False)
% 69.72/69.95 Instantiate: V0:=V00:fofType;V:=W:fofType
% 69.72/69.95 Found x3 as proof of (((rel_d V) V00)->False)
% 69.72/69.95 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 69.72/69.95 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 69.72/69.95 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 69.72/69.95 Found x1:(((rel_d W) V)->False)
% 69.72/69.95 Instantiate: V0:=W:fofType;V:=V1:fofType
% 69.72/69.95 Found x1 as proof of (((rel_d V0) V1)->False)
% 69.72/69.95 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 69.72/69.95 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 69.72/69.95 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 69.72/69.95 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found x2:((rel_d V) V0)
% 69.72/69.95 Instantiate: V1:=V0:fofType;V:=W:fofType
% 69.72/69.95 Found x2 as proof of ((rel_d W) V1)
% 69.72/69.95 Found (x4 x2) as proof of False
% 69.72/69.95 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 69.72/69.95 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 69.72/69.95 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 69.72/69.95 Found x3:(((rel_d W) V0)->False)
% 69.72/69.95 Instantiate: V0:=V00:fofType;V:=W:fofType
% 69.72/69.95 Found x3 as proof of (((rel_d V) V00)->False)
% 69.72/69.95 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 69.72/69.95 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 69.72/69.95 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 69.72/69.95 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 69.72/69.95 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 69.72/69.95 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 76.36/76.61 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 76.36/76.61 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 76.36/76.61 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 76.36/76.61 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 76.36/76.61 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 76.36/76.61 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 76.36/76.61 Found x3:(((rel_d W) V0)->False)
% 76.36/76.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 76.36/76.61 Found x3 as proof of (((rel_d V) V00)->False)
% 76.36/76.61 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 76.36/76.61 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 76.36/76.61 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 76.36/76.61 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 76.36/76.61 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 76.36/76.61 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 76.36/76.61 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 76.36/76.61 Found x1:(((rel_d W) V)->False)
% 76.36/76.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 76.36/76.61 Found x1 as proof of (((rel_d V0) V1)->False)
% 76.36/76.61 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 76.36/76.61 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 76.36/76.61 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 76.36/76.61 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 76.36/76.61 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 76.36/76.61 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 76.36/76.61 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 76.36/76.61 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 76.36/76.61 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 76.36/76.61 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 76.36/76.61 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 76.36/76.61 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 76.36/76.61 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 76.36/76.61 Found x2:((rel_d V) V0)
% 76.36/76.61 Instantiate: V1:=V0:fofType;V:=W:fofType
% 76.36/76.61 Found x2 as proof of ((rel_d W) V1)
% 76.36/76.61 Found (x4 x2) as proof of False
% 76.36/76.61 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 76.36/76.61 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 76.36/76.61 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 76.36/76.61 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 76.36/76.61 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 78.13/78.36 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 78.13/78.36 Found x2:((rel_d V) V0)
% 78.13/78.36 Instantiate: V1:=V0:fofType;V:=W:fofType
% 78.13/78.36 Found x2 as proof of ((rel_d W) V1)
% 78.13/78.36 Found (x4 x2) as proof of False
% 78.13/78.36 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 78.13/78.36 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 78.13/78.36 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 78.13/78.36 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.13/78.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 78.13/78.36 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 78.13/78.36 Found x10:False
% 78.13/78.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 78.13/78.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 80.90/81.12 Found x10:False
% 80.90/81.12 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 80.90/81.12 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 80.90/81.12 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 80.90/81.12 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 80.90/81.12 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 80.90/81.12 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 80.90/81.12 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 80.90/81.12 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 80.90/81.12 Found x3:(((rel_d W) V0)->False)
% 80.90/81.12 Instantiate: V0:=V00:fofType;V:=W:fofType
% 80.90/81.12 Found x3 as proof of (((rel_d V) V00)->False)
% 80.90/81.12 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 80.90/81.12 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 80.90/81.12 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 80.90/81.12 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 80.90/81.12 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 80.90/81.12 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 80.90/81.12 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 80.90/81.12 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 80.90/81.12 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 80.90/81.12 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 80.90/81.12 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 80.90/81.12 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 80.90/81.12 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 85.03/85.32 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 85.03/85.32 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 85.03/85.32 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 85.03/85.32 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 85.03/85.32 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 85.03/85.32 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 85.03/85.32 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 85.03/85.32 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 85.03/85.32 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 85.03/85.32 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 85.03/85.32 Found x3:(((rel_d W) V0)->False)
% 85.03/85.32 Instantiate: V0:=V00:fofType;V:=W:fofType
% 85.03/85.32 Found x3 as proof of (((rel_d V) V00)->False)
% 85.03/85.32 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 85.03/85.32 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 85.03/85.32 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 85.03/85.32 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 85.03/85.32 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 85.03/85.32 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 85.03/85.32 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 85.03/85.32 Found x1:(((rel_d W) V)->False)
% 85.03/85.32 Instantiate: V0:=W:fofType;V:=V1:fofType
% 85.03/85.32 Found x1 as proof of (((rel_d V0) V1)->False)
% 85.03/85.32 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 85.03/85.32 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 85.03/85.32 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 85.03/85.32 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 85.03/85.32 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 85.03/85.32 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 85.03/85.32 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 85.03/85.32 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 85.03/85.32 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found x2:((rel_d V) V0)
% 90.55/90.83 Instantiate: V1:=V0:fofType;V:=W:fofType
% 90.55/90.83 Found x2 as proof of ((rel_d W) V1)
% 90.55/90.83 Found (x4 x2) as proof of False
% 90.55/90.83 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 90.55/90.83 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 90.55/90.83 Found x10:False
% 90.55/90.83 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 90.55/90.83 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 90.55/90.83 Found x10:False
% 90.55/90.83 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 90.55/90.83 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 90.55/90.83 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 90.55/90.83 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 90.55/90.83 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 90.55/90.83 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 90.55/90.83 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.55/90.83 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.55/90.83 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.55/90.83 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.55/90.83 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 90.55/90.83 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 90.55/90.83 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 90.55/90.83 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 92.94/93.17 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 92.94/93.17 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 92.94/93.17 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 92.94/93.17 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 92.94/93.17 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 92.94/93.17 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 92.94/93.17 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 92.94/93.17 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 104.47/104.72 Found x4:((rel_d V) V0)
% 104.47/104.72 Instantiate: V2:=V0:fofType;V:=W:fofType
% 104.47/104.72 Found x4 as proof of ((rel_d W) V2)
% 104.47/104.72 Found (x6 x4) as proof of False
% 104.47/104.72 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 104.47/104.72 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 104.47/104.72 Found x3:(((rel_d W) V0)->False)
% 104.47/104.72 Instantiate: V0:=V00:fofType;V:=W:fofType
% 104.47/104.72 Found x3 as proof of (((rel_d V) V00)->False)
% 104.47/104.72 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 104.47/104.72 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 104.47/104.72 Found x4:((rel_d V) V0)
% 104.47/104.72 Instantiate: V2:=V0:fofType
% 104.47/104.72 Found x4 as proof of ((rel_d W) V2)
% 104.47/104.72 Found (x6 x4) as proof of False
% 104.47/104.72 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 104.47/104.72 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 104.47/104.72 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 104.47/104.72 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 104.47/104.72 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 104.47/104.72 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 105.53/105.82 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 105.53/105.82 Found x3:(((rel_d W) V0)->False)
% 105.53/105.82 Instantiate: V0:=V00:fofType;V:=W:fofType
% 105.53/105.82 Found x3 as proof of (((rel_d V) V00)->False)
% 105.53/105.82 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 105.53/105.82 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 105.53/105.82 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 105.53/105.82 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 105.53/105.82 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 105.53/105.82 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 105.53/105.82 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 105.53/105.82 Found x3:(((rel_d W) V0)->False)
% 105.53/105.82 Instantiate: V0:=V00:fofType;V:=W:fofType
% 105.53/105.82 Found x3 as proof of (((rel_d V) V00)->False)
% 105.53/105.82 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 105.53/105.82 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 105.53/105.82 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found x1:(((rel_d W) V)->False)
% 109.97/110.24 Instantiate: V0:=W:fofType;V:=V1:fofType
% 109.97/110.24 Found x1 as proof of (((rel_d V0) V1)->False)
% 109.97/110.24 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 109.97/110.24 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 109.97/110.24 Found x3:(((rel_d W) V0)->False)
% 109.97/110.24 Instantiate: V0:=V00:fofType;V:=W:fofType
% 109.97/110.24 Found x3 as proof of (((rel_d V) V00)->False)
% 109.97/110.24 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 109.97/110.24 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 109.97/110.24 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 109.97/110.24 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 109.97/110.24 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 109.97/110.24 Found x1:(((rel_d W) V)->False)
% 109.97/110.24 Instantiate: V0:=W:fofType;V:=V1:fofType
% 109.97/110.24 Found x1 as proof of (((rel_d V0) V1)->False)
% 109.97/110.24 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 109.97/110.24 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 109.97/110.24 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 115.10/115.37 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 115.10/115.37 Found (or_comm_i10 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 115.10/115.37 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 115.10/115.37 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 115.10/115.37 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 115.10/115.37 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 115.10/115.37 Found x3:(((rel_d W) V0)->False)
% 115.10/115.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 115.10/115.37 Found x3 as proof of (((rel_d V) V00)->False)
% 115.10/115.37 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 115.10/115.37 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 115.10/115.37 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 115.10/115.37 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 115.10/115.37 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 115.10/115.37 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 115.10/115.37 Found x4:((rel_d V) V0)
% 115.10/115.37 Instantiate: V2:=V0:fofType;V:=W:fofType
% 115.10/115.37 Found x4 as proof of ((rel_d W) V2)
% 115.10/115.37 Found (x6 x4) as proof of False
% 115.10/115.37 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 115.10/115.37 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 115.10/115.37 Found x2:((rel_d V) V0)
% 115.10/115.37 Instantiate: V1:=V0:fofType;V:=W:fofType
% 115.10/115.37 Found x2 as proof of ((rel_d W) V1)
% 115.10/115.37 Found (x4 x2) as proof of False
% 115.10/115.37 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 115.10/115.37 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 115.10/115.37 Found x3:(((rel_d W) V0)->False)
% 115.10/115.37 Instantiate: V0:=V00:fofType;V:=W:fofType
% 115.10/115.37 Found x3 as proof of (((rel_d V) V00)->False)
% 115.10/115.37 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 118.10/118.36 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found x10:False
% 118.10/118.36 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 118.10/118.36 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 118.10/118.36 Found x10:False
% 118.10/118.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 118.10/118.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 118.10/118.36 Found x10:False
% 118.10/118.36 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 118.10/118.36 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 118.10/118.36 Found x10:False
% 118.10/118.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 118.10/118.36 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 118.10/118.36 Found x4:((rel_d V) V0)
% 118.10/118.36 Instantiate: V2:=V0:fofType
% 118.10/118.36 Found x4 as proof of ((rel_d W) V2)
% 118.10/118.36 Found (x6 x4) as proof of False
% 118.10/118.36 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 118.10/118.36 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 118.10/118.36 Found x3:(((rel_d W) V0)->False)
% 118.10/118.36 Instantiate: V0:=V00:fofType;V:=W:fofType
% 118.10/118.36 Found x3 as proof of (((rel_d V) V00)->False)
% 118.10/118.36 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 118.10/118.36 Found or_introl10:=(or_introl1 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 118.10/118.36 Found (or_introl1 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 118.10/118.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 118.10/118.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 118.10/118.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 118.10/118.36 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 118.10/118.36 Found x3:(((rel_d W) V0)->False)
% 118.10/118.36 Instantiate: V0:=V00:fofType;V:=W:fofType
% 118.10/118.36 Found x3 as proof of (((rel_d V) V00)->False)
% 118.10/118.36 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found x1:(((rel_d W) V)->False)
% 120.68/120.93 Instantiate: V0:=W:fofType;V:=V1:fofType
% 120.68/120.93 Found x1 as proof of (((rel_d V0) V1)->False)
% 120.68/120.93 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 120.68/120.93 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 120.68/120.93 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 120.68/120.93 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 120.68/120.93 Found x3:(((rel_d W) V0)->False)
% 120.68/120.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 120.68/120.93 Found x3 as proof of (((rel_d V) V00)->False)
% 120.68/120.93 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.68/120.93 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.68/120.93 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.68/120.93 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 120.68/120.93 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 120.68/120.93 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 120.68/120.93 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 120.68/120.93 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 120.68/120.93 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 120.68/120.93 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 120.68/120.93 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 120.68/120.93 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 120.68/120.93 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 120.68/120.93 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 121.82/122.08 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 121.82/122.08 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 121.82/122.08 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found x3:(((rel_d W) V0)->False)
% 121.82/122.08 Instantiate: V0:=V00:fofType;V:=W:fofType
% 121.82/122.08 Found x3 as proof of (((rel_d V) V00)->False)
% 121.82/122.08 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 121.82/122.08 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 121.82/122.08 Found x1:(((rel_d W) V)->False)
% 121.82/122.08 Instantiate: V0:=W:fofType;V:=V1:fofType
% 121.82/122.08 Found x1 as proof of (((rel_d V0) V1)->False)
% 121.82/122.08 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 121.82/122.08 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 121.82/122.08 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 121.82/122.08 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 124.53/124.80 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found x30:False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 124.53/124.80 Found x30:False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 124.53/124.80 Found x10:False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 124.53/124.80 Found x10:False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 124.53/124.80 Found x3:(((rel_d W) V0)->False)
% 124.53/124.80 Instantiate: V0:=V00:fofType;V:=W:fofType
% 124.53/124.80 Found x3 as proof of (((rel_d V) V00)->False)
% 124.53/124.80 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 124.53/124.80 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 124.53/124.80 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 124.53/124.80 Found x30:False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 124.53/124.80 Found x30:False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 124.53/124.80 Found x10:False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 124.53/124.80 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 124.53/124.80 Found x10:False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 124.53/124.80 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 124.53/124.80 Found x1:(((rel_d W) V)->False)
% 124.53/124.80 Instantiate: V0:=W:fofType;V:=V1:fofType
% 124.53/124.80 Found x1 as proof of (((rel_d V0) V1)->False)
% 124.53/124.80 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 124.53/124.80 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 124.53/124.80 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 124.53/124.80 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 124.53/124.80 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 124.53/124.80 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 126.51/126.77 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 126.51/126.77 Found x3:(((rel_d W) V0)->False)
% 126.51/126.77 Instantiate: V0:=V00:fofType;V:=W:fofType
% 126.51/126.77 Found x3 as proof of (((rel_d V) V00)->False)
% 126.51/126.77 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.51/126.77 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.51/126.77 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.51/126.77 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 126.51/126.77 Found (or_comm_i10 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found x1:(((rel_d W) V)->False)
% 126.51/126.77 Instantiate: V0:=W:fofType;V:=V1:fofType
% 126.51/126.77 Found x1 as proof of (((rel_d V0) V1)->False)
% 126.51/126.77 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.51/126.77 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.51/126.77 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.51/126.77 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 126.51/126.77 Found (or_comm_i10 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 126.51/126.77 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 126.51/126.77 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 126.51/126.77 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 126.51/126.77 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 126.51/126.77 Found x3:(((rel_d W) V0)->False)
% 126.51/126.77 Instantiate: V0:=V00:fofType;V:=W:fofType
% 126.51/126.77 Found x3 as proof of (((rel_d V) V00)->False)
% 126.51/126.77 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 126.51/126.77 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 130.61/130.93 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 130.61/130.93 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 130.61/130.93 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 130.61/130.93 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 130.61/130.93 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 130.61/130.93 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 130.61/130.93 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 130.61/130.93 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 130.61/130.93 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 130.61/130.93 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 130.61/130.93 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 130.61/130.93 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 130.61/130.93 Found x2:((rel_d V) V0)
% 130.61/130.93 Instantiate: V1:=V0:fofType;V:=W:fofType
% 130.61/130.93 Found x2 as proof of ((rel_d W) V1)
% 130.61/130.93 Found (x4 x2) as proof of False
% 130.61/130.93 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 130.61/130.93 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 130.61/130.93 Found x10:False
% 130.61/130.93 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 133.30/133.54 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 133.30/133.54 Found x10:False
% 133.30/133.54 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 133.30/133.54 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 133.30/133.54 Found x10:False
% 133.30/133.54 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 133.30/133.54 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 133.30/133.54 Found x10:False
% 133.30/133.54 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 133.30/133.54 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 133.30/133.54 Found x3:(((rel_d W) V0)->False)
% 133.30/133.54 Instantiate: V0:=V00:fofType;V:=W:fofType
% 133.30/133.54 Found x3 as proof of (((rel_d V) V00)->False)
% 133.30/133.54 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 133.30/133.54 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found x3:(((rel_d W) V0)->False)
% 133.30/133.54 Instantiate: V0:=V00:fofType;V:=W:fofType
% 133.30/133.54 Found x3 as proof of (((rel_d V) V00)->False)
% 133.30/133.54 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 133.30/133.54 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 133.30/133.54 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found x1:(((rel_d W) V)->False)
% 133.30/133.54 Instantiate: V0:=W:fofType;V:=V1:fofType
% 133.30/133.54 Found x1 as proof of (((rel_d V0) V1)->False)
% 133.30/133.54 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 133.30/133.54 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 133.30/133.54 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 133.30/133.54 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 133.30/133.54 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 133.30/133.54 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 133.30/133.54 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 137.90/138.17 Found or_introl10:=(or_introl1 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 137.90/138.17 Found (or_introl1 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 137.90/138.17 Found x3:(((rel_d W) V0)->False)
% 137.90/138.17 Instantiate: V0:=V00:fofType;V:=W:fofType
% 137.90/138.17 Found x3 as proof of (((rel_d V) V00)->False)
% 137.90/138.17 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 137.90/138.17 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 137.90/138.17 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 137.90/138.17 Found x1:(((rel_d W) V)->False)
% 137.90/138.17 Instantiate: V0:=W:fofType;V:=V1:fofType
% 137.90/138.17 Found x1 as proof of (((rel_d V0) V1)->False)
% 137.90/138.17 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 137.90/138.17 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 137.90/138.17 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 137.90/138.17 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 137.90/138.17 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found x30:False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 137.90/138.17 Found x30:False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 137.90/138.17 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 137.90/138.17 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 137.90/138.17 Found x10:False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 137.90/138.17 Found x10:False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 137.90/138.17 Found x10:False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 137.90/138.17 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 137.90/138.17 Found x10:False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 137.90/138.17 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 137.90/138.17 Found x30:False
% 143.87/144.13 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 143.87/144.13 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 143.87/144.13 Found x30:False
% 143.87/144.13 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 143.87/144.13 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 143.87/144.13 Found x10:False
% 143.87/144.13 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 143.87/144.13 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 143.87/144.13 Found x10:False
% 143.87/144.13 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 143.87/144.13 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 143.87/144.13 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 143.87/144.13 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 143.87/144.13 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 143.87/144.13 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 143.87/144.13 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 143.87/144.13 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 143.87/144.13 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 143.87/144.13 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 143.87/144.13 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found or_introl10:=(or_introl1 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 143.87/144.13 Found (or_introl1 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 143.87/144.13 Found or_introl10:=(or_introl1 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 143.87/144.13 Found (or_introl1 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 143.87/144.13 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 154.72/155.03 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 154.72/155.03 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 154.72/155.03 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 154.72/155.03 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 154.72/155.03 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V0)))
% 154.72/155.03 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found ((or_introl (((rel_d W) V1)->False)) (p V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 154.72/155.03 Found x3:(((rel_d W) V0)->False)
% 154.72/155.03 Instantiate: V0:=V00:fofType;V:=W:fofType
% 154.72/155.03 Found x3 as proof of (((rel_d V) V00)->False)
% 154.72/155.03 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found x3:(((rel_d W) V0)->False)
% 154.72/155.03 Instantiate: V0:=V00:fofType;V:=W:fofType
% 154.72/155.03 Found x3 as proof of (((rel_d V) V00)->False)
% 154.72/155.03 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 154.72/155.03 Found x4:((rel_d V) V0)
% 154.72/155.03 Instantiate: V2:=V0:fofType;V:=W:fofType
% 154.72/155.03 Found x4 as proof of ((rel_d W) V2)
% 154.72/155.03 Found (x6 x4) as proof of False
% 158.10/158.40 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 158.10/158.40 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 158.10/158.40 Found x3:(((rel_d W) V0)->False)
% 158.10/158.40 Instantiate: V0:=V00:fofType;V:=W:fofType
% 158.10/158.40 Found x3 as proof of (((rel_d V) V00)->False)
% 158.10/158.40 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 158.10/158.40 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found x10:False
% 158.10/158.40 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 158.10/158.40 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 158.10/158.40 Found x10:False
% 158.10/158.40 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 158.10/158.40 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 158.10/158.40 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 158.10/158.40 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 158.10/158.40 Found x3:(((rel_d W) V0)->False)
% 158.10/158.40 Instantiate: V0:=V00:fofType;V:=W:fofType
% 158.10/158.40 Found x3 as proof of (((rel_d V) V00)->False)
% 158.10/158.40 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 158.10/158.40 Found x1:(((rel_d W) V)->False)
% 158.10/158.40 Instantiate: V0:=W:fofType;V:=V1:fofType
% 158.10/158.40 Found x1 as proof of (((rel_d V0) V1)->False)
% 158.10/158.40 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 158.10/158.40 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 158.10/158.40 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 164.14/164.43 Found x4:((rel_d V) V0)
% 164.14/164.43 Instantiate: V2:=V0:fofType
% 164.14/164.43 Found x4 as proof of ((rel_d W) V2)
% 164.14/164.43 Found (x6 x4) as proof of False
% 164.14/164.43 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 164.14/164.43 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 164.14/164.43 Found x3:(((rel_d W) V0)->False)
% 164.14/164.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.14/164.43 Found x3 as proof of (((rel_d V) V00)->False)
% 164.14/164.43 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found x1:(((rel_d W) V)->False)
% 164.14/164.43 Instantiate: V0:=W:fofType;V:=V1:fofType
% 164.14/164.43 Found x1 as proof of (((rel_d V0) V1)->False)
% 164.14/164.43 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 164.14/164.43 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 164.14/164.43 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 164.14/164.43 Found x3:(((rel_d W) V0)->False)
% 164.14/164.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.14/164.43 Found x3 as proof of (((rel_d V) V00)->False)
% 164.14/164.43 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 164.14/164.43 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 164.14/164.43 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 164.14/164.43 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 164.14/164.43 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 164.14/164.43 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 164.14/164.43 Found x4:((rel_d V) V0)
% 164.14/164.43 Instantiate: V2:=V0:fofType;V:=W:fofType
% 164.14/164.43 Found x4 as proof of ((rel_d W) V2)
% 164.14/164.43 Found (x6 x4) as proof of False
% 164.14/164.43 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 164.14/164.43 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 164.14/164.43 Found x3:(((rel_d W) V0)->False)
% 164.14/164.43 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.14/164.43 Found x3 as proof of (((rel_d V) V00)->False)
% 164.14/164.43 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 164.14/164.43 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 164.14/164.43 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found x1:(((rel_d W) V)->False)
% 166.16/166.47 Instantiate: V0:=W:fofType;V:=V1:fofType
% 166.16/166.47 Found x1 as proof of (((rel_d V0) V1)->False)
% 166.16/166.47 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 166.16/166.47 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 166.16/166.47 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 166.16/166.47 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 166.16/166.47 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 166.16/166.47 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 166.16/166.47 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 166.16/166.47 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 166.16/166.47 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 166.16/166.47 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 166.16/166.47 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 166.16/166.47 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 171.54/171.85 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 171.54/171.85 Found x4:((rel_d V) V0)
% 171.54/171.85 Instantiate: V2:=V0:fofType
% 171.54/171.85 Found x4 as proof of ((rel_d W) V2)
% 171.54/171.85 Found (x6 x4) as proof of False
% 171.54/171.85 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 171.54/171.85 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 171.54/171.85 Found x3:(((rel_d W) V0)->False)
% 171.54/171.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 171.54/171.85 Found x3 as proof of (((rel_d V) V00)->False)
% 171.54/171.85 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found x3:(((rel_d W) V0)->False)
% 171.54/171.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 171.54/171.85 Found x3 as proof of (((rel_d V) V00)->False)
% 171.54/171.85 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found x3:(((rel_d W) V0)->False)
% 171.54/171.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 171.54/171.85 Found x3 as proof of (((rel_d V) V00)->False)
% 171.54/171.85 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found x10:False
% 171.54/171.85 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 171.54/171.85 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 171.54/171.85 Found x10:False
% 171.54/171.85 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 171.54/171.85 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 171.54/171.85 Found x1:(((rel_d W) V)->False)
% 171.54/171.85 Instantiate: V0:=W:fofType;V:=V1:fofType
% 171.54/171.85 Found x1 as proof of (((rel_d V0) V1)->False)
% 171.54/171.85 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 171.54/171.85 Found x3:(((rel_d W) V0)->False)
% 171.54/171.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 171.54/171.85 Found x3 as proof of (((rel_d V) V00)->False)
% 171.54/171.85 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 171.54/171.85 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 171.54/171.85 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 171.54/171.85 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 171.54/171.85 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 171.54/171.85 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 178.94/179.25 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 178.94/179.25 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 178.94/179.25 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 178.94/179.25 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 178.94/179.25 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 178.94/179.25 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 178.94/179.25 Found x3:(((rel_d W) V0)->False)
% 178.94/179.25 Instantiate: V0:=V00:fofType;V:=W:fofType
% 178.94/179.25 Found x3 as proof of (((rel_d V) V00)->False)
% 178.94/179.25 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 178.94/179.25 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 178.94/179.25 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 178.94/179.25 Found x1:(((rel_d W) V)->False)
% 178.94/179.25 Instantiate: V0:=W:fofType;V:=V1:fofType
% 178.94/179.25 Found x1 as proof of (((rel_d V0) V1)->False)
% 178.94/179.25 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 178.94/179.25 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 178.94/179.25 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 181.96/182.27 Found x3:(((rel_d W) V0)->False)
% 181.96/182.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 181.96/182.27 Found x3 as proof of (((rel_d V) V00)->False)
% 181.96/182.27 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found x2:((rel_d V) V0)
% 181.96/182.27 Instantiate: V1:=V0:fofType;V:=W:fofType
% 181.96/182.27 Found x2 as proof of ((rel_d W) V1)
% 181.96/182.27 Found (x4 x2) as proof of False
% 181.96/182.27 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 181.96/182.27 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 181.96/182.27 Found x1:(((rel_d W) V)->False)
% 181.96/182.27 Instantiate: V0:=W:fofType;V:=V1:fofType
% 181.96/182.27 Found x1 as proof of (((rel_d V0) V1)->False)
% 181.96/182.27 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 181.96/182.27 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 181.96/182.27 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 181.96/182.27 Found x4:((rel_d V) V0)
% 181.96/182.27 Instantiate: V2:=V0:fofType;V:=W:fofType
% 181.96/182.27 Found x4 as proof of ((rel_d W) V2)
% 181.96/182.27 Found (x6 x4) as proof of False
% 181.96/182.27 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 181.96/182.27 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 181.96/182.27 Found x3:(((rel_d W) V0)->False)
% 181.96/182.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 181.96/182.27 Found x3 as proof of (((rel_d V) V00)->False)
% 181.96/182.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 181.96/182.27 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found x3:(((rel_d W) V0)->False)
% 181.96/182.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 181.96/182.27 Found x3 as proof of (((rel_d V) V00)->False)
% 181.96/182.27 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 181.96/182.27 Found x2:((rel_d V) V0)
% 181.96/182.27 Instantiate: V1:=V0:fofType;V:=W:fofType
% 181.96/182.27 Found x2 as proof of ((rel_d W) V1)
% 181.96/182.27 Found (x4 x2) as proof of False
% 181.96/182.27 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 181.96/182.27 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 190.46/190.79 Found x1:(((rel_d W) V)->False)
% 190.46/190.79 Instantiate: V0:=W:fofType;V:=V1:fofType
% 190.46/190.79 Found x1 as proof of (((rel_d V0) V1)->False)
% 190.46/190.79 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 190.46/190.79 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 190.46/190.79 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 190.46/190.79 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 190.46/190.79 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 190.46/190.79 Found x3:(((rel_d W) V0)->False)
% 190.46/190.79 Instantiate: V0:=V00:fofType;V:=W:fofType
% 190.46/190.79 Found x3 as proof of (((rel_d V) V00)->False)
% 190.46/190.79 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 190.46/190.79 Found x4:((rel_d V) V0)
% 190.46/190.79 Instantiate: V2:=V0:fofType
% 190.46/190.79 Found x4 as proof of ((rel_d W) V2)
% 190.46/190.79 Found (x6 x4) as proof of False
% 190.46/190.79 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 190.46/190.79 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 190.46/190.79 Found x30:False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 190.46/190.79 Found x30:False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 190.46/190.79 Found x10:False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 190.46/190.79 Found x10:False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 190.46/190.79 Found x30:False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 190.46/190.79 Found x30:False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 190.46/190.79 Found x10:False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 190.46/190.79 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 190.46/190.79 Found x10:False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 190.46/190.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 190.46/190.79 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 190.46/190.79 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 190.46/190.79 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 190.46/190.79 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 190.46/190.79 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 190.46/190.79 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 191.48/191.79 Found or_introl20:=(or_introl2 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 191.48/191.79 Found (or_introl2 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 191.48/191.79 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 191.48/191.79 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 191.48/191.79 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 191.48/191.79 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 191.48/191.79 Found x4:((rel_d V) V0)
% 191.48/191.79 Instantiate: V2:=V0:fofType;V:=W:fofType
% 191.48/191.79 Found x4 as proof of ((rel_d W) V2)
% 191.48/191.79 Found (x6 x4) as proof of False
% 191.48/191.79 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 191.48/191.79 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 191.48/191.79 Found x3:(((rel_d W) V0)->False)
% 191.48/191.79 Instantiate: V0:=V00:fofType;V:=W:fofType
% 191.48/191.79 Found x3 as proof of (((rel_d V) V00)->False)
% 191.48/191.79 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_d p)) V1)->((or (((rel_d V) V00)->False)) (p V00)))
% 191.48/191.79 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found (((or_ind2 ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d p)) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d p)) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) (p V00))) ((or_introl (((rel_d W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_d p)) V00))=> (((or_introl (((rel_d V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 191.48/191.79 Found x1:(((rel_d W) V)->False)
% 191.48/191.79 Instantiate: V0:=W:fofType;V:=V1:fofType
% 191.48/191.79 Found x1 as proof of (((rel_d V0) V1)->False)
% 191.48/191.79 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 191.48/191.79 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 191.48/191.79 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 191.48/191.79 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 191.48/191.79 Found (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_d p)) V2)->((or (((rel_d V0) V1)->False)) (p V1)))
% 191.48/191.79 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 191.48/191.79 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d p)) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d p)) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V2))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d p)) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d p)) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) (p V1))) ((or_introl (((rel_d W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_d p)) V1))=> (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) (p V00))):((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found (False_rect0 ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) (p V00)))) as proof of ((mbox_d p) V)
% 196.03/196.36 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 196.03/196.36 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 196.03/196.36 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))):((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found (False_rect0 ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 196.03/196.36 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 196.03/196.36 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) (p V1)))) as proof of ((mbox_d p) V0)
% 196.03/196.36 Found x3:(((rel_d W) V0)->False)
% 196.03/196.36 Instantiate: V0:=V00:fofType;V:=W:fofType
% 196.03/196.36 Found x3 as proof of (((rel_d V) V00)->False)
% 196.03/196.36 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 196.03/196.36 Found x4:((rel_d V) V0)
% 196.03/196.36 Instantiate: V2:=V0:fofType
% 196.03/196.36 Found x4 as proof of ((rel_d W) V2)
% 196.03/196.36 Found (x6 x4) as proof of False
% 196.03/196.36 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 196.03/196.36 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 196.03/196.36 Found x3:(((rel_d W) V0)->False)
% 196.03/196.36 Instantiate: V0:=V00:fofType;V:=W:fofType
% 196.03/196.36 Found x3 as proof of (((rel_d V) V00)->False)
% 196.03/196.36 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 201.67/202.03 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 201.67/202.03 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 201.67/202.03 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 201.67/202.03 Found x1:(((rel_d W) V)->False)
% 201.67/202.03 Instantiate: V0:=W:fofType;V:=V1:fofType
% 201.67/202.03 Found x1 as proof of (((rel_d V0) V1)->False)
% 201.67/202.03 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 201.67/202.03 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 201.67/202.03 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 201.67/202.03 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 201.67/202.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 201.67/202.03 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found x10:False
% 201.67/202.03 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 201.67/202.03 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 201.67/202.03 Found x10:False
% 201.67/202.03 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 201.67/202.03 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 201.67/202.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 201.67/202.03 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 201.67/202.03 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 201.67/202.03 Found or_introl00:=(or_introl0 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 201.67/202.03 Found (or_introl0 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 201.67/202.03 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 201.67/202.03 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 201.67/202.03 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 201.67/202.03 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found x10:False
% 207.35/207.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 207.35/207.66 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 207.35/207.66 Found x10:False
% 207.35/207.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 207.35/207.66 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 207.35/207.66 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 207.35/207.66 Found x3:(((rel_d W) V0)->False)
% 207.35/207.66 Instantiate: V0:=V00:fofType;V:=W:fofType
% 207.35/207.66 Found x3 as proof of (((rel_d V) V00)->False)
% 207.35/207.66 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 207.35/207.66 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 207.35/207.66 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 207.35/207.66 Found x1:(((rel_d W) V)->False)
% 207.35/207.66 Instantiate: V0:=W:fofType;V:=V1:fofType
% 207.35/207.66 Found x1 as proof of (((rel_d V0) V1)->False)
% 207.35/207.66 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 207.35/207.66 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 207.35/207.66 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 207.35/207.66 Found x2:((rel_d V) V0)
% 207.35/207.66 Instantiate: V1:=V0:fofType;V:=W:fofType
% 207.35/207.66 Found x2 as proof of ((rel_d W) V1)
% 207.35/207.66 Found (x4 x2) as proof of False
% 207.35/207.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 207.35/207.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 207.35/207.66 Found x2:((rel_d V) V0)
% 207.35/207.66 Instantiate: V1:=V0:fofType;V:=W:fofType
% 207.35/207.66 Found x2 as proof of ((rel_d W) V1)
% 207.35/207.66 Found (x4 x2) as proof of False
% 207.35/207.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 207.35/207.66 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 207.35/207.66 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 212.86/213.19 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 212.86/213.19 Found (False_rect0 (p V00)) as proof of (p V00)
% 212.86/213.19 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 212.86/213.19 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 212.86/213.19 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 212.86/213.19 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 212.86/213.19 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 212.86/213.19 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 212.86/213.19 Found x30:False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 212.86/213.19 Found x30:False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 212.86/213.19 Found x10:False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 212.86/213.19 Found x10:False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 212.86/213.19 Found x10:False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x10) as proof of (((mnot (mbox_d p)) V1)->False)
% 212.86/213.19 Found x30:False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of False
% 212.86/213.19 Found (fun (x5:((mnot (mbox_d p)) V1))=> x30) as proof of (((mnot (mbox_d p)) V1)->False)
% 212.86/213.19 Found x30:False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 212.86/213.19 Found x10:False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 212.86/213.19 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 212.86/213.19 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 212.86/213.19 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 212.86/213.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 212.86/213.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 212.86/213.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 212.86/213.19 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 212.86/213.19 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 212.86/213.19 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 212.86/213.19 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 217.24/217.58 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 217.24/217.58 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 217.24/217.58 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 217.24/217.58 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 217.24/217.58 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 217.24/217.58 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 217.24/217.58 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 217.24/217.58 Found (False_rect0 (p V00)) as proof of (p V00)
% 217.24/217.58 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 217.24/217.58 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 217.24/217.58 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.24/217.58 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.24/217.58 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.24/217.58 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 217.24/217.58 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 217.24/217.58 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 217.24/217.58 Found or_introl20:=(or_introl2 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 217.24/217.58 Found (or_introl2 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 217.24/217.58 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 227.27/227.60 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 227.27/227.60 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 227.27/227.60 Found x3:(((rel_d W) V0)->False)
% 227.27/227.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 227.27/227.60 Found x3 as proof of (((rel_d V) V00)->False)
% 227.27/227.60 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 227.27/227.60 Found (False_rect0 (p V00)) as proof of (p V00)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 227.27/227.60 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 227.27/227.60 Found (False_rect0 (p V1)) as proof of (p V1)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 227.27/227.60 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.27/227.60 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.27/227.60 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.27/227.60 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 227.27/227.60 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 227.27/227.60 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 227.27/227.60 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 227.27/227.60 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 227.27/227.60 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 227.27/227.60 Found x3:(((rel_d W) V0)->False)
% 227.27/227.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 227.27/227.60 Found x3 as proof of (((rel_d V) V00)->False)
% 227.27/227.60 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found x10:False
% 227.27/227.60 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of False
% 227.27/227.60 Found (fun (x3:((mnot (mbox_d p)) V0))=> x10) as proof of (((mnot (mbox_d p)) V0)->False)
% 227.27/227.60 Found x10:False
% 227.27/227.60 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 227.27/227.60 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 227.27/227.60 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 227.27/227.60 Found (False_rect0 (p V00)) as proof of (p V00)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 227.27/227.60 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 227.27/227.60 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 227.27/227.60 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 231.83/232.22 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 231.83/232.22 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 231.83/232.22 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 231.83/232.22 Found (False_rect0 (p V1)) as proof of (p V1)
% 231.83/232.22 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 231.83/232.22 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 231.83/232.22 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 231.83/232.22 Found or_introl00:=(or_introl0 (p V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) (p V2)))
% 231.83/232.22 Found (or_introl0 (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 231.83/232.22 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 231.83/232.22 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 231.83/232.22 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 231.83/232.22 Found ((or_introl (((rel_d W) V3)->False)) (p V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 231.83/232.22 Found x4:((rel_d V) V0)
% 231.83/232.22 Instantiate: V2:=V0:fofType;V:=W:fofType
% 231.83/232.22 Found x4 as proof of ((rel_d W) V2)
% 231.83/232.22 Found x3:(((rel_d W) V0)->False)
% 231.83/232.22 Instantiate: V0:=V00:fofType;V:=W:fofType
% 231.83/232.22 Found x3 as proof of (((rel_d V) V00)->False)
% 231.83/232.22 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 231.83/232.22 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 231.83/232.22 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 231.83/232.22 Found x1:(((rel_d W) V)->False)
% 231.83/232.22 Instantiate: V0:=W:fofType;V:=V1:fofType
% 231.83/232.22 Found x1 as proof of (((rel_d V0) V1)->False)
% 231.83/232.22 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 231.83/232.22 Found or_introl10:=(or_introl1 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found (or_introl1 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 231.83/232.22 Found x3:(((rel_d W) V0)->False)
% 231.83/232.22 Instantiate: V0:=V00:fofType;V:=W:fofType
% 245.42/245.80 Found x3 as proof of (((rel_d V) V00)->False)
% 245.42/245.80 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found x1:(((rel_d W) V)->False)
% 245.42/245.80 Instantiate: V0:=W:fofType;V:=V1:fofType
% 245.42/245.80 Found x1 as proof of (((rel_d V0) V1)->False)
% 245.42/245.80 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 245.42/245.80 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 245.42/245.80 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 245.42/245.80 Found x4:((rel_d V) V0)
% 245.42/245.80 Instantiate: V2:=V0:fofType
% 245.42/245.80 Found x4 as proof of ((rel_d W) V2)
% 245.42/245.80 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 245.42/245.80 Found (False_rect0 (p V00)) as proof of (p V00)
% 245.42/245.80 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 245.42/245.80 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 245.42/245.80 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 245.42/245.80 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 245.42/245.80 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.80 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.80 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or (p V0)) (((rel_d W) V1)->False)))
% 245.42/245.81 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found ((or_intror (p V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 245.42/245.81 Found or_introl00:=(or_introl0 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 245.42/245.81 Found (or_introl0 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 245.42/245.81 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 245.42/245.81 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 245.42/245.81 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 245.42/245.81 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 245.42/245.81 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 245.42/245.81 Found (False_rect0 (p V00)) as proof of (p V00)
% 245.42/245.81 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 245.42/245.81 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 245.42/245.81 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 257.58/257.99 Found x3:(((rel_d W) V0)->False)
% 257.58/257.99 Instantiate: V0:=V00:fofType;V:=W:fofType
% 257.58/257.99 Found x3 as proof of (((rel_d V) V00)->False)
% 257.58/257.99 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found x3:(((rel_d W) V0)->False)
% 257.58/257.99 Instantiate: V0:=V00:fofType;V:=W:fofType
% 257.58/257.99 Found x3 as proof of (((rel_d V) V00)->False)
% 257.58/257.99 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 257.58/257.99 Found (False_rect0 (p V00)) as proof of (p V00)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 257.58/257.99 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 257.58/257.99 Found (False_rect0 (p V1)) as proof of (p V1)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 257.58/257.99 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 257.58/257.99 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 257.58/257.99 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 257.58/257.99 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 257.58/257.99 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 257.58/257.99 Found (False_rect0 (p V00)) as proof of (p V00)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 257.58/257.99 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 257.58/257.99 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 257.58/257.99 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) (p V0)))
% 260.47/260.86 Found x3:(((rel_d W) V0)->False)
% 260.47/260.86 Instantiate: V0:=V00:fofType;V:=W:fofType
% 260.47/260.86 Found x3 as proof of (((rel_d V) V00)->False)
% 260.47/260.86 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 260.47/260.86 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 260.47/260.86 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 260.47/260.86 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 260.47/260.86 Found (False_rect0 (p V1)) as proof of (p V1)
% 260.47/260.86 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 260.47/260.86 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 260.47/260.86 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) (p V)))
% 260.47/260.86 Found x4:((rel_d V) V0)
% 260.47/260.86 Instantiate: V3:=V0:fofType
% 260.47/260.86 Found x4 as proof of ((rel_d W) V3)
% 260.47/260.86 Found x1:(((rel_d W) V)->False)
% 260.47/260.86 Instantiate: V0:=W:fofType;V:=V1:fofType
% 260.47/260.86 Found x1 as proof of (((rel_d V0) V1)->False)
% 260.47/260.86 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 260.47/260.86 Found x4:((rel_d V) V0)
% 260.47/260.86 Instantiate: V2:=V0:fofType;V:=W:fofType
% 260.47/260.86 Found x4 as proof of ((rel_d W) V2)
% 260.47/260.86 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 260.47/260.86 Found x2:((rel_d V) V0)
% 260.47/260.86 Instantiate: V1:=V0:fofType;V:=W:fofType
% 260.47/260.86 Found x2 as proof of ((rel_d W) V1)
% 260.47/260.86 Found (x4 x2) as proof of False
% 260.47/260.86 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 260.47/260.86 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 261.58/261.96 Found x3:(((rel_d W) V0)->False)
% 261.58/261.96 Instantiate: V0:=V00:fofType;V:=W:fofType
% 261.58/261.96 Found x3 as proof of (((rel_d V) V00)->False)
% 261.58/261.96 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 261.58/261.96 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 261.58/261.96 Found (((or_introl (((rel_d V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 261.58/261.96 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found x1:(((rel_d W) V)->False)
% 261.58/261.96 Instantiate: V0:=W:fofType;V:=V1:fofType
% 261.58/261.96 Found x1 as proof of (((rel_d V0) V1)->False)
% 261.58/261.96 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 261.58/261.96 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 261.58/261.96 Found (((or_introl (((rel_d V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 261.58/261.96 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 261.58/261.96 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 261.58/261.96 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 261.58/261.96 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 261.58/261.96 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 270.68/271.09 Found x4:((rel_d V) V0)
% 270.68/271.09 Instantiate: V2:=V0:fofType;V:=W:fofType
% 270.68/271.09 Found x4 as proof of ((rel_d W) V2)
% 270.68/271.09 Found (x6 x4) as proof of False
% 270.68/271.09 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 270.68/271.09 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 270.68/271.09 Found x4:((rel_d V) V0)
% 270.68/271.09 Instantiate: V2:=V0:fofType;V:=W:fofType
% 270.68/271.09 Found x4 as proof of ((rel_d W) V2)
% 270.68/271.09 Found x2:((rel_d V) V0)
% 270.68/271.09 Instantiate: V1:=V0:fofType;V:=W:fofType
% 270.68/271.09 Found x2 as proof of ((rel_d W) V1)
% 270.68/271.09 Found (x4 x2) as proof of False
% 270.68/271.09 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 270.68/271.09 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 270.68/271.09 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 270.68/271.09 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 270.68/271.09 Found x4:((rel_d V) V0)
% 270.68/271.09 Instantiate: V2:=V0:fofType
% 270.68/271.09 Found x4 as proof of ((rel_d W) V2)
% 270.68/271.09 Found x3:(((rel_d W) V0)->False)
% 270.68/271.09 Instantiate: V0:=V00:fofType;V:=W:fofType
% 270.68/271.09 Found x3 as proof of (((rel_d V) V00)->False)
% 270.68/271.09 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 270.68/271.09 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 270.68/271.09 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 270.68/271.09 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 270.68/271.09 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 270.68/271.09 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 270.68/271.09 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 270.68/271.09 Found x4:((rel_d V) V0)
% 270.68/271.09 Instantiate: V2:=V0:fofType
% 270.68/271.09 Found x4 as proof of ((rel_d W) V2)
% 270.68/271.09 Found (x6 x4) as proof of False
% 270.68/271.09 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 270.68/271.09 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 270.68/271.09 Found x4:((rel_d V) V0)
% 270.68/271.09 Instantiate: V2:=V0:fofType
% 270.68/271.09 Found x4 as proof of ((rel_d W) V2)
% 270.68/271.09 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 270.68/271.09 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 270.68/271.09 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 281.01/281.38 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 281.01/281.38 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 281.01/281.38 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 281.01/281.38 Found x3:(((rel_d W) V0)->False)
% 281.01/281.38 Instantiate: V0:=V00:fofType;V:=W:fofType
% 281.01/281.38 Found x3 as proof of (((rel_d V) V00)->False)
% 281.01/281.38 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 281.01/281.38 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or (p V0)) (((rel_d W) V2)->False)))
% 281.01/281.38 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found ((or_intror (p V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or (p V0)) (((rel_d V) V0)->False)))
% 281.01/281.38 Found x3:(((rel_d W) V0)->False)
% 281.01/281.38 Instantiate: V0:=V00:fofType;V:=W:fofType
% 281.01/281.38 Found x3 as proof of (((rel_d V) V00)->False)
% 281.01/281.38 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 281.01/281.38 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 281.01/281.38 Found x1:(((rel_d W) V)->False)
% 281.01/281.38 Instantiate: V0:=W:fofType;V:=V1:fofType
% 281.01/281.38 Found x1 as proof of (((rel_d V0) V1)->False)
% 281.01/281.38 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 281.01/281.38 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 281.01/281.38 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 281.01/281.38 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 281.01/281.38 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found x3:(((rel_d W) V0)->False)
% 287.38/287.76 Instantiate: V0:=V00:fofType;V:=W:fofType
% 287.38/287.76 Found x3 as proof of (((rel_d V) V00)->False)
% 287.38/287.76 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 287.38/287.76 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 287.38/287.76 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 287.38/287.76 Found (((or_intror (p V00)) (((rel_d V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_d V) V00)->False))
% 287.38/287.76 Found (or_comm_i00 (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 287.38/287.76 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 287.38/287.76 Found (((or_comm_i (p V00)) (((rel_d V) V00)->False)) (((or_intror (p V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) (p V00))
% 287.38/287.76 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 287.38/287.76 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 287.38/287.76 Found or_introl00:=(or_introl0 (p V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V1)))
% 287.38/287.76 Found (or_introl0 (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) (p V1)))
% 287.38/287.76 Found x1:(((rel_d W) V)->False)
% 287.38/287.76 Instantiate: V0:=W:fofType;V:=V1:fofType
% 287.38/287.76 Found x1 as proof of (((rel_d V0) V1)->False)
% 287.38/287.76 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 287.38/287.76 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 287.38/287.76 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 287.38/287.76 Found (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_d V0) V1)->False))
% 287.38/287.76 Found (or_comm_i00 (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found (((or_comm_i (p V1)) (((rel_d V0) V1)->False)) (((or_intror (p V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) (p V1))
% 287.38/287.76 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 287.38/287.76 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 287.38/287.76 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found x2:((rel_d V) V0)
% 295.11/295.53 Instantiate: V1:=V0:fofType;V:=W:fofType
% 295.11/295.53 Found x2 as proof of ((rel_d W) V1)
% 295.11/295.53 Found (x4 x2) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 295.11/295.53 Found x4:((rel_d V) V0)
% 295.11/295.53 Instantiate: V3:=V0:fofType
% 295.11/295.53 Found x4 as proof of ((rel_d W) V3)
% 295.11/295.53 Found (x6 x4) as proof of False
% 295.11/295.53 Found (fun (x7:((rel_d V1) V2))=> (x6 x4)) as proof of False
% 295.11/295.53 Found (fun (x7:((rel_d V1) V2))=> (x6 x4)) as proof of (((rel_d V1) V2)->False)
% 295.11/295.53 Found (or_introl10 (fun (x7:((rel_d V1) V2))=> (x6 x4))) as proof of ((or (((rel_d V1) V2)->False)) (p V2))
% 295.11/295.53 Found ((or_introl1 (p V2)) (fun (x7:((rel_d V1) V2))=> (x6 x4))) as proof of ((or (((rel_d V1) V2)->False)) (p V2))
% 295.11/295.53 Found (((or_introl (((rel_d V1) V2)->False)) (p V2)) (fun (x7:((rel_d V1) V2))=> (x6 x4))) as proof of ((or (((rel_d V1) V2)->False)) (p V2))
% 295.11/295.53 Found (fun (x6:(((rel_d W) V3)->False))=> (((or_introl (((rel_d V1) V2)->False)) (p V2)) (fun (x7:((rel_d V1) V2))=> (x6 x4)))) as proof of ((or (((rel_d V1) V2)->False)) (p V2))
% 295.11/295.53 Found (fun (x6:(((rel_d W) V3)->False))=> (((or_introl (((rel_d V1) V2)->False)) (p V2)) (fun (x7:((rel_d V1) V2))=> (x6 x4)))) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) (p V2)))
% 295.11/295.53 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 295.11/295.53 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found x2:((rel_d V) V0)
% 295.11/295.53 Instantiate: V1:=V0:fofType;V:=W:fofType
% 295.11/295.53 Found x2 as proof of ((rel_d W) V1)
% 295.11/295.53 Found (x4 x2) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 295.11/295.53 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 295.11/295.53 Found (or_introl1 (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found ((or_introl (((rel_d W) V2)->False)) (p V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) (p V0)))
% 295.11/295.53 Found x2:((rel_d V) V0)
% 295.11/295.53 Instantiate: V1:=V0:fofType;V:=W:fofType
% 295.11/295.53 Found x2 as proof of ((rel_d W) V1)
% 295.11/295.53 Found (x4 x2) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 295.11/295.53 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 295.11/295.53 Found x10:False
% 295.11/295.53 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 295.11/295.53 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 295.11/295.53 Found x10:False
% 295.11/295.53 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 295.11/295.53 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 295.11/295.53 Found x10:False
% 295.11/295.53 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 295.11/295.53 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 296.76/297.15 Found x10:False
% 296.76/297.15 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 296.76/297.15 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 296.76/297.15 Found x10:False
% 296.76/297.15 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of False
% 296.76/297.15 Found (fun (x2:((mdia_d (mbox_d p)) V00))=> x10) as proof of (((mdia_d (mbox_d p)) V00)->False)
% 296.76/297.15 Found x10:False
% 296.76/297.15 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 296.76/297.15 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 296.76/297.15 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 296.76/297.15 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 296.76/297.15 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 296.76/297.15 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 296.76/297.15 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 296.76/297.15 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 296.76/297.15 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 296.76/297.15 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found or_introl20:=(or_introl2 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found (or_introl2 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found or_introl00:=(or_introl0 ((mnot (mbox_d p)) V1)):((((rel_d V) V00)->False)->((or (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found (or_introl0 ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found ((or_introl (((rel_d V) V00)->False)) ((mnot (mbox_d p)) V1)) as proof of ((((rel_d V) V00)->False)->((or (((rel_d V0) V1)->False)) ((mnot (mbox_d p)) V1)))
% 299.53/299.96 Found or_introl00:=(or_introl0 (p V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) (p V00)))
% 299.53/299.96 Found (or_introl0 (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 299.53/299.96 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 299.53/299.96 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 299.53/299.96 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 299.53/299.96 Found ((or_introl (((rel_d W) V1)->False)) (p V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) (p V00)))
% 299.53/299.96 Found x4:((rel_d V) V0)
% 299.53/299.96 Instantiate: V3:=V0:fofType
% 299.53/299.96 Found x4 as proof of ((rel_d W) V3)
% 299.53/299.96 Found x4:((rel_d V) V0)
% 299.53/299.96 Instantiate: V2:=V0:fofType;V:=W:fofType
% 299.53/299.96 Found x4 as proof of ((rel_d W) V2)
% 299.53/299.96 Found x2:((rel_d V) V0)
% 299.53/299.96 Instantiate: V1:=V0:fofType;V:=W:fofType
% 299.53/299.96 Found x2 as proof of ((rel_d W) V1)
% 299.53/299.96 Found (x4 x2) as proof of False
% 299.53/299.96 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 299.53/299.96 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 299.53/299.96 Found or_introl10:=(or_introl1 (p V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) (p V0)))
% 299.53/299.96 Found (or_introl1 (p
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