TSTP Solution File: SYO459^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO459^2 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 00:51:37 EDT 2022
% Result : Timeout 288.59s 288.95s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYO459^2 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Mar 12 21:57:27 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 0.45/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.45/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fba70>, <kernel.Type object at 0x2b81c32fb998>) of role type named mu_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mu:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fbb48>, <kernel.DependentProduct object at 0x2b81c32fba70>) of role type named meq_ind_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.45/0.65 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
% 0.45/0.65 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.45/0.65 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fba70>, <kernel.DependentProduct object at 0x2b81c32fba28>) of role type named meq_prop_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 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
% 0.45/0.65 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))))
% 0.45/0.65 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fbab8>, <kernel.DependentProduct object at 0x2b81c32fbb48>) of role type named mnot_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.45/0.65 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fbb48>, <kernel.DependentProduct object at 0x2b81c32fb290>) of role type named mor_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 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
% 0.45/0.65 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))))
% 0.45/0.65 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fb290>, <kernel.DependentProduct object at 0x2b81c32fb518>) of role type named mand_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 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
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.45/0.65 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2b81c32fb518>, <kernel.DependentProduct object at 0x2b81c32fb320>) of role type named mimplies_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 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
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.45/0.66 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81c32fb320>, <kernel.DependentProduct object at 0x2b81c32fb6c8>) of role type named mimplied_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.66 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
% 0.45/0.66 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.45/0.66 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81c32fb6c8>, <kernel.DependentProduct object at 0x2b81c32fbb48>) of role type named mequiv_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.66 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
% 0.45/0.66 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))))
% 0.45/0.66 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81c32fbb48>, <kernel.DependentProduct object at 0x2b81c32fb290>) of role type named mxor_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.66 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
% 0.45/0.66 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.45/0.66 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81c32fb098>, <kernel.DependentProduct object at 0x2b81c32fb4d0>) of role type named mforall_ind_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.45/0.66 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
% 0.45/0.66 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.45/0.66 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81cadce488>, <kernel.DependentProduct object at 0x2b81c32fb6c8>) of role type named mforall_prop_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.45/0.66 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
% 0.45/0.66 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))))
% 0.45/0.66 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.45/0.66 FOF formula (<kernel.Constant object at 0x2b81c32fb6c8>, <kernel.DependentProduct object at 0x2b81c32fb050>) of role type named mexists_ind_type
% 0.45/0.66 Using role type
% 0.45/0.66 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.45/0.66 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
% 0.50/0.67 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)))))))
% 0.50/0.67 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b81c32fb050>, <kernel.DependentProduct object at 0x2b81c32fb1b8>) of role type named mexists_prop_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.50/0.67 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
% 0.50/0.67 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)))))))
% 0.50/0.67 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b81cadcc518>, <kernel.DependentProduct object at 0x2b81c32fb050>) of role type named mtrue_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mtrue:(fofType->Prop)
% 0.50/0.67 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.50/0.67 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.50/0.67 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b81cadccb90>, <kernel.DependentProduct object at 0x2b81c32fb050>) of role type named mfalse_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mfalse:(fofType->Prop)
% 0.50/0.67 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.50/0.67 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.50/0.67 Defined: mfalse:=(mnot mtrue)
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b81cadccb90>, <kernel.DependentProduct object at 0x2b81c32fbb48>) of role type named mbox_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.67 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
% 0.50/0.67 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)))))
% 0.50/0.67 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b81cadccbd8>, <kernel.DependentProduct object at 0x1475cb0>) of role type named mdia_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.67 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
% 0.50/0.67 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)))))
% 0.50/0.67 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x1475ea8>, <kernel.DependentProduct object at 0x2b81c32fb680>) of role type named mreflexive_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.50/0.67 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.50/0.67 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.50/0.67 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x1475ea8>, <kernel.DependentProduct object at 0x2b81c32fb908>) of role type named msymmetric_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 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
% 0.50/0.68 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)))))
% 0.50/0.68 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x1475ea8>, <kernel.DependentProduct object at 0x2b81c32fb128>) of role type named mserial_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 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
% 0.50/0.68 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))))))
% 0.50/0.68 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2b81c32fb128>, <kernel.DependentProduct object at 0x2b81c32fb6c8>) of role type named mtransitive_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 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
% 0.50/0.68 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)))))
% 0.50/0.68 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2b81c32fb6c8>, <kernel.DependentProduct object at 0x2b81c32fb908>) of role type named meuclidean_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 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
% 0.50/0.68 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)))))
% 0.50/0.68 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2b81c32fb1b8>, <kernel.DependentProduct object at 0x2b81c32fb908>) of role type named mpartially_functional_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 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
% 0.50/0.68 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)))))
% 0.50/0.68 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))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2b81c32fb290>, <kernel.DependentProduct object at 0x147e5f0>) of role type named mfunctional_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 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
% 0.50/0.69 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)))))))))
% 0.50/0.69 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))))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x2b81c32fb128>, <kernel.DependentProduct object at 0x147e7a0>) of role type named mweakly_dense_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 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
% 0.50/0.69 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)))))))))
% 0.50/0.69 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))))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x2b81c32fb128>, <kernel.DependentProduct object at 0x147e5f0>) of role type named mweakly_connected_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 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
% 0.50/0.69 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))))))
% 0.50/0.69 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)))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x2b81c32fb128>, <kernel.DependentProduct object at 0x147ed88>) of role type named mweakly_directed_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 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
% 0.50/0.69 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))))))))
% 0.50/0.69 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)))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x147e6c8>, <kernel.DependentProduct object at 0x147eb00>) of role type named mvalid_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mvalid:((fofType->Prop)->Prop)
% 0.50/0.69 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.50/0.69 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.50/0.69 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x147efc8>, <kernel.DependentProduct object at 0x2b81c32f9200>) of role type named minvalid_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring minvalid:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.50/0.70 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x147efc8>, <kernel.DependentProduct object at 0x2b81c32f9560>) of role type named msatisfiable_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.50/0.70 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x2b81c32f93f8>, <kernel.DependentProduct object at 0x2b81c32f9638>) of role type named mcountersatisfiable_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.50/0.70 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.50/0.70 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^2.ax, trying next directory
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x1475bd8>, <kernel.DependentProduct object at 0x2b81c32fbfc8>) of role type named rel_d_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring rel_d:(fofType->(fofType->Prop))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x1475e18>, <kernel.DependentProduct object at 0x2b81c32fbfc8>) of role type named mbox_d_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mbox_d:((fofType->Prop)->(fofType->Prop))
% 0.50/0.70 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
% 0.50/0.70 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)))))
% 0.50/0.70 Defined: mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V))))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x1475e18>, <kernel.DependentProduct object at 0x2b81c32fbf80>) of role type named mdia_d_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mdia_d:((fofType->Prop)->(fofType->Prop))
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))) of role definition named mdia_d
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_d) (fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))))
% 0.50/0.70 Defined: mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi))))
% 0.50/0.70 FOF formula (mserial rel_d) of role axiom named a1
% 0.50/0.70 A new axiom: (mserial rel_d)
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x147b5a8>, <kernel.DependentProduct object at 0x2b81cadc9d40>) of role type named p_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring p:(fofType->Prop)
% 0.50/0.70 FOF formula (mvalid ((mimplies (mdia_d (mbox_d p))) (mdia_d (mbox_d (mdia_d (mbox_d p)))))) of role conjecture named prove
% 0.50/0.70 Conjecture to prove = (mvalid ((mimplies (mdia_d (mbox_d p))) (mdia_d (mbox_d (mdia_d (mbox_d p)))))):Prop
% 0.50/0.70 Parameter mu_DUMMY:mu.
% 0.50/0.70 Parameter fofType_DUMMY:fofType.
% 0.50/0.70 We need to prove ['(mvalid ((mimplies (mdia_d (mbox_d p))) (mdia_d (mbox_d (mdia_d (mbox_d p))))))']
% 0.50/0.70 Parameter mu:Type.
% 0.50/0.70 Parameter fofType:Type.
% 0.50/0.70 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.50/0.70 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.50/0.70 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 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)).
% 0.50/0.70 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.50/0.70 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.50/0.70 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))).
% 0.50/0.70 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 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).
% 0.50/0.70 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).
% 0.50/0.70 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).
% 0.50/0.70 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).
% 0.50/0.70 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).
% 0.50/0.70 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).
% 9.84/10.02 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).
% 9.84/10.02 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 9.84/10.02 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 9.84/10.02 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 9.84/10.02 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 9.84/10.02 Parameter rel_d:(fofType->(fofType->Prop)).
% 9.84/10.02 Definition mbox_d:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_d W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 9.84/10.02 Definition mdia_d:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_d (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 9.84/10.02 Axiom a1:(mserial rel_d).
% 9.84/10.02 Parameter p:(fofType->Prop).
% 9.84/10.02 Trying to prove (mvalid ((mimplies (mdia_d (mbox_d p))) (mdia_d (mbox_d (mdia_d (mbox_d p))))))
% 9.84/10.02 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 9.84/10.02 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 22.73/22.89 Found x10:False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 22.73/22.89 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 22.73/22.89 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 22.73/22.89 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 30.99/31.21 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 36.42/36.63 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 42.98/43.18 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 42.98/43.18 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 42.98/43.18 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 42.98/43.18 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 42.98/43.18 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 42.98/43.18 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 42.98/43.18 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 42.98/43.18 Found x3:(((rel_d W) V0)->False)
% 42.98/43.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 42.98/43.18 Found x3 as proof of (((rel_d V) V00)->False)
% 42.98/43.18 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 42.98/43.18 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 42.98/43.18 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 42.98/43.18 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 42.98/43.18 Found x10:False
% 42.98/43.18 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 51.30/51.52 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 51.30/51.52 Found x10:False
% 51.30/51.52 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 51.30/51.52 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 51.30/51.52 Found x3:(((rel_d W) V0)->False)
% 51.30/51.52 Instantiate: V0:=V00:fofType;V:=W:fofType
% 51.30/51.52 Found x3 as proof of (((rel_d V) V00)->False)
% 51.30/51.52 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found x1:(((rel_d W) V)->False)
% 51.30/51.52 Instantiate: V0:=W:fofType;V:=V1:fofType
% 51.30/51.52 Found x1 as proof of (((rel_d V0) V1)->False)
% 51.30/51.52 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 51.30/51.52 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 51.30/51.52 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 51.30/51.52 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 51.30/51.52 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 51.30/51.52 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 51.30/51.52 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 51.30/51.52 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 51.30/51.52 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 51.30/51.52 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 51.30/51.52 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 51.30/51.52 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 51.30/51.52 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 51.30/51.52 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 51.30/51.52 Found x3:(((rel_d W) V0)->False)
% 51.30/51.52 Instantiate: V0:=V00:fofType;V:=W:fofType
% 51.30/51.52 Found x3 as proof of (((rel_d V) V00)->False)
% 51.30/51.52 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found x2:((rel_d V) V0)
% 51.30/51.52 Instantiate: V1:=V0:fofType;V:=W:fofType
% 51.30/51.52 Found x2 as proof of ((rel_d W) V1)
% 51.30/51.52 Found (x4 x2) as proof of False
% 51.30/51.52 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 51.30/51.52 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 51.30/51.52 Found x3:(((rel_d W) V0)->False)
% 51.30/51.52 Instantiate: V0:=V00:fofType;V:=W:fofType
% 51.30/51.52 Found x3 as proof of (((rel_d V) V00)->False)
% 51.30/51.52 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 51.30/51.52 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 61.25/61.45 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 61.25/61.45 Found x1:(((rel_d W) V)->False)
% 61.25/61.45 Instantiate: V0:=W:fofType;V:=V1:fofType
% 61.25/61.45 Found x1 as proof of (((rel_d V0) V1)->False)
% 61.25/61.45 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 61.25/61.45 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 61.25/61.45 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 61.25/61.45 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found x10:False
% 61.25/61.45 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 61.25/61.45 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 61.25/61.45 Found x10:False
% 61.25/61.45 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.25/61.45 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.25/61.45 Found x10:False
% 61.25/61.45 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 61.25/61.45 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 61.25/61.45 Found x10:False
% 61.25/61.45 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 61.25/61.45 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 61.25/61.45 Found x2:((rel_d V) V0)
% 61.25/61.45 Instantiate: V1:=V0:fofType;V:=W:fofType
% 61.25/61.45 Found x2 as proof of ((rel_d W) V1)
% 61.25/61.45 Found (x4 x2) as proof of False
% 61.25/61.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 61.25/61.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 61.25/61.45 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 61.25/61.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 73.86/74.12 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 73.86/74.12 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 73.86/74.12 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found x10:False
% 73.86/74.12 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 73.86/74.12 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 73.86/74.12 Found x10:False
% 73.86/74.12 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 73.86/74.12 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 73.86/74.12 Found x3:(((rel_d W) V0)->False)
% 73.86/74.12 Instantiate: V0:=V00:fofType;V:=W:fofType
% 73.86/74.12 Found x3 as proof of (((rel_d V) V00)->False)
% 73.86/74.12 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found x10:False
% 73.86/74.12 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 73.86/74.12 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 73.86/74.12 Found x10:False
% 73.86/74.12 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 73.86/74.12 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 73.86/74.12 Found x3:(((rel_d W) V0)->False)
% 73.86/74.12 Instantiate: V0:=V00:fofType;V:=W:fofType
% 73.86/74.12 Found x3 as proof of (((rel_d V) V00)->False)
% 73.86/74.12 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 73.86/74.12 Found x1:(((rel_d W) V)->False)
% 73.86/74.12 Instantiate: V0:=W:fofType;V:=V1:fofType
% 73.86/74.12 Found x1 as proof of (((rel_d V0) V1)->False)
% 73.86/74.12 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 73.86/74.12 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 73.86/74.12 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 73.86/74.12 Found or_intror00:=(or_intror0 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 73.86/74.12 Found (or_intror0 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 73.86/74.12 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found x3:(((rel_d W) V0)->False)
% 86.22/86.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 86.22/86.45 Found x3 as proof of (((rel_d V) V00)->False)
% 86.22/86.45 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 86.22/86.45 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 86.22/86.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 86.22/86.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 86.22/86.45 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 86.22/86.45 Found x3:(((rel_d W) V0)->False)
% 86.22/86.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 86.22/86.45 Found x3 as proof of (((rel_d V) V00)->False)
% 86.22/86.45 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 86.22/86.45 Found x1:(((rel_d W) V)->False)
% 86.22/86.45 Instantiate: V0:=W:fofType;V:=V1:fofType
% 86.22/86.45 Found x1 as proof of (((rel_d V0) V1)->False)
% 86.22/86.45 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 86.22/86.45 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 86.22/86.45 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 86.22/86.45 Found x2:((rel_d V) V0)
% 86.22/86.45 Instantiate: V1:=V0:fofType;V:=W:fofType
% 86.22/86.45 Found x2 as proof of ((rel_d W) V1)
% 86.22/86.45 Found (x4 x2) as proof of False
% 86.22/86.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 86.22/86.45 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 86.22/86.45 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 86.22/86.45 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 86.22/86.45 Found x3:(((rel_d W) V0)->False)
% 86.22/86.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 86.22/86.45 Found x3 as proof of (((rel_d V) V00)->False)
% 86.22/86.45 Found (or_intror10 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 86.22/86.45 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 86.22/86.45 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 86.22/86.45 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 90.25/90.46 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 90.25/90.46 Found x10:False
% 90.25/90.46 Found (fun (x2:(p V00))=> x10) as proof of False
% 90.25/90.46 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 90.25/90.46 Found x10:False
% 90.25/90.46 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 90.25/90.46 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 90.25/90.46 Found x3:(((rel_d W) V0)->False)
% 90.25/90.46 Instantiate: V0:=V00:fofType;V:=W:fofType
% 90.25/90.46 Found x3 as proof of (((rel_d V) V00)->False)
% 90.25/90.46 Found (or_intror10 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 90.25/90.46 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 90.25/90.46 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 90.25/90.46 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 90.25/90.46 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 90.25/90.46 Found x1:(((rel_d W) V)->False)
% 90.25/90.46 Instantiate: V0:=W:fofType;V:=V1:fofType
% 90.25/90.46 Found x1 as proof of (((rel_d V0) V1)->False)
% 90.25/90.46 Found (or_intror10 x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 90.25/90.46 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 90.25/90.46 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 90.25/90.46 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 90.25/90.46 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 90.25/90.46 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 90.25/90.46 Found (((or_comm_i ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 95.55/95.79 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 95.55/95.79 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 95.55/95.79 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 95.55/95.79 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 95.55/95.79 Found x2:((rel_d V) V0)
% 95.55/95.79 Instantiate: V1:=V0:fofType;V:=W:fofType
% 95.55/95.79 Found x2 as proof of ((rel_d W) V1)
% 95.55/95.79 Found (x4 x2) as proof of False
% 95.55/95.79 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 95.55/95.79 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 95.55/95.79 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 95.55/95.79 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 95.55/95.79 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 95.55/95.79 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 95.55/95.79 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 95.55/95.79 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 95.55/95.79 Found x2:((rel_d V) V0)
% 95.55/95.79 Instantiate: V1:=V0:fofType;V:=W:fofType
% 98.67/98.91 Found x2 as proof of ((rel_d W) V1)
% 98.67/98.91 Found (x4 x2) as proof of False
% 98.67/98.91 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 98.67/98.91 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 98.67/98.91 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found (or_introl0 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 98.67/98.91 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found (or_introl0 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 98.67/98.91 Found x3:(((rel_d W) V0)->False)
% 98.67/98.91 Instantiate: V0:=V00:fofType;V:=W:fofType
% 98.67/98.91 Found x3 as proof of (((rel_d V) V00)->False)
% 104.22/104.48 Found (or_intror10 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 104.22/104.48 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 104.22/104.48 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 104.22/104.48 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 104.22/104.48 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 104.22/104.48 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 104.22/104.48 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 104.22/104.48 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 104.22/104.48 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 104.22/104.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 104.22/104.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 104.22/104.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 104.22/104.48 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found x10:False
% 104.22/104.48 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 104.22/104.48 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 104.22/104.48 Found x10:False
% 104.22/104.48 Found (fun (x2:(p V00))=> x10) as proof of False
% 104.22/104.48 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 104.22/104.48 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 104.22/104.48 Found x3:(((rel_d W) V0)->False)
% 104.22/104.48 Instantiate: V0:=V00:fofType;V:=W:fofType
% 106.91/107.14 Found x3 as proof of (((rel_d V) V00)->False)
% 106.91/107.14 Found (or_intror10 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 106.91/107.14 Found ((or_intror1 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 106.91/107.14 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 106.91/107.14 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 106.91/107.14 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 106.91/107.14 Found ((or_comm_i0 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 106.91/107.14 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 106.91/107.14 Found x1:(((rel_d W) V)->False)
% 106.91/107.14 Instantiate: V0:=W:fofType;V:=V1:fofType
% 106.91/107.14 Found x1 as proof of (((rel_d V0) V1)->False)
% 106.91/107.14 Found (or_intror10 x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 106.91/107.14 Found ((or_intror1 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 106.91/107.14 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 106.91/107.14 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 106.91/107.14 Found (or_comm_i00 (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 106.91/107.14 Found ((or_comm_i0 (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 106.91/107.14 Found (((or_comm_i ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 106.91/107.14 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 106.91/107.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found x2:((rel_d V) V0)
% 111.84/112.10 Instantiate: V1:=V0:fofType;V:=W:fofType
% 111.84/112.10 Found x2 as proof of ((rel_d W) V1)
% 111.84/112.10 Found (x4 x2) as proof of False
% 111.84/112.10 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 111.84/112.10 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 111.84/112.10 Found or_intror10:=(or_intror1 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 111.84/112.10 Found (or_intror1 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 111.84/112.10 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 111.84/112.10 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 111.84/112.10 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 111.84/112.10 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 111.84/112.10 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 111.84/112.10 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found (or_introl0 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 111.84/112.10 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 111.84/112.10 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found (or_introl0 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 120.21/120.51 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found (or_introl0 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 120.21/120.51 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 120.21/120.51 Found x4:((rel_d V) V0)
% 120.21/120.51 Instantiate: V2:=V0:fofType;V:=W:fofType
% 120.21/120.51 Found x4 as proof of ((rel_d W) V2)
% 120.21/120.51 Found (x6 x4) as proof of False
% 120.21/120.51 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 120.21/120.51 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 131.56/131.83 Found x30:False
% 131.56/131.83 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 131.56/131.83 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 131.56/131.83 Found x3:(((rel_d W) V0)->False)
% 131.56/131.83 Instantiate: V0:=V00:fofType;V:=W:fofType
% 131.56/131.83 Found x3 as proof of (((rel_d V) V00)->False)
% 131.56/131.83 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 131.56/131.83 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found x4:((rel_d V) V0)
% 131.56/131.83 Instantiate: V2:=V0:fofType
% 131.56/131.83 Found x4 as proof of ((rel_d W) V2)
% 131.56/131.83 Found (x6 x4) as proof of False
% 131.56/131.83 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 131.56/131.83 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 131.56/131.83 Found x3:(((rel_d W) V0)->False)
% 131.56/131.83 Instantiate: V0:=V00:fofType;V:=W:fofType
% 131.56/131.83 Found x3 as proof of (((rel_d V) V00)->False)
% 131.56/131.83 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.56/131.83 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 131.56/131.83 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.62/131.89 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.62/131.89 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.62/131.89 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 131.62/131.89 Found x1:(((rel_d W) V)->False)
% 131.62/131.89 Instantiate: V0:=W:fofType;V:=V1:fofType
% 131.62/131.89 Found x1 as proof of (((rel_d V0) V1)->False)
% 131.62/131.89 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 131.62/131.89 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 131.62/131.89 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 135.49/135.78 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 135.49/135.78 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 135.49/135.78 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 135.49/135.78 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 135.49/135.78 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 135.49/135.78 Found x3:(((rel_d W) V0)->False)
% 135.49/135.78 Instantiate: V0:=V00:fofType;V:=W:fofType
% 135.49/135.78 Found x3 as proof of (((rel_d V) V00)->False)
% 135.49/135.78 Found (or_intror00 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 135.49/135.78 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 135.49/135.78 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 135.49/135.78 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 135.49/135.78 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 135.49/135.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 135.49/135.78 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 135.49/135.78 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 143.30/143.60 Found x10:False
% 143.30/143.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 143.30/143.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 143.30/143.60 Found x10:False
% 143.30/143.60 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 143.30/143.60 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 143.30/143.60 Found x10:False
% 143.30/143.60 Found (fun (x2:(p V00))=> x10) as proof of False
% 143.30/143.60 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 143.30/143.60 Found x10:False
% 143.30/143.60 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 143.30/143.60 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 143.30/143.60 Found x30:False
% 143.30/143.60 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 143.30/143.60 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 143.30/143.60 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 143.30/143.60 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 143.30/143.60 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 143.30/143.60 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 143.30/143.60 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 143.30/143.60 Found x3:(((rel_d W) V0)->False)
% 143.30/143.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 143.30/143.60 Found x3 as proof of (((rel_d V) V00)->False)
% 143.30/143.60 Found (or_intror00 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 143.30/143.60 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 143.30/143.60 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 143.30/143.60 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 143.30/143.60 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 143.30/143.60 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 143.30/143.60 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 143.30/143.60 Found x4:((rel_d V) V0)
% 143.30/143.60 Instantiate: V2:=V0:fofType;V:=W:fofType
% 143.30/143.60 Found x4 as proof of ((rel_d W) V2)
% 143.30/143.60 Found (x6 x4) as proof of False
% 143.30/143.60 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 143.30/143.60 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 143.30/143.60 Found x1:(((rel_d W) V)->False)
% 143.30/143.60 Instantiate: V0:=W:fofType;V:=V1:fofType
% 143.30/143.60 Found x1 as proof of (((rel_d V0) V1)->False)
% 143.30/143.60 Found (or_intror00 x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 145.60/145.91 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 145.60/145.91 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 145.60/145.91 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 145.60/145.91 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found (((or_comm_i ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 145.60/145.91 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 145.60/145.91 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))):((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 145.60/145.91 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 145.60/145.91 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V0)
% 145.60/145.91 Found x3:(((rel_d W) V0)->False)
% 145.60/145.91 Instantiate: V0:=V00:fofType;V:=W:fofType
% 145.60/145.91 Found x3 as proof of (((rel_d V) V00)->False)
% 145.60/145.91 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 145.60/145.91 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 145.60/145.91 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found x3:(((rel_d W) V0)->False)
% 151.52/151.76 Instantiate: V0:=V00:fofType;V:=W:fofType
% 151.52/151.76 Found x3 as proof of (((rel_d V) V00)->False)
% 151.52/151.76 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 151.52/151.76 Found x30:False
% 151.52/151.76 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 151.52/151.76 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 151.52/151.76 Found x4:((rel_d V) V0)
% 151.52/151.76 Instantiate: V2:=V0:fofType
% 151.52/151.76 Found x4 as proof of ((rel_d W) V2)
% 151.52/151.76 Found (x6 x4) as proof of False
% 151.52/151.76 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 151.52/151.76 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 151.52/151.76 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found x2:((rel_d V) V0)
% 151.52/151.76 Instantiate: V1:=V0:fofType;V:=W:fofType
% 151.52/151.76 Found x2 as proof of ((rel_d W) V1)
% 151.52/151.76 Found (x4 x2) as proof of False
% 151.52/151.76 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 151.52/151.76 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 151.52/151.76 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 151.52/151.76 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 155.74/156.00 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 155.74/156.00 Found x3:(((rel_d W) V0)->False)
% 155.74/156.00 Instantiate: V0:=V00:fofType;V:=W:fofType
% 155.74/156.00 Found x3 as proof of (((rel_d V) V00)->False)
% 155.74/156.00 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 155.74/156.00 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 155.74/156.00 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 155.74/156.00 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 155.74/156.00 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found x3:(((rel_d W) V0)->False)
% 156.55/156.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 156.55/156.85 Found x3 as proof of (((rel_d V) V00)->False)
% 156.55/156.85 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 156.55/156.85 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 156.55/156.85 Found x1:(((rel_d W) V)->False)
% 156.55/156.85 Instantiate: V0:=W:fofType;V:=V1:fofType
% 156.55/156.85 Found x1 as proof of (((rel_d V0) V1)->False)
% 156.55/156.85 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 156.55/156.85 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 156.55/156.85 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 156.55/156.85 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 157.35/157.60 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found x3:(((rel_d W) V0)->False)
% 157.35/157.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 157.35/157.60 Found x3 as proof of (((rel_d V) V00)->False)
% 157.35/157.60 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found x3:(((rel_d W) V0)->False)
% 157.35/157.60 Instantiate: V0:=V00:fofType;V:=W:fofType
% 157.35/157.60 Found x3 as proof of (((rel_d V) V00)->False)
% 157.35/157.60 Found (or_intror00 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 157.35/157.60 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 157.35/157.60 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 157.35/157.60 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 157.35/157.60 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 157.35/157.60 Found x1:(((rel_d W) V)->False)
% 157.35/157.60 Instantiate: V0:=W:fofType;V:=V1:fofType
% 157.35/157.60 Found x1 as proof of (((rel_d V0) V1)->False)
% 157.35/157.60 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 157.35/157.60 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 159.05/159.34 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 159.05/159.34 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 159.05/159.34 Found x30:False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 159.05/159.34 Found x30:False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 159.05/159.34 Found x30:False
% 159.05/159.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 159.05/159.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 159.05/159.34 Found x10:False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 159.05/159.34 Found x10:False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 159.05/159.34 Found x10:False
% 159.05/159.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 159.05/159.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 159.05/159.34 Found x10:False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 159.05/159.34 Found x10:False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 159.05/159.34 Found x30:False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 159.05/159.34 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 159.05/159.34 Found x30:False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 159.05/159.34 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 159.05/159.34 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 159.05/159.34 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 159.05/159.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 159.05/159.34 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 159.05/159.34 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 159.05/159.34 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 159.05/159.34 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 159.05/159.34 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 159.05/159.34 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 159.05/159.34 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 159.05/159.34 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 169.69/169.94 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 169.69/169.94 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 169.69/169.94 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 169.69/169.94 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 169.69/169.94 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 169.69/169.94 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 169.69/169.94 Found x3:(((rel_d W) V0)->False)
% 169.69/169.94 Instantiate: V0:=V00:fofType;V:=W:fofType
% 169.69/169.94 Found x3 as proof of (((rel_d V) V00)->False)
% 169.69/169.94 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 169.69/169.94 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 169.69/169.94 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 169.69/169.94 Found x10:False
% 169.69/169.94 Found (fun (x2:(p V00))=> x10) as proof of False
% 169.69/169.94 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 169.69/169.94 Found x10:False
% 169.69/169.94 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 169.69/169.94 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 169.69/169.94 Found x1:(((rel_d W) V)->False)
% 169.69/169.94 Instantiate: V0:=W:fofType;V:=V1:fofType
% 169.69/169.94 Found x1 as proof of (((rel_d V0) V1)->False)
% 169.69/169.94 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 169.69/169.94 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 169.69/169.94 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 169.69/169.94 Found x10:False
% 169.69/169.94 Found (fun (x2:(p V00))=> x10) as proof of False
% 169.69/169.94 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 169.69/169.94 Found x10:False
% 169.69/169.94 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 169.69/169.94 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 169.69/169.94 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found (or_introl1 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 169.69/169.94 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 169.69/169.94 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 169.69/169.94 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 174.85/175.14 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found (or_introl1 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 174.85/175.14 Found x3:(((rel_d W) V0)->False)
% 174.85/175.14 Instantiate: V0:=V00:fofType;V:=W:fofType
% 174.85/175.14 Found x3 as proof of (((rel_d V) V00)->False)
% 174.85/175.14 Found (or_intror00 x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 174.85/175.14 Found ((or_intror0 (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 174.85/175.14 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 174.85/175.14 Found (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3) as proof of ((or ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False))
% 174.85/175.14 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 174.85/175.14 Found ((or_comm_i1 (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 174.85/175.14 Found (((or_comm_i ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) (((or_intror ((mdia_d (mbox_d p)) V00)) (((rel_d V) V00)->False)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 174.85/175.14 Found x1:(((rel_d W) V)->False)
% 174.85/175.14 Instantiate: V0:=W:fofType;V:=V1:fofType
% 174.85/175.14 Found x1 as proof of (((rel_d V0) V1)->False)
% 174.85/175.14 Found (or_intror00 x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 174.85/175.14 Found ((or_intror0 (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 174.85/175.14 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 174.85/175.14 Found (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1) as proof of ((or ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False))
% 174.85/175.14 Found (or_comm_i10 (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found ((or_comm_i1 (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found (((or_comm_i ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) (((or_intror ((mdia_d (mbox_d p)) V1)) (((rel_d V0) V1)->False)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 181.20/181.48 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 181.20/181.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 181.20/181.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 181.20/181.48 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 181.20/181.48 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 181.20/181.48 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 181.20/181.48 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))):((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 181.20/181.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 181.20/181.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V0)
% 181.20/181.48 Found x3:(((rel_d W) V0)->False)
% 181.20/181.48 Instantiate: V0:=V00:fofType;V:=W:fofType
% 181.20/181.48 Found x3 as proof of (((rel_d V) V00)->False)
% 181.20/181.48 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 181.20/181.48 Found x30:False
% 181.20/181.48 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 181.20/181.48 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 193.90/194.20 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found x2:((rel_d V) V0)
% 193.90/194.20 Instantiate: V1:=V0:fofType;V:=W:fofType
% 193.90/194.20 Found x2 as proof of ((rel_d W) V1)
% 193.90/194.20 Found (x4 x2) as proof of False
% 193.90/194.20 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 193.90/194.20 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 193.90/194.20 Found x3:(((rel_d W) V0)->False)
% 193.90/194.20 Instantiate: V0:=V00:fofType;V:=W:fofType
% 193.90/194.20 Found x3 as proof of (((rel_d V) V00)->False)
% 193.90/194.20 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 193.90/194.20 Found x30:False
% 193.90/194.20 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 193.90/194.20 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 193.90/194.20 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 193.90/194.20 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 193.90/194.20 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 196.93/197.19 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 196.93/197.19 Found x3:(((rel_d W) V0)->False)
% 196.93/197.19 Instantiate: V0:=V00:fofType;V:=W:fofType
% 196.93/197.19 Found x3 as proof of (((rel_d V) V00)->False)
% 196.93/197.19 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 196.93/197.19 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 196.93/197.19 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 196.93/197.19 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 196.93/197.19 Found x1:(((rel_d W) V)->False)
% 196.93/197.19 Instantiate: V0:=W:fofType;V:=V1:fofType
% 196.93/197.19 Found x1 as proof of (((rel_d V0) V1)->False)
% 196.93/197.19 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 196.93/197.19 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 196.93/197.19 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 196.93/197.19 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 196.93/197.19 Found x30:False
% 196.93/197.19 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 196.93/197.19 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 196.93/197.19 Found x10:False
% 196.93/197.19 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 196.93/197.19 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 196.93/197.19 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 196.93/197.19 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 198.27/198.59 Found x30:False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 198.27/198.59 Found x30:False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 198.27/198.59 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 198.27/198.59 Found x10:False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 198.27/198.59 Found x10:False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 198.27/198.59 Found x10:False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 198.27/198.59 Found x10:False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 198.27/198.59 Found x30:False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 198.27/198.59 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 198.27/198.59 Found x30:False
% 198.27/198.59 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 201.77/202.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 201.77/202.06 Found x30:False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 201.77/202.06 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 201.77/202.06 Found x3:(((rel_d W) V0)->False)
% 201.77/202.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 201.77/202.06 Found x3 as proof of (((rel_d V) V00)->False)
% 201.77/202.06 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found x1:(((rel_d W) V)->False)
% 201.77/202.06 Instantiate: V0:=W:fofType;V:=V1:fofType
% 201.77/202.06 Found x1 as proof of (((rel_d V0) V1)->False)
% 201.77/202.06 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found x30:False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 201.77/202.06 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 201.77/202.06 Found x10:False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 201.77/202.06 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 201.77/202.06 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found ((or_intror1 ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 201.77/202.06 Found x10:False
% 201.77/202.06 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 201.77/202.06 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 206.04/206.33 Found x10:False
% 206.04/206.33 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 206.04/206.33 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 206.04/206.33 Found or_intror00:=(or_intror0 (((rel_d W) V2)->False)):((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)))
% 206.04/206.33 Found (or_intror0 (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 206.04/206.33 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 206.04/206.33 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 206.04/206.33 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 206.04/206.33 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V2)->False)) as proof of ((((rel_d W) V2)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 206.04/206.33 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found (or_introl1 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 206.04/206.33 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V00)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found (or_introl1 ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 206.04/206.33 Found x30:False
% 206.04/206.33 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 213.50/213.77 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 213.50/213.77 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V1)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found (or_introl1 ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 213.50/213.77 Found x30:False
% 213.50/213.77 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 213.50/213.77 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 213.50/213.77 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 213.50/213.77 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 213.50/213.77 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 213.50/213.77 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 213.50/213.77 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 213.50/213.77 Found x10:False
% 213.50/213.77 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 213.50/213.77 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 213.50/213.77 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 213.50/213.77 Found ((or_intror1 ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 213.50/213.77 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 213.50/213.77 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 213.50/213.77 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 213.50/213.77 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 213.50/213.77 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 213.50/213.77 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 213.50/213.77 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 213.50/213.77 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 213.50/213.77 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found x30:False
% 220.98/221.27 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 220.98/221.27 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 220.98/221.27 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 220.98/221.27 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 220.98/221.27 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 220.98/221.27 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 220.98/221.27 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 220.98/221.27 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 220.98/221.27 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V1)->False)->((or (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found (or_introl1 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V1)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 220.98/221.27 Found x4:((rel_d V) V0)
% 220.98/221.27 Instantiate: V2:=V0:fofType;V:=W:fofType
% 220.98/221.27 Found x4 as proof of ((rel_d W) V2)
% 220.98/221.27 Found (x6 x4) as proof of False
% 220.98/221.27 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 220.98/221.27 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 224.25/224.56 Found x3:(((rel_d W) V0)->False)
% 224.25/224.56 Instantiate: V0:=V00:fofType;V:=W:fofType
% 224.25/224.56 Found x3 as proof of (((rel_d V) V00)->False)
% 224.25/224.56 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found x3:(((rel_d W) V0)->False)
% 224.25/224.56 Instantiate: V0:=V00:fofType;V:=W:fofType
% 224.25/224.56 Found x3 as proof of (((rel_d V) V00)->False)
% 224.25/224.56 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 224.25/224.56 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found x30:False
% 224.25/224.56 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 224.25/224.56 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 224.25/224.56 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 224.25/224.56 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 231.99/232.34 Found x10:False
% 231.99/232.34 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 231.99/232.34 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 231.99/232.34 Found x3:(((rel_d W) V0)->False)
% 231.99/232.34 Instantiate: V0:=V00:fofType;V:=W:fofType
% 231.99/232.34 Found x3 as proof of (((rel_d V) V00)->False)
% 231.99/232.34 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found x10:False
% 231.99/232.34 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 231.99/232.34 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 231.99/232.34 Found x30:False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 231.99/232.34 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found x10:False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 231.99/232.34 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 231.99/232.34 Found ((or_intror1 ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 231.99/232.34 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 231.99/232.34 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 231.99/232.34 Found x4:((rel_d V) V0)
% 231.99/232.34 Instantiate: V2:=V0:fofType
% 231.99/232.34 Found x4 as proof of ((rel_d W) V2)
% 231.99/232.34 Found (x6 x4) as proof of False
% 231.99/232.34 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 231.99/232.34 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 231.99/232.34 Found x30:False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 231.99/232.34 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 231.99/232.34 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 231.99/232.34 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 233.84/234.11 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 233.84/234.11 Found x4:((rel_d V) V0)
% 233.84/234.11 Instantiate: V2:=V0:fofType;V:=W:fofType
% 233.84/234.11 Found x4 as proof of ((rel_d W) V2)
% 233.84/234.11 Found (x6 x4) as proof of False
% 233.84/234.11 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 233.84/234.11 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 233.84/234.11 Found x3:(((rel_d W) V0)->False)
% 233.84/234.11 Instantiate: V0:=V00:fofType;V:=W:fofType
% 233.84/234.11 Found x3 as proof of (((rel_d V) V00)->False)
% 233.84/234.11 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found x30:False
% 233.84/234.11 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 233.84/234.11 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 233.84/234.11 Found x3:(((rel_d W) V0)->False)
% 233.84/234.11 Instantiate: V0:=V00:fofType;V:=W:fofType
% 233.84/234.11 Found x3 as proof of (((rel_d V) V00)->False)
% 233.84/234.11 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 233.84/234.11 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 233.84/234.11 Found x1:(((rel_d W) V)->False)
% 233.84/234.11 Instantiate: V0:=W:fofType;V:=V1:fofType
% 233.84/234.11 Found x1 as proof of (((rel_d V0) V1)->False)
% 233.84/234.11 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 233.84/234.11 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 233.84/234.11 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found x1:(((rel_d W) V)->False)
% 235.93/236.22 Instantiate: V0:=W:fofType;V:=V1:fofType
% 235.93/236.22 Found x1 as proof of (((rel_d V0) V1)->False)
% 235.93/236.22 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 235.93/236.22 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 235.93/236.22 Found x30:False
% 235.93/236.22 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 235.93/236.22 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 235.93/236.22 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 235.93/236.22 Found ((or_intror1 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 235.93/236.22 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 235.93/236.22 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 235.93/236.22 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 235.93/236.22 Found x10:False
% 235.93/236.22 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 235.93/236.22 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 235.93/236.22 Found (or_intror10 (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found ((or_intror1 ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found (fun (V1:fofType)=> (((or_intror (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 242.39/242.70 Found x10:False
% 242.39/242.70 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 242.39/242.70 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 242.39/242.70 Found x10:False
% 242.39/242.70 Found (fun (x2:(p V00))=> x10) as proof of False
% 242.39/242.70 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 242.39/242.70 Found x3:(((rel_d W) V0)->False)
% 242.39/242.70 Instantiate: V0:=V00:fofType;V:=W:fofType
% 242.39/242.70 Found x3 as proof of (((rel_d V) V00)->False)
% 242.39/242.70 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found x1:(((rel_d W) V)->False)
% 242.39/242.70 Instantiate: V0:=W:fofType;V:=V1:fofType
% 242.39/242.70 Found x1 as proof of (((rel_d V0) V1)->False)
% 242.39/242.70 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 242.39/242.70 Found x3:(((rel_d W) V0)->False)
% 242.39/242.70 Instantiate: V0:=V00:fofType;V:=W:fofType
% 242.39/242.70 Found x3 as proof of (((rel_d V) V00)->False)
% 242.39/242.70 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 242.39/242.70 Found x4:((rel_d V) V0)
% 242.39/242.70 Instantiate: V2:=V0:fofType
% 242.39/242.70 Found x4 as proof of ((rel_d W) V2)
% 242.39/242.70 Found (x6 x4) as proof of False
% 242.39/242.70 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 242.39/242.70 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 242.39/242.70 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 242.39/242.70 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 242.39/242.70 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 242.39/242.70 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 242.39/242.70 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 242.39/242.70 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 242.39/242.70 Found x30:False
% 242.39/242.70 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 242.39/242.70 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 246.39/246.69 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 246.39/246.69 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 246.39/246.69 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 246.39/246.69 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 246.39/246.69 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 246.39/246.69 Found or_intror10:=(or_intror1 (((rel_d W) V1)->False)):((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)))
% 246.39/246.69 Found (or_intror1 (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 246.39/246.69 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 246.39/246.69 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 246.39/246.69 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 246.39/246.69 Found ((or_intror ((mdia_d (mbox_d p)) V0)) (((rel_d W) V1)->False)) as proof of ((((rel_d W) V1)->False)->((or ((mdia_d (mbox_d p)) V0)) (((rel_d V) V0)->False)))
% 246.39/246.69 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 246.39/246.69 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 246.39/246.69 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 246.39/246.69 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 246.39/246.69 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 246.39/246.69 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 246.39/246.69 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))):((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 246.39/246.69 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 246.39/246.69 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 246.39/246.69 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 255.99/256.27 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 255.99/256.27 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V0)
% 255.99/256.27 Found x3:(((rel_d W) V0)->False)
% 255.99/256.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 255.99/256.27 Found x3 as proof of (((rel_d V) V00)->False)
% 255.99/256.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 255.99/256.27 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 255.99/256.27 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 255.99/256.27 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 255.99/256.27 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 255.99/256.27 Found x3:(((rel_d W) V0)->False)
% 255.99/256.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 255.99/256.27 Found x3 as proof of (((rel_d V) V00)->False)
% 255.99/256.27 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found x3:(((rel_d W) V0)->False)
% 255.99/256.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 255.99/256.27 Found x3 as proof of (((rel_d V) V00)->False)
% 255.99/256.27 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found x1:(((rel_d W) V)->False)
% 255.99/256.27 Instantiate: V0:=W:fofType;V:=V1:fofType
% 255.99/256.27 Found x1 as proof of (((rel_d V0) V1)->False)
% 255.99/256.27 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 255.99/256.27 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 255.99/256.27 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 255.99/256.27 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 255.99/256.27 Found x3:(((rel_d W) V0)->False)
% 255.99/256.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 255.99/256.27 Found x3 as proof of (((rel_d V) V00)->False)
% 255.99/256.27 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 255.99/256.27 Found x30:False
% 255.99/256.27 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 255.99/256.27 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 261.33/261.65 Found x10:False
% 261.33/261.65 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 261.33/261.65 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 261.33/261.65 Found x4:((rel_d V) V0)
% 261.33/261.65 Instantiate: V2:=V0:fofType;V:=W:fofType
% 261.33/261.65 Found x4 as proof of ((rel_d W) V2)
% 261.33/261.65 Found (x6 x4) as proof of False
% 261.33/261.65 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 261.33/261.65 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 261.33/261.65 Found x3:(((rel_d W) V0)->False)
% 261.33/261.65 Instantiate: V0:=V00:fofType;V:=W:fofType
% 261.33/261.65 Found x3 as proof of (((rel_d V) V00)->False)
% 261.33/261.65 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 261.33/261.65 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 261.33/261.65 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 261.33/261.65 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 261.33/261.65 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 261.33/261.65 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 261.33/261.65 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 261.33/261.65 Found x30:False
% 261.33/261.65 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of False
% 261.33/261.65 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V0))=> x30) as proof of ((mdia_d (mbox_d p)) V0)
% 268.74/269.06 Found x3:(((rel_d W) V0)->False)
% 268.74/269.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 268.74/269.06 Found x3 as proof of (((rel_d V) V00)->False)
% 268.74/269.06 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found x1:(((rel_d W) V)->False)
% 268.74/269.06 Instantiate: V0:=W:fofType;V:=V1:fofType
% 268.74/269.06 Found x1 as proof of (((rel_d V0) V1)->False)
% 268.74/269.06 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found x2:((rel_d V) V0)
% 268.74/269.06 Instantiate: V1:=V0:fofType;V:=W:fofType
% 268.74/269.06 Found x2 as proof of ((rel_d W) V1)
% 268.74/269.06 Found (x4 x2) as proof of False
% 268.74/269.06 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 268.74/269.06 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 268.74/269.06 Found x3:(((rel_d W) V0)->False)
% 268.74/269.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 268.74/269.06 Found x3 as proof of (((rel_d V) V00)->False)
% 268.74/269.06 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 268.74/269.06 Found x4:((rel_d V) V0)
% 268.74/269.06 Instantiate: V2:=V0:fofType
% 268.74/269.06 Found x4 as proof of ((rel_d W) V2)
% 268.74/269.06 Found (x6 x4) as proof of False
% 268.74/269.06 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 268.74/269.06 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 268.74/269.06 Found x1:(((rel_d W) V)->False)
% 268.74/269.06 Instantiate: V0:=W:fofType;V:=V1:fofType
% 268.74/269.06 Found x1 as proof of (((rel_d V0) V1)->False)
% 268.74/269.06 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 268.74/269.06 Found x30:False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 268.74/269.06 Found x30:False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 268.74/269.06 Found x10:False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 268.74/269.06 Found x10:False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 268.74/269.06 Found x10:False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 268.74/269.06 Found x30:False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x30) as proof of ((((rel_d W) V1)->False)->False)
% 268.74/269.06 Found x30:False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of False
% 268.74/269.06 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> x30) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->False)
% 268.74/269.06 Found x10:False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of False
% 268.74/269.06 Found (fun (x5:(((rel_d W) V1)->False))=> x10) as proof of ((((rel_d W) V1)->False)->False)
% 268.74/269.06 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 272.38/272.67 Found x3:(((rel_d W) V0)->False)
% 272.38/272.67 Instantiate: V0:=V00:fofType;V:=W:fofType
% 272.38/272.67 Found x3 as proof of (((rel_d V) V00)->False)
% 272.38/272.67 Found (or_introl00 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found ((or_introl0 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 272.38/272.67 Found x2:((rel_d V) V0)
% 272.38/272.67 Instantiate: V1:=V0:fofType;V:=W:fofType
% 272.38/272.67 Found x2 as proof of ((rel_d W) V1)
% 272.38/272.67 Found (x4 x2) as proof of False
% 272.38/272.67 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of False
% 272.38/272.67 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as proof of ((((rel_d W) V1)->False)->False)
% 272.38/272.67 Found x1:(((rel_d W) V)->False)
% 272.38/272.67 Instantiate: V0:=W:fofType;V:=V1:fofType
% 272.38/272.67 Found x1 as proof of (((rel_d V0) V1)->False)
% 272.38/272.67 Found (or_introl00 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 272.38/272.67 Found ((or_introl0 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 272.38/272.67 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 272.38/272.67 Found or_introl20:=(or_introl2 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found (or_introl2 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 272.38/272.67 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 272.38/272.67 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 273.38/273.74 Found x3:(((rel_d W) V0)->False)
% 273.38/273.74 Instantiate: V0:=V00:fofType;V:=W:fofType
% 273.38/273.74 Found x3 as proof of (((rel_d V) V00)->False)
% 273.38/273.74 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))
% 273.38/273.74 Found ((or_ind20 ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found (((or_ind2 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) x4)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found ((((fun (P:Prop) (x5:((((rel_d W) V00)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V00)->P))=> ((((((or_ind (((rel_d W) V00)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V00)) P) x5) x6) (x V00))) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) ((or_introl (((rel_d W) V00)->False)) ((mdia_d (mbox_d p)) V00))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V00))=> (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 273.38/273.74 Found x4:((rel_d V) V0)
% 273.38/273.74 Instantiate: V2:=V0:fofType;V:=W:fofType
% 273.38/273.74 Found x4 as proof of ((rel_d W) V2)
% 273.38/273.74 Found (x6 x4) as proof of False
% 273.38/273.74 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 273.38/273.74 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 273.38/273.74 Found x1:(((rel_d W) V)->False)
% 273.38/273.74 Instantiate: V0:=W:fofType;V:=V1:fofType
% 273.38/273.74 Found x1 as proof of (((rel_d V0) V1)->False)
% 273.38/273.74 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 273.38/273.74 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 273.38/273.74 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 273.38/273.74 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 273.38/273.74 Found (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1)) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))
% 273.38/273.74 Found ((or_ind20 ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 274.85/275.14 Found (((or_ind2 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 274.85/275.14 Found ((((fun (P:Prop) (x5:((((rel_d W) V2)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V2)->P))=> ((((((or_ind (((rel_d W) V2)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V2)) P) x5) x6) x4)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V2))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 274.85/275.14 Found ((((fun (P:Prop) (x5:((((rel_d W) V1)->False)->P)) (x6:(((mnot (mbox_d (mdia_d (mbox_d p)))) V1)->P))=> ((((((or_ind (((rel_d W) V1)->False)) ((mnot (mbox_d (mdia_d (mbox_d p)))) V1)) P) x5) x6) (x V1))) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) ((or_introl (((rel_d W) V1)->False)) ((mdia_d (mbox_d p)) V1))) (fun (x5:((mnot (mbox_d (mdia_d (mbox_d p)))) V1))=> (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 274.85/275.14 Found x10:False
% 274.85/275.14 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of False
% 274.85/275.14 Found (fun (x2:(((rel_d V) V00)->False))=> x10) as proof of ((((rel_d V) V00)->False)->False)
% 274.85/275.14 Found x10:False
% 274.85/275.14 Found (fun (x2:(p V00))=> x10) as proof of False
% 274.85/275.14 Found (fun (x2:(p V00))=> x10) as proof of ((p V00)->False)
% 274.85/275.14 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 274.85/275.14 Found x3:(((rel_d W) V0)->False)
% 274.85/275.14 Instantiate: V0:=V00:fofType;V:=W:fofType
% 274.85/275.14 Found x3 as proof of (((rel_d V) V00)->False)
% 274.85/275.14 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 274.85/275.14 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 274.85/275.14 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found x30:False
% 285.36/285.70 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 285.36/285.70 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 285.36/285.70 Found x4:((rel_d V) V0)
% 285.36/285.70 Instantiate: V2:=V0:fofType
% 285.36/285.70 Found x4 as proof of ((rel_d W) V2)
% 285.36/285.70 Found (x6 x4) as proof of False
% 285.36/285.70 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of False
% 285.36/285.70 Found (fun (x6:(((rel_d W) V2)->False))=> (x6 x4)) as proof of ((((rel_d W) V2)->False)->False)
% 285.36/285.70 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found False_rect00:=(False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))):((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found (False_rect0 ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 285.36/285.70 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 285.36/285.70 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V)
% 285.36/285.70 Found False_rect00:=(False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))):((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 285.36/285.70 Found (False_rect0 ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 285.36/285.70 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 285.36/285.70 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 285.36/285.70 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of (forall (V:fofType), ((or (((rel_d V0) V)->False)) ((mdia_d (mbox_d p)) V)))
% 288.59/288.95 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)))) as proof of ((mbox_d (mdia_d (mbox_d p))) V0)
% 288.59/288.95 Found x3:(((rel_d W) V0)->False)
% 288.59/288.95 Instantiate: V0:=V00:fofType;V:=W:fofType
% 288.59/288.95 Found x3 as proof of (((rel_d V) V00)->False)
% 288.59/288.95 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found x30:False
% 288.59/288.95 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 288.59/288.95 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 288.59/288.95 Found (or_intror00 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found ((or_intror0 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 288.59/288.95 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found (or_introl0 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 288.59/288.95 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 288.59/288.95 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 288.59/288.95 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found x3:(((rel_d W) V0)->False)
% 291.62/291.94 Instantiate: V0:=V00:fofType;V:=W:fofType
% 291.62/291.94 Found x3 as proof of (((rel_d V) V00)->False)
% 291.62/291.94 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 291.62/291.94 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 291.62/291.94 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 291.62/291.94 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 291.62/291.94 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d W) V3)->False)->((or (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d W) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 291.62/291.94 Found x1:(((rel_d W) V)->False)
% 291.62/291.94 Instantiate: V0:=W:fofType;V:=V1:fofType
% 291.62/291.94 Found x1 as proof of (((rel_d V0) V1)->False)
% 291.62/291.94 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 291.62/291.94 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 291.62/291.94 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 291.62/291.94 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 291.62/291.94 Found or_introl00:=(or_introl0 ((mdia_d (mbox_d p)) V0)):((((rel_d W) V2)->False)->((or (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found (or_introl0 ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found ((or_introl (((rel_d W) V2)->False)) ((mdia_d (mbox_d p)) V0)) as proof of ((((rel_d W) V2)->False)->((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 291.62/291.94 Found x10:False
% 291.62/291.94 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of False
% 291.62/291.94 Found (fun (x3:(((rel_d W) V0)->False))=> x10) as proof of ((((rel_d W) V0)->False)->False)
% 299.18/299.51 Found x10:False
% 299.18/299.51 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of False
% 299.18/299.51 Found (fun (x3:((mnot (mbox_d (mdia_d (mbox_d p)))) V0))=> x10) as proof of (((mnot (mbox_d (mdia_d (mbox_d p)))) V0)->False)
% 299.18/299.51 Found x50:False
% 299.18/299.51 Found (fun (x6:((mbox_d (mnot (mbox_d p))) V0))=> x50) as proof of False
% 299.18/299.51 Found (fun (x6:((mbox_d (mnot (mbox_d p))) V0))=> x50) as proof of ((mdia_d (mbox_d p)) V0)
% 299.18/299.51 Found x30:False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 299.18/299.51 Found x10:False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V1))=> x10) as proof of ((mdia_d (mbox_d p)) V1)
% 299.18/299.51 Found x30:False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of False
% 299.18/299.51 Found (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30) as proof of ((mdia_d (mbox_d p)) V00)
% 299.18/299.51 Found (or_intror00 (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found ((or_intror0 ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30)) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found (fun (V00:fofType)=> (((or_intror (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) (fun (x4:((mbox_d (mnot (mbox_d p))) V00))=> x30))) as proof of (forall (V0:fofType), ((or (((rel_d V) V0)->False)) ((mdia_d (mbox_d p)) V0)))
% 299.18/299.51 Found x50:False
% 299.18/299.51 Found (fun (x6:((mbox_d (mnot (mbox_d p))) V0))=> x50) as proof of False
% 299.18/299.51 Found (fun (x6:((mbox_d (mnot (mbox_d p))) V0))=> x50) as proof of ((mdia_d (mbox_d p)) V0)
% 299.18/299.51 Found x3:(((rel_d W) V0)->False)
% 299.18/299.51 Instantiate: V0:=V00:fofType;V:=W:fofType
% 299.18/299.51 Found x3 as proof of (((rel_d V) V00)->False)
% 299.18/299.51 Found (or_introl10 x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found ((or_introl1 ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found (((or_introl (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00)) x3) as proof of ((or (((rel_d V) V00)->False)) ((mdia_d (mbox_d p)) V00))
% 299.18/299.51 Found x1:(((rel_d W) V)->False)
% 299.18/299.51 Instantiate: V0:=W:fofType;V:=V1:fofType
% 299.18/299.51 Found x1 as proof of (((rel_d V0) V1)->False)
% 299.18/299.51 Found (or_introl10 x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 299.18/299.51 Found ((or_introl1 ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 299.18/299.51 Found (((or_introl (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1)) x1) as proof of ((or (((rel_d V0) V1)->False)) ((mdia_d (mbox_d p)) V1))
% 299.18/299.51 Found or_introl10:=(or_introl1 ((mdia_d (mbox_d p)) V2)):((((rel_d V0) V3)->False)->((or (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)))
% 299.18/299.51 Found (or_introl1 ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 299.18/299.51 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 299.18/299.51 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 299.18/299.51 Found ((or_introl (((rel_d V0) V3)->False)) ((mdia_d (mbox_d p)) V2)) as proof of ((((rel_d V0) V3)->False)->((or (((rel_d V1) V2)->False)) ((mdia_d (mbox_d p)) V2)))
% 299.18/299.51 Found x2:((rel_d V) V0)
% 299.18/299.51 Instantiate: V1:=V0:fofType;V:=W:fofType
% 299.18/299.51 Found x2 as proof of ((rel_d W) V1)
% 299.18/299.51 Found (x4 x2) as proof of False
% 299.18/299.51 Found (fun (x4:(((rel_d W) V1)->False))=> (x4 x2)) as
%------------------------------------------------------------------------------