TSTP Solution File: SYO456^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO456^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:34 EDT 2022
% Result : Timeout 290.32s 290.65s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO456^1 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 20:42:04 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.38/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661b00>, <kernel.Type object at 0x2af7f3661a28>) of role type named mu_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mu:Type
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661bd8>, <kernel.DependentProduct object at 0x2af7f3661b00>) of role type named meq_ind_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.38/0.61 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.61 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661b00>, <kernel.DependentProduct object at 0x2af7f3661ab8>) of role type named meq_prop_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.38/0.61 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661b48>, <kernel.DependentProduct object at 0x2af7f3661bd8>) of role type named mnot_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.61 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661bd8>, <kernel.DependentProduct object at 0x2af7f3661320>) of role type named mor_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.38/0.61 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f3661320>, <kernel.DependentProduct object at 0x2af7f36615a8>) of role type named mand_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.61 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x2af7f36615a8>, <kernel.DependentProduct object at 0x2af7f36613b0>) of role type named mimplies_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f36613b0>, <kernel.DependentProduct object at 0x2af7f36617e8>) of role type named mimplied_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.38/0.62 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f36617e8>, <kernel.DependentProduct object at 0x2af7f3661bd8>) of role type named mequiv_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.38/0.62 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f3661bd8>, <kernel.DependentProduct object at 0x2af7f3661320>) of role type named mxor_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.38/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.38/0.62 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f3661b00>, <kernel.DependentProduct object at 0x2af7f36617e8>) of role type named mforall_ind_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.38/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.38/0.62 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f36617e8>, <kernel.DependentProduct object at 0x2af7f3661a28>) of role type named mforall_prop_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.38/0.62 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.38/0.62 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x2af7f3661a28>, <kernel.DependentProduct object at 0x2af7f3661290>) of role type named mexists_ind_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.48/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.48/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2af7f3661290>, <kernel.DependentProduct object at 0x2af7f36611b8>) of role type named mexists_prop_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.48/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.48/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.48/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x21bee18>, <kernel.DependentProduct object at 0x2af7f3661200>) of role type named mtrue_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mtrue:(fofType->Prop)
% 0.48/0.63 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.48/0.63 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.48/0.63 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x21bee18>, <kernel.DependentProduct object at 0x2af7f3661b00>) of role type named mfalse_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mfalse:(fofType->Prop)
% 0.48/0.63 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.48/0.63 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.48/0.63 Defined: mfalse:=(mnot mtrue)
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2af7f3661290>, <kernel.DependentProduct object at 0x2af7f3661b00>) of role type named mbox_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.48/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.48/0.63 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2af7fb139a28>, <kernel.DependentProduct object at 0x2af7fb139488>) of role type named mdia_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.48/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.48/0.63 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2af7fb139ea8>, <kernel.DependentProduct object at 0x2af7fb139f38>) of role type named mreflexive_type
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.48/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.48/0.63 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7fb139638>, <kernel.DependentProduct object at 0x2af7f36611b8>) of role type named msymmetric_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.48/0.64 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7fb139cf8>, <kernel.DependentProduct object at 0x2af7f36617a0>) of role type named mserial_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.48/0.64 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7fb139cf8>, <kernel.DependentProduct object at 0x2af7f36610e0>) of role type named mtransitive_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.48/0.64 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7fb139ea8>, <kernel.DependentProduct object at 0x2af7f3661290>) of role type named meuclidean_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.48/0.64 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7f3661200>, <kernel.DependentProduct object at 0x2af7f3661290>) of role type named mpartially_functional_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.48/0.64 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2af7f36613b0>, <kernel.DependentProduct object at 0x1f205f0>) of role type named mfunctional_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.48/0.65 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2af7f3661908>, <kernel.DependentProduct object at 0x1f20a70>) of role type named mweakly_dense_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.48/0.65 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2af7f3661908>, <kernel.DependentProduct object at 0x1f205f0>) of role type named mweakly_connected_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.48/0.65 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2af7f3661908>, <kernel.DependentProduct object at 0x1f20ea8>) of role type named mweakly_directed_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.48/0.65 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x1f20638>, <kernel.DependentProduct object at 0x1f20fc8>) of role type named mvalid_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.65 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x1f20680>, <kernel.DependentProduct object at 0x2af7f3666200>) of role type named minvalid_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.66 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x1f20680>, <kernel.DependentProduct object at 0x2af7f3666560>) of role type named msatisfiable_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.66 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2af7f36663f8>, <kernel.DependentProduct object at 0x2af7f3666638>) of role type named mcountersatisfiable_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.66 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.66 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2af7fb139128>, <kernel.DependentProduct object at 0x2af7f3661fc8>) of role type named rel_k_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring rel_k:(fofType->(fofType->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2af7fb139050>, <kernel.DependentProduct object at 0x2af7f3661fc8>) of role type named mbox_k_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.48/0.66 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2af7fb139050>, <kernel.DependentProduct object at 0x2af7f3661f80>) of role type named mdia_k_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.48/0.66 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x1f1d908>, <kernel.DependentProduct object at 0x1f1d488>) of role type named p_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring p:(fofType->Prop)
% 0.48/0.66 FOF formula (mvalid ((mimplies (mdia_k (mbox_k (mdia_k (mbox_k p))))) (mdia_k (mbox_k p)))) of role conjecture named prove
% 0.48/0.66 Conjecture to prove = (mvalid ((mimplies (mdia_k (mbox_k (mdia_k (mbox_k p))))) (mdia_k (mbox_k p)))):Prop
% 0.48/0.66 Parameter mu_DUMMY:mu.
% 0.48/0.66 Parameter fofType_DUMMY:fofType.
% 0.48/0.66 We need to prove ['(mvalid ((mimplies (mdia_k (mbox_k (mdia_k (mbox_k p))))) (mdia_k (mbox_k p))))']
% 0.48/0.66 Parameter mu:Type.
% 0.48/0.66 Parameter fofType:Type.
% 0.48/0.66 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.66 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.66 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.66 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.66 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.66 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))).
% 0.48/0.66 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.66 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.66 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).
% 0.48/0.66 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).
% 0.48/0.66 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).
% 0.48/0.66 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).
% 0.48/0.66 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).
% 0.48/0.66 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).
% 10.05/10.26 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).
% 10.05/10.26 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 10.05/10.26 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 10.05/10.26 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 10.05/10.26 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 10.05/10.26 Parameter rel_k:(fofType->(fofType->Prop)).
% 10.05/10.26 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 10.05/10.26 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 10.05/10.26 Parameter p:(fofType->Prop).
% 10.05/10.26 Trying to prove (mvalid ((mimplies (mdia_k (mbox_k (mdia_k (mbox_k p))))) (mdia_k (mbox_k p))))
% 10.05/10.26 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 10.05/10.26 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 10.05/10.26 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 10.05/10.26 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found x10:False
% 10.05/10.26 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 10.05/10.26 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 10.05/10.26 Found x10:False
% 10.05/10.26 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 10.05/10.26 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 10.05/10.26 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 10.05/10.26 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 10.05/10.26 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 25.21/25.39 Found x10:False
% 25.21/25.39 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 25.21/25.39 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 25.21/25.39 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 25.21/25.39 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 25.21/25.39 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 25.21/25.39 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 25.21/25.39 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 25.21/25.39 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 32.93/33.12 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 32.93/33.12 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 32.93/33.12 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 32.93/33.12 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 32.93/33.12 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 32.93/33.12 Found x10:False
% 32.93/33.12 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 32.93/33.12 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 32.93/33.12 Found x10:False
% 32.93/33.12 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 32.93/33.12 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 40.28/40.45 Found x10:False
% 40.28/40.45 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 40.28/40.45 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 40.28/40.45 Found x10:False
% 40.28/40.45 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 40.28/40.45 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 40.28/40.45 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 40.28/40.45 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 40.28/40.45 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 40.28/40.45 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 40.28/40.45 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 40.28/40.45 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 40.28/40.45 Found x3:(((rel_k W) V0)->False)
% 40.28/40.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 40.28/40.45 Found x3 as proof of (((rel_k V) V00)->False)
% 40.28/40.45 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 40.28/40.45 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 40.28/40.45 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found x3:(((rel_k W) V0)->False)
% 40.28/40.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 40.28/40.45 Found x3 as proof of (((rel_k V) V00)->False)
% 40.28/40.45 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 40.28/40.45 Found x1:(((rel_k W) V)->False)
% 40.28/40.45 Instantiate: V0:=W:fofType;V:=V1:fofType
% 40.28/40.45 Found x1 as proof of (((rel_k V0) V1)->False)
% 40.28/40.45 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 40.28/40.45 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 40.28/40.45 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 40.28/40.45 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 40.28/40.45 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 40.28/40.45 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 44.76/44.94 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 44.76/44.94 Found x2:((rel_k V) V0)
% 44.76/44.94 Instantiate: V1:=V0:fofType;V:=W:fofType
% 44.76/44.94 Found x2 as proof of ((rel_k W) V1)
% 44.76/44.94 Found (x4 x2) as proof of False
% 44.76/44.94 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 44.76/44.94 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 44.76/44.94 Found x10:False
% 44.76/44.94 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 44.76/44.94 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 44.76/44.94 Found x10:False
% 44.76/44.94 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 44.76/44.94 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 44.76/44.94 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 44.76/44.94 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 44.76/44.94 Found or_intror10:=(or_intror1 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 44.76/44.94 Found (or_intror1 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 44.76/44.94 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 44.76/44.94 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 44.76/44.94 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 44.76/44.94 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 44.76/44.94 Found x10:False
% 44.76/44.94 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 44.76/44.94 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 56.11/56.30 Found x10:False
% 56.11/56.30 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 56.11/56.30 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 56.11/56.30 Found x3:(((rel_k S) V0)->False)
% 56.11/56.30 Instantiate: V0:=V00:fofType;V:=S:fofType
% 56.11/56.30 Found x3 as proof of (((rel_k V) V00)->False)
% 56.11/56.30 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found x10:False
% 56.11/56.30 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 56.11/56.30 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 56.11/56.30 Found x10:False
% 56.11/56.30 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 56.11/56.30 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 56.11/56.30 Found x10:False
% 56.11/56.30 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 56.11/56.30 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 56.11/56.30 Found x10:False
% 56.11/56.30 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 56.11/56.30 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 56.11/56.30 Found x3:(((rel_k S) V0)->False)
% 56.11/56.30 Instantiate: V0:=V00:fofType;V:=S:fofType
% 56.11/56.30 Found x3 as proof of (((rel_k V) V00)->False)
% 56.11/56.30 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found x1:(((rel_k S) V)->False)
% 56.11/56.30 Instantiate: V0:=S:fofType;V:=V1:fofType
% 56.11/56.30 Found x1 as proof of (((rel_k V0) V1)->False)
% 56.11/56.30 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 56.11/56.30 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 56.11/56.30 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 56.11/56.30 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 56.11/56.30 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 56.11/56.30 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 56.11/56.30 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 56.11/56.30 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 56.11/56.30 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 56.11/56.30 Found x3:(((rel_k W) V0)->False)
% 56.11/56.30 Instantiate: V0:=V00:fofType;V:=W:fofType
% 56.11/56.30 Found x3 as proof of (((rel_k V) V00)->False)
% 56.11/56.30 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 56.11/56.30 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 56.11/56.30 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 56.11/56.30 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 56.11/56.30 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 56.11/56.30 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 56.11/56.30 Found x2:((rel_k V) V0)
% 56.11/56.30 Instantiate: V1:=V0:fofType;V:=S:fofType
% 56.11/56.30 Found x2 as proof of ((rel_k S) V1)
% 56.11/56.30 Found (x4 x2) as proof of False
% 56.11/56.30 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 56.11/56.30 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 64.87/65.05 Found x3:(((rel_k W) V0)->False)
% 64.87/65.05 Instantiate: V0:=V00:fofType;V:=W:fofType
% 64.87/65.05 Found x3 as proof of (((rel_k V) V00)->False)
% 64.87/65.05 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 64.87/65.05 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 64.87/65.05 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 64.87/65.05 Found x1:(((rel_k W) V)->False)
% 64.87/65.05 Instantiate: V0:=W:fofType;V:=V1:fofType
% 64.87/65.05 Found x1 as proof of (((rel_k V0) V1)->False)
% 64.87/65.05 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 64.87/65.05 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 64.87/65.05 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 64.87/65.05 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 64.87/65.05 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 64.87/65.05 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 64.87/65.05 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 64.87/65.05 Found x10:False
% 64.87/65.05 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 64.87/65.05 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 64.87/65.05 Found x10:False
% 64.87/65.05 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 64.87/65.05 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 64.87/65.05 Found or_introl20:=(or_introl2 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 64.87/65.05 Found (or_introl2 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 64.87/65.05 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found x2:((rel_k V) V0)
% 67.54/67.72 Instantiate: V1:=V0:fofType;V:=W:fofType
% 67.54/67.72 Found x2 as proof of ((rel_k W) V1)
% 67.54/67.72 Found (x4 x2) as proof of False
% 67.54/67.72 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 67.54/67.72 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 67.54/67.72 Found or_introl00:=(or_introl0 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found (or_introl0 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 67.54/67.72 Found x10:False
% 67.54/67.72 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 67.54/67.72 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 67.54/67.72 Found x10:False
% 67.54/67.72 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 67.54/67.72 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 67.54/67.72 Found x3:(((rel_k W) V0)->False)
% 67.54/67.72 Instantiate: V0:=V00:fofType;V:=W:fofType
% 67.54/67.72 Found x3 as proof of (((rel_k V) V00)->False)
% 67.54/67.72 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 67.54/67.72 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 67.54/67.72 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 67.54/67.72 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 67.54/67.72 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 67.54/67.72 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 67.54/67.72 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 67.54/67.72 Found or_intror00:=(or_intror0 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 67.54/67.72 Found (or_intror0 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 67.54/67.72 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 67.54/67.72 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 72.64/72.85 Found x3:(((rel_k S) V0)->False)
% 72.64/72.85 Instantiate: V0:=V00:fofType;V:=S:fofType
% 72.64/72.85 Found x3 as proof of (((rel_k V) V00)->False)
% 72.64/72.85 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found x3:(((rel_k W) V0)->False)
% 72.64/72.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 72.64/72.85 Found x3 as proof of (((rel_k V) V00)->False)
% 72.64/72.85 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 72.64/72.85 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 72.64/72.85 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 72.64/72.85 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 72.64/72.85 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 72.64/72.85 Found x1:(((rel_k W) V)->False)
% 72.64/72.85 Instantiate: V0:=W:fofType;V:=V1:fofType
% 72.64/72.85 Found x1 as proof of (((rel_k V0) V1)->False)
% 72.64/72.85 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 72.64/72.85 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 72.64/72.85 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 72.64/72.85 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 72.64/72.85 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 72.64/72.85 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 72.64/72.85 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 72.64/72.85 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 72.64/72.85 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 72.64/72.85 Found x2:((rel_k V) V0)
% 72.64/72.85 Instantiate: V1:=V0:fofType;V:=W:fofType
% 72.64/72.85 Found x2 as proof of ((rel_k W) V1)
% 72.64/72.85 Found (x4 x2) as proof of False
% 72.64/72.85 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 72.64/72.85 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 72.64/72.85 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 72.64/72.85 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 72.64/72.85 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 77.22/77.41 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found x3:(((rel_k S) V0)->False)
% 77.22/77.41 Instantiate: V0:=V00:fofType;V:=S:fofType
% 77.22/77.41 Found x3 as proof of (((rel_k V) V00)->False)
% 77.22/77.41 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 77.22/77.41 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 77.22/77.41 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 77.22/77.41 Found x1:(((rel_k S) V)->False)
% 77.22/77.41 Instantiate: V0:=S:fofType;V:=V1:fofType
% 77.22/77.41 Found x1 as proof of (((rel_k V0) V1)->False)
% 77.22/77.41 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 77.22/77.41 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 77.22/77.41 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 77.22/77.41 Found x10:False
% 77.22/77.41 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 77.22/77.41 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 77.22/77.41 Found x10:False
% 77.22/77.41 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 77.22/77.41 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 77.22/77.41 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 77.22/77.41 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 77.22/77.41 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 77.22/77.41 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 77.22/77.41 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 77.22/77.41 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 77.22/77.41 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 77.22/77.41 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 77.22/77.41 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 77.22/77.41 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 77.22/77.41 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 87.43/87.64 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 87.43/87.64 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 87.43/87.64 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 87.43/87.64 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 87.43/87.64 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found x2:((rel_k V) V0)
% 87.43/87.64 Instantiate: V1:=V0:fofType;V:=S:fofType
% 87.43/87.64 Found x2 as proof of ((rel_k S) V1)
% 87.43/87.64 Found (x4 x2) as proof of False
% 87.43/87.64 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 87.43/87.64 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 87.43/87.64 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 87.43/87.64 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 87.43/87.64 Found x3:(((rel_k S) V0)->False)
% 87.43/87.64 Instantiate: V0:=V00:fofType;V:=S:fofType
% 87.43/87.64 Found x3 as proof of (((rel_k V) V00)->False)
% 87.43/87.64 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 87.43/87.64 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 87.43/87.64 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 87.43/87.64 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 87.43/87.64 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 87.43/87.64 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 87.43/87.64 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 87.43/87.64 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 91.28/91.50 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found or_introl20:=(or_introl2 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found (or_introl2 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found (or_introl0 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 91.28/91.50 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 91.28/91.50 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 91.28/91.50 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 91.28/91.50 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 91.28/91.50 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 91.28/91.50 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 91.28/91.50 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 91.28/91.50 Found x3:(((rel_k S) V0)->False)
% 91.28/91.50 Instantiate: V0:=V00:fofType;V:=S:fofType
% 91.28/91.50 Found x3 as proof of (((rel_k V) V00)->False)
% 95.61/95.85 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 95.61/95.85 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 95.61/95.85 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 95.61/95.85 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 95.61/95.85 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found x1:(((rel_k S) V)->False)
% 95.61/95.85 Instantiate: V0:=S:fofType;V:=V1:fofType
% 95.61/95.85 Found x1 as proof of (((rel_k V0) V1)->False)
% 95.61/95.85 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 95.61/95.85 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 95.61/95.85 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 95.61/95.85 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 95.61/95.85 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 95.61/95.85 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 95.61/95.85 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 95.61/95.85 Found x4:((rel_k V) V0)
% 95.61/95.85 Instantiate: V2:=V0:fofType;V:=W:fofType
% 95.61/95.85 Found x4 as proof of ((rel_k W) V2)
% 95.61/95.85 Found (x6 x4) as proof of False
% 95.61/95.85 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 95.61/95.85 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 95.61/95.85 Found x2:((rel_k V) V0)
% 95.61/95.85 Instantiate: V1:=V0:fofType;V:=S:fofType
% 95.61/95.85 Found x2 as proof of ((rel_k S) V1)
% 95.61/95.85 Found (x4 x2) as proof of False
% 95.61/95.85 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 95.61/95.85 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 95.61/95.85 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 95.61/95.85 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 95.61/95.85 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 95.61/95.85 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 95.61/95.85 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 95.61/95.85 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 95.61/95.85 Found x3:(((rel_k W) V0)->False)
% 95.61/95.85 Instantiate: V0:=V00:fofType;V:=W:fofType
% 95.61/95.85 Found x3 as proof of (((rel_k V) V00)->False)
% 95.61/95.85 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 95.61/95.85 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 95.61/95.85 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.90 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.90 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.90 Found x4:((rel_k V) V0)
% 99.68/99.90 Instantiate: V2:=V0:fofType
% 99.68/99.91 Found x4 as proof of ((rel_k W) V2)
% 99.68/99.91 Found (x6 x4) as proof of False
% 99.68/99.91 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 99.68/99.91 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 99.68/99.91 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 99.68/99.91 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 99.68/99.91 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 99.68/99.91 Found x3:(((rel_k W) V0)->False)
% 99.68/99.91 Instantiate: V0:=V00:fofType;V:=W:fofType
% 99.68/99.91 Found x3 as proof of (((rel_k V) V00)->False)
% 99.68/99.91 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 99.68/99.91 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 99.68/99.91 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 99.68/99.91 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 99.68/99.91 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.91 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.91 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 99.68/99.91 Found or_intror10:=(or_intror1 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 99.68/99.91 Found (or_intror1 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 99.68/99.91 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 99.68/99.91 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 100.67/100.87 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 100.67/100.87 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 100.67/100.87 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 100.67/100.87 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 100.67/100.87 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 100.67/100.87 Found x10:False
% 100.67/100.87 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of False
% 100.67/100.87 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of (((mdia_k ((mbox rel_k) p)) V00)->False)
% 100.67/100.87 Found x10:False
% 100.67/100.87 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 100.67/100.87 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 100.67/100.87 Found x3:(((rel_k W) V0)->False)
% 100.67/100.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 100.67/100.87 Found x3 as proof of (((rel_k V) V00)->False)
% 100.67/100.87 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 100.67/100.87 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 100.67/100.87 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 102.27/102.53 Found x1:(((rel_k W) V)->False)
% 102.27/102.53 Instantiate: V0:=W:fofType;V:=V1:fofType
% 102.27/102.53 Found x1 as proof of (((rel_k V0) V1)->False)
% 102.27/102.53 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_k p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mnot (mbox_k p)) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mnot (mbox_k p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 102.27/102.53 Found or_introl00:=(or_introl0 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 102.27/102.53 Found (or_introl0 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 102.27/102.53 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 102.27/102.53 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found or_introl00:=(or_introl0 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 102.27/102.53 Found (or_introl0 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 102.27/102.53 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 105.27/105.46 Found or_introl00:=(or_introl0 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 105.27/105.46 Found (or_introl0 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 105.27/105.46 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 105.27/105.46 Found x3:(((rel_k W) V0)->False)
% 105.27/105.46 Instantiate: V0:=V00:fofType;V:=W:fofType
% 105.27/105.46 Found x3 as proof of (((rel_k V) V00)->False)
% 105.27/105.46 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 105.27/105.46 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 105.27/105.46 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 105.27/105.46 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 105.27/105.46 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found x1:(((rel_k W) V)->False)
% 105.27/105.46 Instantiate: V0:=W:fofType;V:=V1:fofType
% 105.27/105.46 Found x1 as proof of (((rel_k V0) V1)->False)
% 105.27/105.46 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 105.27/105.46 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 105.27/105.46 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 105.27/105.46 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 105.27/105.46 Found (or_comm_i10 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 105.27/105.46 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 105.27/105.46 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 105.27/105.46 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 105.27/105.46 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 105.27/105.46 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 105.27/105.46 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 105.27/105.46 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 105.27/105.46 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 111.25/111.46 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 111.25/111.46 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 111.25/111.46 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((mbox_k p) V0)
% 111.25/111.46 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 111.25/111.46 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.25/111.46 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.25/111.46 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.25/111.46 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.25/111.46 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 111.25/111.46 Found x3:(((rel_k W) V0)->False)
% 111.25/111.46 Instantiate: V0:=V00:fofType;V:=W:fofType
% 111.25/111.46 Found x3 as proof of (((rel_k V) V00)->False)
% 111.25/111.46 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 111.25/111.46 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 111.25/111.46 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 111.25/111.46 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 111.25/111.46 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 111.25/111.46 Found x2:((rel_k V) V0)
% 111.25/111.46 Instantiate: V1:=V0:fofType;V:=W:fofType
% 111.25/111.46 Found x2 as proof of ((rel_k W) V1)
% 111.25/111.46 Found (x4 x2) as proof of False
% 111.25/111.46 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 111.25/111.46 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 111.25/111.46 Found x10:False
% 111.25/111.46 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 111.25/111.46 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 111.25/111.46 Found x10:False
% 111.25/111.46 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 111.25/111.46 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 111.25/111.46 Found x10:False
% 111.25/111.46 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 111.25/111.46 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 111.25/111.46 Found x10:False
% 111.25/111.46 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 111.25/111.46 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 111.25/111.46 Found x3:(((rel_k W) V0)->False)
% 111.25/111.46 Instantiate: V0:=V00:fofType;V:=W:fofType
% 111.25/111.46 Found x3 as proof of (((rel_k V) V00)->False)
% 111.25/111.46 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 111.25/111.46 Found or_introl10:=(or_introl1 (p V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) (p V2)))
% 111.25/111.46 Found (or_introl1 (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 111.25/111.46 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 113.97/114.21 Found x3:(((rel_k W) V0)->False)
% 113.97/114.21 Instantiate: V0:=V00:fofType;V:=W:fofType
% 113.97/114.21 Found x3 as proof of (((rel_k V) V00)->False)
% 113.97/114.21 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 113.97/114.21 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 113.97/114.21 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 113.97/114.21 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 113.97/114.21 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 113.97/114.21 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found x1:(((rel_k W) V)->False)
% 113.97/114.21 Instantiate: V0:=W:fofType;V:=V1:fofType
% 113.97/114.21 Found x1 as proof of (((rel_k V0) V1)->False)
% 113.97/114.21 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 113.97/114.21 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 113.97/114.21 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 113.97/114.21 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 113.97/114.21 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 113.97/114.21 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 113.97/114.21 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 113.97/114.21 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 113.97/114.21 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 113.97/114.21 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 119.40/119.61 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 119.40/119.61 Found x30:False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 119.40/119.61 Found x30:False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 119.40/119.61 Found x10:False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 119.40/119.61 Found x10:False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 119.40/119.61 Found x3:(((rel_k W) V0)->False)
% 119.40/119.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 119.40/119.61 Found x3 as proof of (((rel_k V) V00)->False)
% 119.40/119.61 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 119.40/119.61 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 119.40/119.61 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 119.40/119.61 Found x30:False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 119.40/119.61 Found x30:False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 119.40/119.61 Found x10:False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 119.40/119.61 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 119.40/119.61 Found x10:False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 119.40/119.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 119.40/119.61 Found x1:(((rel_k W) V)->False)
% 119.40/119.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 119.40/119.61 Found x1 as proof of (((rel_k V0) V1)->False)
% 119.40/119.61 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.40/119.61 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.40/119.61 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 119.40/119.61 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 119.40/119.61 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.40/119.61 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.40/119.61 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.40/119.61 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.40/119.61 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 119.40/119.61 Found or_intror00:=(or_intror0 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 119.40/119.61 Found (or_intror0 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 119.40/119.61 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 119.40/119.61 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 119.40/119.61 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 119.40/119.61 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 119.40/119.61 Found or_introl10:=(or_introl1 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 119.40/119.61 Found (or_introl1 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 119.40/119.61 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 125.46/125.72 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found or_introl10:=(or_introl1 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 125.46/125.72 Found (or_introl1 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 125.46/125.72 Found or_introl10:=(or_introl1 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 125.46/125.72 Found (or_introl1 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 125.46/125.72 Found x4:((rel_k V) V0)
% 125.46/125.72 Instantiate: V2:=V0:fofType;V:=S:fofType
% 125.46/125.72 Found x4 as proof of ((rel_k S) V2)
% 125.46/125.72 Found (x6 x4) as proof of False
% 125.46/125.72 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 125.46/125.72 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 125.46/125.72 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 125.46/125.72 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 125.46/125.72 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 125.46/125.72 Found x3:(((rel_k S) V0)->False)
% 125.46/125.72 Instantiate: V0:=V00:fofType;V:=S:fofType
% 125.46/125.72 Found x3 as proof of (((rel_k V) V00)->False)
% 125.46/125.72 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 125.46/125.72 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 125.46/125.72 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 128.43/128.64 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V0)))
% 128.43/128.64 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 128.43/128.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 128.43/128.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 128.43/128.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 128.43/128.64 Found ((or_introl (((rel_k W) V1)->False)) (p V0)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 128.43/128.64 Found x4:((rel_k V) V0)
% 128.43/128.64 Instantiate: V2:=V0:fofType
% 128.43/128.64 Found x4 as proof of ((rel_k S) V2)
% 128.43/128.64 Found (x6 x4) as proof of False
% 128.43/128.64 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 128.43/128.64 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 128.43/128.64 Found x3:(((rel_k S) V0)->False)
% 128.43/128.64 Instantiate: V0:=V00:fofType;V:=S:fofType
% 128.43/128.64 Found x3 as proof of (((rel_k V) V00)->False)
% 128.43/128.64 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 128.43/128.64 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 128.43/128.64 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 128.43/128.64 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 128.43/128.64 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 128.43/128.64 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 130.69/130.93 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 130.69/130.93 Found x3:(((rel_k S) V0)->False)
% 130.69/130.93 Instantiate: V0:=V00:fofType;V:=S:fofType
% 130.69/130.93 Found x3 as proof of (((rel_k V) V00)->False)
% 130.69/130.93 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 130.69/130.93 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 130.69/130.93 Found x1:(((rel_k S) V)->False)
% 130.69/130.93 Instantiate: V0:=S:fofType;V:=V1:fofType
% 130.69/130.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 130.69/130.93 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot ((mbox rel_k) p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 130.69/130.93 Found ((or_ind20 ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found ((((fun (P:Prop) (x5:((((rel_k S) V2)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V2)->P))=> ((((((or_ind (((rel_k S) V2)->False)) ((mnot ((mbox rel_k) p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 130.69/130.93 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V1)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 133.39/133.63 Found x10:False
% 133.39/133.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 133.39/133.63 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 133.39/133.63 Found x10:False
% 133.39/133.63 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 133.39/133.63 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 133.39/133.63 Found x3:(((rel_k S) V0)->False)
% 133.39/133.63 Instantiate: V0:=V00:fofType;V:=S:fofType
% 133.39/133.63 Found x3 as proof of (((rel_k V) V00)->False)
% 133.39/133.63 Found (or_intror00 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 133.39/133.63 Found ((or_intror0 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 133.39/133.63 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 133.39/133.63 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 133.39/133.63 Found (or_comm_i10 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found ((or_comm_i1 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found x1:(((rel_k S) V)->False)
% 133.39/133.63 Instantiate: V0:=S:fofType;V:=V1:fofType
% 133.39/133.63 Found x1 as proof of (((rel_k V0) V1)->False)
% 133.39/133.63 Found (or_intror00 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 133.39/133.63 Found ((or_intror0 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 133.39/133.63 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 133.39/133.63 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 133.39/133.63 Found (or_comm_i10 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 133.39/133.63 Found ((or_comm_i1 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 133.39/133.63 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 133.39/133.63 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 133.39/133.63 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 133.39/133.63 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 138.92/139.15 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 138.92/139.15 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 138.92/139.15 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 138.92/139.15 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 138.92/139.15 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 138.92/139.15 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 138.92/139.15 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (((mbox rel_k) p) V0)
% 138.92/139.15 Found x3:(((rel_k S) V0)->False)
% 138.92/139.15 Instantiate: V0:=V00:fofType;V:=S:fofType
% 138.92/139.15 Found x3 as proof of (((rel_k V) V00)->False)
% 138.92/139.15 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 138.92/139.15 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 138.92/139.15 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 138.92/139.15 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 138.92/139.15 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 138.92/139.15 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found or_intror10:=(or_intror1 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 138.92/139.15 Found (or_intror1 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found x2:((rel_k V) V0)
% 138.92/139.15 Instantiate: V1:=V0:fofType;V:=S:fofType
% 138.92/139.15 Found x2 as proof of ((rel_k S) V1)
% 138.92/139.15 Found (x4 x2) as proof of False
% 138.92/139.15 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 138.92/139.15 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 138.92/139.15 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 138.92/139.15 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 138.92/139.15 Found x3:(((rel_k S) V0)->False)
% 138.92/139.15 Instantiate: V0:=V00:fofType;V:=S:fofType
% 146.32/146.54 Found x3 as proof of (((rel_k V) V00)->False)
% 146.32/146.54 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found x3:(((rel_k S) V0)->False)
% 146.32/146.54 Instantiate: V0:=V00:fofType;V:=S:fofType
% 146.32/146.54 Found x3 as proof of (((rel_k V) V00)->False)
% 146.32/146.54 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found x1:(((rel_k S) V)->False)
% 146.32/146.54 Instantiate: V0:=S:fofType;V:=V1:fofType
% 146.32/146.54 Found x1 as proof of (((rel_k V0) V1)->False)
% 146.32/146.54 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 146.32/146.54 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 146.32/146.54 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 146.32/146.54 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 146.32/146.54 Found x3:(((rel_k W) V0)->False)
% 146.32/146.54 Instantiate: V0:=V00:fofType;V:=W:fofType
% 146.32/146.54 Found x3 as proof of (((rel_k V) V00)->False)
% 146.32/146.54 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found x3:(((rel_k W) V0)->False)
% 146.32/146.54 Instantiate: V0:=V00:fofType;V:=W:fofType
% 146.32/146.54 Found x3 as proof of (((rel_k V) V00)->False)
% 146.32/146.54 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found x10:False
% 146.32/146.54 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of False
% 146.32/146.54 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of (((mdia_k ((mbox rel_k) p)) V00)->False)
% 146.32/146.54 Found x10:False
% 146.32/146.54 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 146.32/146.54 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 146.32/146.54 Found x10:False
% 146.32/146.54 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of False
% 146.32/146.54 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of (((mdia_k ((mbox rel_k) p)) V00)->False)
% 146.32/146.54 Found x10:False
% 146.32/146.54 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 146.32/146.54 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 146.32/146.54 Found or_introl10:=(or_introl1 (p V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) (p V2)))
% 146.32/146.54 Found (or_introl1 (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 146.32/146.54 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 146.32/146.54 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 146.32/146.54 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 146.32/146.54 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 146.32/146.54 Found x4:((rel_k V) V0)
% 146.32/146.54 Instantiate: V2:=V0:fofType;V:=W:fofType
% 146.32/146.54 Found x4 as proof of ((rel_k W) V2)
% 146.32/146.54 Found (x6 x4) as proof of False
% 146.32/146.54 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 146.32/146.54 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 146.32/146.54 Found x3:(((rel_k W) V0)->False)
% 146.32/146.54 Instantiate: V0:=V00:fofType;V:=W:fofType
% 146.32/146.54 Found x3 as proof of (((rel_k V) V00)->False)
% 146.32/146.54 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 146.32/146.54 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found x3:(((rel_k S) V0)->False)
% 148.51/148.74 Instantiate: V0:=V00:fofType;V:=S:fofType
% 148.51/148.74 Found x3 as proof of (((rel_k V) V00)->False)
% 148.51/148.74 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found x1:(((rel_k S) V)->False)
% 148.51/148.74 Instantiate: V0:=S:fofType;V:=V1:fofType
% 148.51/148.74 Found x1 as proof of (((rel_k V0) V1)->False)
% 148.51/148.74 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 148.51/148.74 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 148.51/148.74 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 148.51/148.74 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 148.51/148.74 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 148.51/148.74 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 148.51/148.74 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 148.51/148.74 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 148.51/148.74 Found x30:False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 152.75/153.02 Found x30:False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 152.75/153.02 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 152.75/153.02 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 152.75/153.02 Found x10:False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 152.75/153.02 Found x10:False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 152.75/153.02 Found x3:(((rel_k W) V0)->False)
% 152.75/153.02 Instantiate: V0:=V00:fofType;V:=W:fofType
% 152.75/153.02 Found x3 as proof of (((rel_k V) V00)->False)
% 152.75/153.02 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 152.75/153.02 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 152.75/153.02 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 152.75/153.02 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 152.75/153.02 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.75/153.02 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 152.75/153.02 Found x1:(((rel_k W) V)->False)
% 152.75/153.02 Instantiate: V0:=W:fofType;V:=V1:fofType
% 152.75/153.02 Found x1 as proof of (((rel_k V0) V1)->False)
% 152.75/153.02 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.75/153.02 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.75/153.02 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 152.75/153.02 Found x10:False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 152.75/153.02 Found x10:False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 152.75/153.02 Found x30:False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 152.75/153.02 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 152.75/153.02 Found x30:False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 152.75/153.02 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 152.75/153.02 Found x4:((rel_k V) V0)
% 152.75/153.02 Instantiate: V2:=V0:fofType
% 152.75/153.02 Found x4 as proof of ((rel_k W) V2)
% 152.75/153.02 Found (x6 x4) as proof of False
% 152.75/153.02 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 152.75/153.02 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 152.75/153.02 Found x3:(((rel_k W) V0)->False)
% 152.75/153.02 Instantiate: V0:=V00:fofType;V:=W:fofType
% 152.75/153.02 Found x3 as proof of (((rel_k V) V00)->False)
% 152.75/153.02 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found x1:(((rel_k W) V)->False)
% 156.34/156.61 Instantiate: V0:=W:fofType;V:=V1:fofType
% 156.34/156.61 Found x1 as proof of (((rel_k V0) V1)->False)
% 156.34/156.61 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 156.34/156.61 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 156.34/156.61 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 156.34/156.61 Found x3:(((rel_k W) V0)->False)
% 156.34/156.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 156.34/156.61 Found x3 as proof of (((rel_k V) V00)->False)
% 156.34/156.61 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found x4:((rel_k V) V0)
% 156.34/156.61 Instantiate: V2:=V0:fofType;V:=W:fofType
% 156.34/156.61 Found x4 as proof of ((rel_k W) V2)
% 156.34/156.61 Found (x6 x4) as proof of False
% 156.34/156.61 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 156.34/156.61 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 156.34/156.61 Found or_intror00:=(or_intror0 (((rel_k S) V2)->False)):((((rel_k S) V2)->False)->((or (p V0)) (((rel_k S) V2)->False)))
% 156.34/156.61 Found (or_intror0 (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 156.34/156.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 156.34/156.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 156.34/156.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 156.34/156.61 Found ((or_intror (p V0)) (((rel_k S) V2)->False)) as proof of ((((rel_k S) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 156.34/156.61 Found x3:(((rel_k W) V0)->False)
% 156.34/156.61 Instantiate: V0:=V00:fofType;V:=W:fofType
% 156.34/156.61 Found x3 as proof of (((rel_k V) V00)->False)
% 156.34/156.61 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.61 Found (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot (mbox_k p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 156.34/156.61 Found ((or_ind20 ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.62 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.62 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V1)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 156.34/156.62 Found ((((fun (P:Prop) (x5:((((rel_k W) V00)->False)->P)) (x6:(((mnot (mbox_k p)) V00)->P))=> ((((((or_ind (((rel_k W) V00)->False)) ((mnot (mbox_k p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k W) V00)->False)) (p V00))) (fun (x5:((mnot (mbox_k p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 158.59/158.83 Found x1:(((rel_k W) V)->False)
% 158.59/158.83 Instantiate: V0:=W:fofType;V:=V1:fofType
% 158.59/158.83 Found x1 as proof of (((rel_k V0) V1)->False)
% 158.59/158.83 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot (mbox_k p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found ((or_ind20 ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found ((((fun (P:Prop) (x5:((((rel_k W) V2)->False)->P)) (x6:(((mnot (mbox_k p)) V2)->P))=> ((((((or_ind (((rel_k W) V2)->False)) ((mnot (mbox_k p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V2)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found ((((fun (P:Prop) (x5:((((rel_k W) V1)->False)->P)) (x6:(((mnot (mbox_k p)) V1)->P))=> ((((((or_ind (((rel_k W) V1)->False)) ((mnot (mbox_k p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k W) V1)->False)) (p V1))) (fun (x5:((mnot (mbox_k p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 158.59/158.83 Found or_introl10:=(or_introl1 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 158.59/158.83 Found (or_introl1 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 158.59/158.83 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 158.59/158.83 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 158.59/158.83 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 158.59/158.83 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 158.59/158.83 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 158.59/158.83 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 158.59/158.83 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 158.59/158.83 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((mbox_k p) V)
% 164.22/164.48 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 164.22/164.48 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 164.22/164.48 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 164.22/164.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 164.22/164.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 164.22/164.48 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((mbox_k p) V0)
% 164.22/164.48 Found or_introl10:=(or_introl1 (p V00)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V00)))
% 164.22/164.48 Found (or_introl1 (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V00)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 164.22/164.48 Found or_introl10:=(or_introl1 (p V1)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V1)))
% 164.22/164.48 Found (or_introl1 (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V2)->False)) (p V1)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 164.22/164.48 Found x4:((rel_k V) V0)
% 164.22/164.48 Instantiate: V2:=V0:fofType
% 164.22/164.48 Found x4 as proof of ((rel_k W) V2)
% 164.22/164.48 Found (x6 x4) as proof of False
% 164.22/164.48 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 164.22/164.48 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 164.22/164.48 Found x3:(((rel_k W) V0)->False)
% 164.22/164.48 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.22/164.48 Found x3 as proof of (((rel_k V) V00)->False)
% 164.22/164.48 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 164.22/164.48 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 164.22/164.48 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 164.22/164.48 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 164.22/164.48 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 164.22/164.48 Found x3:(((rel_k W) V0)->False)
% 164.22/164.48 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.22/164.48 Found x3 as proof of (((rel_k V) V00)->False)
% 164.22/164.48 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 164.22/164.48 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 170.02/170.25 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 170.02/170.25 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 170.02/170.25 Found x10:False
% 170.02/170.25 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 170.02/170.25 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 170.02/170.25 Found x10:False
% 170.02/170.25 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 170.02/170.25 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 170.02/170.25 Found x1:(((rel_k W) V)->False)
% 170.02/170.25 Instantiate: V0:=W:fofType;V:=V1:fofType
% 170.02/170.25 Found x1 as proof of (((rel_k V0) V1)->False)
% 170.02/170.25 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 170.02/170.25 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 170.02/170.25 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 170.02/170.25 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 170.02/170.25 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 170.02/170.25 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 170.02/170.25 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found or_introl10:=(or_introl1 (p V0)):((((rel_k S) V1)->False)->((or (((rel_k S) V1)->False)) (p V0)))
% 170.02/170.25 Found (or_introl1 (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found ((or_introl (((rel_k S) V1)->False)) (p V0)) as proof of ((((rel_k S) V1)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 170.02/170.25 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 170.02/170.25 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 176.33/176.63 Found x3:(((rel_k W) V0)->False)
% 176.33/176.63 Instantiate: V0:=V00:fofType;V:=W:fofType
% 176.33/176.63 Found x3 as proof of (((rel_k V) V00)->False)
% 176.33/176.63 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 176.33/176.63 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 176.33/176.63 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 176.33/176.63 Found x1:(((rel_k W) V)->False)
% 176.33/176.63 Instantiate: V0:=W:fofType;V:=V1:fofType
% 176.33/176.63 Found x1 as proof of (((rel_k V0) V1)->False)
% 176.33/176.63 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 176.33/176.63 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 176.33/176.63 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 176.33/176.63 Found x2:((rel_k V) V0)
% 176.33/176.63 Instantiate: V1:=V0:fofType;V:=W:fofType
% 176.33/176.63 Found x2 as proof of ((rel_k W) V1)
% 176.33/176.63 Found (x4 x2) as proof of False
% 176.33/176.63 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 176.33/176.63 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 176.33/176.63 Found x2:((rel_k V) V0)
% 176.33/176.63 Instantiate: V1:=V0:fofType;V:=W:fofType
% 176.33/176.63 Found x2 as proof of ((rel_k W) V1)
% 176.33/176.63 Found (x4 x2) as proof of False
% 176.33/176.63 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 176.33/176.63 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 176.33/176.63 Found x30:False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 176.33/176.63 Found x30:False
% 176.33/176.63 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 176.33/176.63 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 176.33/176.63 Found x10:False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 176.33/176.63 Found x10:False
% 176.33/176.63 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 176.33/176.63 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 176.33/176.63 Found x10:False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x10) as proof of (((mnot (mbox_k p)) V1)->False)
% 176.33/176.63 Found x30:False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of False
% 176.33/176.63 Found (fun (x5:((mnot (mbox_k p)) V1))=> x30) as proof of (((mnot (mbox_k p)) V1)->False)
% 176.33/176.63 Found x30:False
% 185.09/185.38 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of False
% 185.09/185.38 Found (fun (x5:(((rel_k W) V1)->False))=> x30) as proof of ((((rel_k W) V1)->False)->False)
% 185.09/185.38 Found x10:False
% 185.09/185.38 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of False
% 185.09/185.38 Found (fun (x5:(((rel_k W) V1)->False))=> x10) as proof of ((((rel_k W) V1)->False)->False)
% 185.09/185.38 Found or_introl20:=(or_introl2 (p V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) (p V2)))
% 185.09/185.38 Found (or_introl2 (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 185.09/185.38 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 185.09/185.38 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found or_intror10:=(or_intror1 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 185.09/185.38 Found (or_intror1 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 185.09/185.38 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 185.09/185.38 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 185.09/185.38 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 185.09/185.38 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 185.09/185.38 Found x10:False
% 185.09/185.38 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 185.09/185.38 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 185.09/185.38 Found x10:False
% 185.09/185.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 185.09/185.38 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 185.09/185.38 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 185.09/185.38 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 185.09/185.38 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 185.09/185.38 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 199.34/199.59 Found or_intror10:=(or_intror1 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 199.34/199.59 Found (or_intror1 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 199.34/199.59 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 199.34/199.59 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 199.34/199.59 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 199.34/199.59 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 199.34/199.59 Found x3:(((rel_k S) V0)->False)
% 199.34/199.59 Instantiate: V0:=V00:fofType;V:=S:fofType
% 199.34/199.59 Found x3 as proof of (((rel_k V) V00)->False)
% 199.34/199.59 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found or_introl00:=(or_introl0 (p V2)):((((rel_k W) V3)->False)->((or (((rel_k W) V3)->False)) (p V2)))
% 199.34/199.59 Found (or_introl0 (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 199.34/199.59 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 199.34/199.59 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 199.34/199.59 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 199.34/199.59 Found ((or_introl (((rel_k W) V3)->False)) (p V2)) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 199.34/199.59 Found x10:False
% 199.34/199.59 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of False
% 199.34/199.59 Found (fun (x3:(((rel_k W) V0)->False))=> x10) as proof of ((((rel_k W) V0)->False)->False)
% 199.34/199.59 Found x10:False
% 199.34/199.59 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of False
% 199.34/199.59 Found (fun (x3:((mnot (mbox_k p)) V0))=> x10) as proof of (((mnot (mbox_k p)) V0)->False)
% 199.34/199.59 Found x3:(((rel_k S) V0)->False)
% 199.34/199.59 Instantiate: V0:=V00:fofType;V:=S:fofType
% 199.34/199.59 Found x3 as proof of (((rel_k V) V00)->False)
% 199.34/199.59 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 199.34/199.59 Found or_introl10:=(or_introl1 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found (or_introl1 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 199.34/199.59 Found x4:((rel_k V) V0)
% 199.34/199.59 Instantiate: V2:=V0:fofType;V:=S:fofType
% 199.34/199.59 Found x4 as proof of ((rel_k S) V2)
% 199.34/199.59 Found (x6 x4) as proof of False
% 199.34/199.59 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 199.34/199.59 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 199.34/199.59 Found x3:(((rel_k S) V0)->False)
% 199.34/199.59 Instantiate: V0:=V00:fofType;V:=S:fofType
% 199.34/199.59 Found x3 as proof of (((rel_k V) V00)->False)
% 199.34/199.59 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 200.85/201.14 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found x3:(((rel_k S) V0)->False)
% 200.85/201.14 Instantiate: V0:=V00:fofType;V:=S:fofType
% 200.85/201.14 Found x3 as proof of (((rel_k V) V00)->False)
% 200.85/201.14 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 200.85/201.14 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 200.85/201.14 Found x1:(((rel_k S) V)->False)
% 200.85/201.14 Instantiate: V0:=S:fofType;V:=V1:fofType
% 200.85/201.14 Found x1 as proof of (((rel_k V0) V1)->False)
% 200.85/201.14 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 200.85/201.14 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 200.85/201.14 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 200.85/201.14 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 200.85/201.14 Found (False_rect0 (p V00)) as proof of (p V00)
% 200.85/201.14 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 200.85/201.14 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 200.85/201.14 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 200.85/201.14 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found x3:(((rel_k S) V0)->False)
% 209.53/209.77 Instantiate: V0:=V00:fofType;V:=S:fofType
% 209.53/209.77 Found x3 as proof of (((rel_k V) V00)->False)
% 209.53/209.77 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 209.53/209.77 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found x4:((rel_k V) V0)
% 209.53/209.77 Instantiate: V2:=V0:fofType
% 209.53/209.77 Found x4 as proof of ((rel_k S) V2)
% 209.53/209.77 Found (x6 x4) as proof of False
% 209.53/209.77 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 209.53/209.77 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 209.53/209.77 Found or_introl00:=(or_introl0 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 209.53/209.77 Found (or_introl0 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 209.53/209.77 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 209.53/209.77 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 209.53/209.77 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 209.53/209.77 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 209.53/209.77 Found x3:(((rel_k S) V0)->False)
% 209.53/209.77 Instantiate: V0:=V00:fofType;V:=S:fofType
% 209.53/209.77 Found x3 as proof of (((rel_k V) V00)->False)
% 209.53/209.77 Found (or_introl00 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 209.53/209.77 Found x1:(((rel_k S) V)->False)
% 209.53/209.77 Instantiate: V0:=S:fofType;V:=V1:fofType
% 209.53/209.77 Found x1 as proof of (((rel_k V0) V1)->False)
% 209.53/209.77 Found (or_introl00 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 209.53/209.77 Found ((or_introl0 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 209.53/209.77 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 209.53/209.77 Found or_intror00:=(or_intror0 (((rel_k W) V1)->False)):((((rel_k W) V1)->False)->((or (p V0)) (((rel_k W) V1)->False)))
% 209.53/209.77 Found (or_intror0 (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found ((or_intror (p V0)) (((rel_k W) V1)->False)) as proof of ((((rel_k W) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 209.53/209.77 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 209.53/209.77 Found (False_rect0 (p V00)) as proof of (p V00)
% 209.53/209.77 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 210.30/210.55 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 210.30/210.55 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 210.30/210.55 Found x4:((rel_k V) V0)
% 210.30/210.55 Instantiate: V2:=V0:fofType;V:=S:fofType
% 210.30/210.55 Found x4 as proof of ((rel_k S) V2)
% 210.30/210.55 Found (x6 x4) as proof of False
% 210.30/210.55 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 210.30/210.55 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 210.30/210.55 Found x3:(((rel_k S) V0)->False)
% 210.30/210.55 Instantiate: V0:=V00:fofType;V:=S:fofType
% 210.30/210.55 Found x3 as proof of (((rel_k V) V00)->False)
% 210.30/210.55 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3)) as proof of (((mnot ((mbox rel_k) p)) V1)->((or (((rel_k V) V00)->False)) (p V00)))
% 210.30/210.55 Found ((or_ind20 ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (((or_ind2 ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) x4)) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V1)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found ((((fun (P:Prop) (x5:((((rel_k S) V00)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V00)->P))=> ((((((or_ind (((rel_k S) V00)->False)) ((mnot ((mbox rel_k) p)) V00)) P) x5) x6) (x V00))) ((or (((rel_k V) V00)->False)) (p V00))) ((or_introl (((rel_k S) V00)->False)) (p V00))) (fun (x5:((mnot ((mbox rel_k) p)) V00))=> (((or_introl (((rel_k V) V00)->False)) (p V00)) x3))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found False_rect00:=(False_rect0 ((or (((rel_k V) V00)->False)) (p V00))):((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (False_rect0 ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 210.30/210.55 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 210.30/210.55 Found (fun (V00:fofType)=> ((fun (P:Type)=> ((False_rect P) x30)) ((or (((rel_k V) V00)->False)) (p V00)))) as proof of (((mbox rel_k) p) V)
% 212.46/212.71 Found False_rect00:=(False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))):((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (False_rect0 ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 212.46/212.71 Found (fun (V1:fofType)=> ((fun (P:Type)=> ((False_rect P) x10)) ((or (((rel_k V0) V1)->False)) (p V1)))) as proof of (((mbox rel_k) p) V0)
% 212.46/212.71 Found x1:(((rel_k S) V)->False)
% 212.46/212.71 Instantiate: V0:=S:fofType;V:=V1:fofType
% 212.46/212.71 Found x1 as proof of (((rel_k V0) V1)->False)
% 212.46/212.71 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1)) as proof of (((mnot ((mbox rel_k) p)) V2)->((or (((rel_k V0) V1)->False)) (p V1)))
% 212.46/212.71 Found ((or_ind20 ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found (((or_ind2 ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found ((((fun (P:Prop) (x5:((((rel_k S) V2)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V2)->P))=> ((((((or_ind (((rel_k S) V2)->False)) ((mnot ((mbox rel_k) p)) V2)) P) x5) x6) x4)) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V2)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V2))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found ((((fun (P:Prop) (x5:((((rel_k S) V1)->False)->P)) (x6:(((mnot ((mbox rel_k) p)) V1)->P))=> ((((((or_ind (((rel_k S) V1)->False)) ((mnot ((mbox rel_k) p)) V1)) P) x5) x6) (x V1))) ((or (((rel_k V0) V1)->False)) (p V1))) ((or_introl (((rel_k S) V1)->False)) (p V1))) (fun (x5:((mnot ((mbox rel_k) p)) V1))=> (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 212.46/212.71 Found x3:(((rel_k S) V0)->False)
% 212.46/212.71 Instantiate: V0:=V00:fofType;V:=S:fofType
% 212.46/212.71 Found x3 as proof of (((rel_k V) V00)->False)
% 212.46/212.71 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found x3:(((rel_k W) V0)->False)
% 212.46/212.71 Instantiate: V0:=V00:fofType;V:=W:fofType
% 212.46/212.71 Found x3 as proof of (((rel_k V) V00)->False)
% 212.46/212.71 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 212.46/212.71 Found (False_rect0 (p V00)) as proof of (p V00)
% 212.46/212.71 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 212.46/212.71 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 212.46/212.71 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 212.46/212.71 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 222.13/222.45 Found (False_rect0 (p V1)) as proof of (p V1)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 222.13/222.45 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found x3:(((rel_k S) V0)->False)
% 222.13/222.45 Instantiate: V0:=V00:fofType;V:=S:fofType
% 222.13/222.45 Found x3 as proof of (((rel_k V) V00)->False)
% 222.13/222.45 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found x1:(((rel_k S) V)->False)
% 222.13/222.45 Instantiate: V0:=S:fofType;V:=V1:fofType
% 222.13/222.45 Found x1 as proof of (((rel_k V0) V1)->False)
% 222.13/222.45 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 222.13/222.45 Found x3:(((rel_k W) V0)->False)
% 222.13/222.45 Instantiate: V0:=V00:fofType;V:=W:fofType
% 222.13/222.45 Found x3 as proof of (((rel_k V) V00)->False)
% 222.13/222.45 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found x4:((rel_k V) V0)
% 222.13/222.45 Instantiate: V2:=V0:fofType
% 222.13/222.45 Found x4 as proof of ((rel_k S) V2)
% 222.13/222.45 Found (x6 x4) as proof of False
% 222.13/222.45 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of False
% 222.13/222.45 Found (fun (x6:(((rel_k S) V2)->False))=> (x6 x4)) as proof of ((((rel_k S) V2)->False)->False)
% 222.13/222.45 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 222.13/222.45 Found (False_rect0 (p V00)) as proof of (p V00)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 222.13/222.45 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 222.13/222.45 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 222.13/222.45 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 222.13/222.45 Found (False_rect0 (p V1)) as proof of (p V1)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 222.13/222.45 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 222.13/222.45 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 228.67/228.93 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 228.67/228.93 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.67/228.93 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.67/228.93 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.67/228.93 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 228.67/228.93 Found x3:(((rel_k S) V0)->False)
% 228.67/228.93 Instantiate: V0:=V00:fofType;V:=S:fofType
% 228.67/228.93 Found x3 as proof of (((rel_k V) V00)->False)
% 228.67/228.93 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found x1:(((rel_k S) V)->False)
% 228.67/228.93 Instantiate: V0:=S:fofType;V:=V1:fofType
% 228.67/228.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 228.67/228.93 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found x4:((rel_k V) V0)
% 228.67/228.93 Instantiate: V2:=V0:fofType;V:=W:fofType
% 228.67/228.93 Found x4 as proof of ((rel_k W) V2)
% 228.67/228.93 Found x3:(((rel_k W) V0)->False)
% 228.67/228.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 228.67/228.93 Found x3 as proof of (((rel_k V) V00)->False)
% 228.67/228.93 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found x1:(((rel_k W) V)->False)
% 228.67/228.93 Instantiate: V0:=W:fofType;V:=V1:fofType
% 228.67/228.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 228.67/228.93 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 228.67/228.93 Found x10:False
% 228.67/228.93 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of False
% 228.67/228.93 Found (fun (x2:((mdia_k ((mbox rel_k) p)) V00))=> x10) as proof of (((mdia_k ((mbox rel_k) p)) V00)->False)
% 228.67/228.93 Found x10:False
% 228.67/228.93 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 228.67/228.93 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 228.67/228.93 Found x2:((rel_k V) V0)
% 228.67/228.93 Instantiate: V1:=V0:fofType;V:=S:fofType
% 228.67/228.93 Found x2 as proof of ((rel_k S) V1)
% 228.67/228.93 Found (x4 x2) as proof of False
% 228.67/228.93 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 228.67/228.93 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 228.67/228.93 Found x3:(((rel_k W) V0)->False)
% 228.67/228.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 228.67/228.93 Found x3 as proof of (((rel_k V) V00)->False)
% 228.67/228.93 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 228.67/228.93 Found x1:(((rel_k W) V)->False)
% 228.67/228.93 Instantiate: V0:=W:fofType;V:=V1:fofType
% 228.67/228.93 Found x1 as proof of (((rel_k V0) V1)->False)
% 238.09/238.36 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 238.09/238.36 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 238.09/238.36 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 238.09/238.36 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 238.09/238.36 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 238.09/238.36 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 238.09/238.36 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 238.09/238.36 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 238.09/238.36 Found x4:((rel_k V) V0)
% 238.09/238.36 Instantiate: V2:=V0:fofType
% 238.09/238.36 Found x4 as proof of ((rel_k W) V2)
% 238.09/238.36 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 238.09/238.36 Found x2:((rel_k V) V0)
% 238.09/238.36 Instantiate: V1:=V0:fofType;V:=S:fofType
% 238.09/238.36 Found x2 as proof of ((rel_k S) V1)
% 238.09/238.36 Found (x4 x2) as proof of False
% 238.09/238.36 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of False
% 238.09/238.36 Found (fun (x4:(((rel_k S) V1)->False))=> (x4 x2)) as proof of ((((rel_k S) V1)->False)->False)
% 238.09/238.36 Found x30:False
% 238.09/238.36 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 238.09/238.36 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 238.09/238.36 Found x30:False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 238.09/238.36 Found x10:False
% 238.09/238.36 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 238.09/238.36 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 238.09/238.36 Found x10:False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 238.09/238.36 Found x30:False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of False
% 238.09/238.36 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x30) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 250.17/250.46 Found x10:False
% 250.17/250.46 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of False
% 250.17/250.46 Found (fun (x5:((mnot ((mbox rel_k) p)) V1))=> x10) as proof of (((mnot ((mbox rel_k) p)) V1)->False)
% 250.17/250.46 Found x10:False
% 250.17/250.46 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of False
% 250.17/250.46 Found (fun (x5:(((rel_k S) V1)->False))=> x10) as proof of ((((rel_k S) V1)->False)->False)
% 250.17/250.46 Found x30:False
% 250.17/250.46 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of False
% 250.17/250.46 Found (fun (x5:(((rel_k S) V1)->False))=> x30) as proof of ((((rel_k S) V1)->False)->False)
% 250.17/250.46 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 250.17/250.46 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 250.17/250.46 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found or_introl20:=(or_introl2 (p V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) (p V2)))
% 250.17/250.46 Found (or_introl2 (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 250.17/250.46 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 250.17/250.46 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 250.17/250.46 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 250.17/250.46 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 255.95/256.23 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 255.95/256.23 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 255.95/256.23 Found x4:((rel_k V) V0)
% 255.95/256.23 Instantiate: V3:=V0:fofType
% 255.95/256.23 Found x4 as proof of ((rel_k W) V3)
% 255.95/256.23 Found x4:((rel_k V) V0)
% 255.95/256.23 Instantiate: V2:=V0:fofType;V:=W:fofType
% 255.95/256.23 Found x4 as proof of ((rel_k W) V2)
% 255.95/256.23 Found x2:((rel_k V) V0)
% 255.95/256.23 Instantiate: V1:=V0:fofType;V:=W:fofType
% 255.95/256.23 Found x2 as proof of ((rel_k W) V1)
% 255.95/256.23 Found (x4 x2) as proof of False
% 255.95/256.23 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 255.95/256.23 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 255.95/256.23 Found or_introl20:=(or_introl2 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found (or_introl2 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found or_introl20:=(or_introl2 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found (or_introl2 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found or_introl00:=(or_introl0 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found (or_introl0 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found or_introl00:=(or_introl0 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found (or_introl0 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 255.95/256.23 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 258.67/258.95 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 258.67/258.95 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 258.67/258.95 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 258.67/258.95 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 258.67/258.95 Found or_introl20:=(or_introl2 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found (or_introl2 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found x4:((rel_k V) V0)
% 258.67/258.95 Instantiate: V2:=V0:fofType;V:=W:fofType
% 258.67/258.95 Found x4 as proof of ((rel_k W) V2)
% 258.67/258.95 Found (x6 x4) as proof of False
% 258.67/258.95 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 258.67/258.95 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 258.67/258.95 Found or_introl00:=(or_introl0 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found (or_introl0 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 258.67/258.95 Found or_introl00:=(or_introl0 (p V2)):((((rel_k S) V3)->False)->((or (((rel_k S) V3)->False)) (p V2)))
% 258.67/258.95 Found (or_introl0 (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 258.67/258.95 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 258.67/258.95 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 258.67/258.95 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 258.67/258.95 Found ((or_introl (((rel_k S) V3)->False)) (p V2)) as proof of ((((rel_k S) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 258.67/258.95 Found x2:((rel_k V) V0)
% 258.67/258.95 Instantiate: V1:=V0:fofType;V:=W:fofType
% 258.67/258.95 Found x2 as proof of ((rel_k W) V1)
% 258.67/258.95 Found (x4 x2) as proof of False
% 258.67/258.95 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 258.67/258.95 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 262.85/263.15 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 262.85/263.15 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 262.85/263.15 Found x4:((rel_k V) V0)
% 262.85/263.15 Instantiate: V2:=V0:fofType
% 262.85/263.15 Found x4 as proof of ((rel_k W) V2)
% 262.85/263.15 Found x3:(((rel_k W) V0)->False)
% 262.85/263.15 Instantiate: V0:=V00:fofType;V:=W:fofType
% 262.85/263.15 Found x3 as proof of (((rel_k V) V00)->False)
% 262.85/263.15 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found x10:False
% 262.85/263.15 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of False
% 262.85/263.15 Found (fun (x3:((mnot ((mbox rel_k) p)) V0))=> x10) as proof of (((mnot ((mbox rel_k) p)) V0)->False)
% 262.85/263.15 Found x10:False
% 262.85/263.15 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of False
% 262.85/263.15 Found (fun (x3:(((rel_k S) V0)->False))=> x10) as proof of ((((rel_k S) V0)->False)->False)
% 262.85/263.15 Found x4:((rel_k V) V0)
% 262.85/263.15 Instantiate: V2:=V0:fofType
% 262.85/263.15 Found x4 as proof of ((rel_k W) V2)
% 262.85/263.15 Found (x6 x4) as proof of False
% 262.85/263.15 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of False
% 262.85/263.15 Found (fun (x6:(((rel_k W) V2)->False))=> (x6 x4)) as proof of ((((rel_k W) V2)->False)->False)
% 262.85/263.15 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 262.85/263.15 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 262.85/263.15 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 262.85/263.15 Found x3:(((rel_k W) V0)->False)
% 262.85/263.15 Instantiate: V0:=V00:fofType;V:=W:fofType
% 262.85/263.15 Found x3 as proof of (((rel_k V) V00)->False)
% 262.85/263.15 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 262.85/263.15 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 262.85/263.15 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 262.85/263.15 Found (False_rect0 (p V00)) as proof of (p V00)
% 262.85/263.15 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 269.81/270.14 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 269.81/270.14 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 269.81/270.14 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 269.81/270.14 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 269.81/270.14 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 269.81/270.14 Found or_introl00:=(or_introl0 (p V0)):((((rel_k S) V2)->False)->((or (((rel_k S) V2)->False)) (p V0)))
% 269.81/270.14 Found (or_introl0 (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 269.81/270.14 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 269.81/270.14 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 269.81/270.14 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 269.81/270.14 Found ((or_introl (((rel_k S) V2)->False)) (p V0)) as proof of ((((rel_k S) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 269.81/270.14 Found or_intror00:=(or_intror0 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 269.81/270.14 Found (or_intror0 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 269.81/270.14 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 269.81/270.14 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 269.81/270.14 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_k) p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 269.81/270.14 Found (or_introl1 ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 269.81/270.14 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 269.81/270.14 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 269.81/270.14 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 273.53/273.91 Found ((or_introl (((rel_k V) V00)->False)) ((mnot ((mbox rel_k) p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot ((mbox rel_k) p)) V1)))
% 273.53/273.91 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 273.53/273.91 Found (False_rect0 (p V00)) as proof of (p V00)
% 273.53/273.91 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 273.53/273.91 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 273.53/273.91 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 273.53/273.91 Found x3:(((rel_k W) V0)->False)
% 273.53/273.91 Instantiate: V0:=V00:fofType;V:=W:fofType
% 273.53/273.91 Found x3 as proof of (((rel_k V) V00)->False)
% 273.53/273.91 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 273.53/273.91 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 273.53/273.91 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 273.53/273.91 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 273.53/273.91 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 273.53/273.91 Found x1:(((rel_k W) V)->False)
% 273.53/273.91 Instantiate: V0:=W:fofType;V:=V1:fofType
% 273.53/273.91 Found x1 as proof of (((rel_k V0) V1)->False)
% 273.53/273.91 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 273.53/273.91 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 273.53/273.91 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 273.53/273.91 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 273.53/273.91 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 273.53/273.91 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 273.53/273.91 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 273.53/273.91 Found or_intror00:=(or_intror0 (((rel_k S) V1)->False)):((((rel_k S) V1)->False)->((or (p V0)) (((rel_k S) V1)->False)))
% 273.53/273.91 Found (or_intror0 (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 273.53/273.91 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 273.53/273.91 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 273.53/273.91 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 273.53/273.91 Found ((or_intror (p V0)) (((rel_k S) V1)->False)) as proof of ((((rel_k S) V1)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 273.53/273.91 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 274.40/274.69 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 274.40/274.69 Found x3:(((rel_k W) V0)->False)
% 274.40/274.69 Instantiate: V0:=V00:fofType;V:=W:fofType
% 274.40/274.69 Found x3 as proof of (((rel_k V) V00)->False)
% 274.40/274.69 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 274.40/274.69 Found ((or_intror1 (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 274.40/274.69 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 274.40/274.69 Found (((or_intror (p V00)) (((rel_k V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_k V) V00)->False))
% 274.40/274.69 Found (or_comm_i00 (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found ((or_comm_i0 (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found (((or_comm_i (p V00)) (((rel_k V) V00)->False)) (((or_intror (p V00)) (((rel_k V) V00)->False)) x3)) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found x1:(((rel_k W) V)->False)
% 274.40/274.69 Instantiate: V0:=W:fofType;V:=V1:fofType
% 274.40/274.69 Found x1 as proof of (((rel_k V0) V1)->False)
% 274.40/274.69 Found (or_intror10 x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 274.40/274.69 Found ((or_intror1 (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 274.40/274.69 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 274.40/274.69 Found (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1) as proof of ((or (p V1)) (((rel_k V0) V1)->False))
% 274.40/274.69 Found (or_comm_i00 (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 274.40/274.69 Found ((or_comm_i0 (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 274.40/274.69 Found (((or_comm_i (p V1)) (((rel_k V0) V1)->False)) (((or_intror (p V1)) (((rel_k V0) V1)->False)) x1)) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 274.40/274.69 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 274.40/274.69 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 274.40/274.69 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 274.40/274.69 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 274.40/274.69 Found (False_rect0 (p V00)) as proof of (p V00)
% 274.40/274.69 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 274.40/274.69 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 274.40/274.69 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 274.40/274.69 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 281.04/281.33 Found (False_rect0 (p V1)) as proof of (p V1)
% 281.04/281.33 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 281.04/281.33 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 281.04/281.33 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 281.04/281.33 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 281.04/281.33 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 281.04/281.33 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 281.04/281.33 Found x3:(((rel_k S) V0)->False)
% 281.04/281.33 Instantiate: V0:=V00:fofType;V:=S:fofType
% 281.04/281.33 Found x3 as proof of (((rel_k V) V00)->False)
% 281.04/281.33 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 281.04/281.33 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 281.04/281.33 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 281.04/281.33 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 281.04/281.33 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found x2:((rel_k V) V0)
% 281.04/281.33 Instantiate: V1:=V0:fofType;V:=W:fofType
% 281.04/281.33 Found x2 as proof of ((rel_k W) V1)
% 281.04/281.33 Found (x4 x2) as proof of False
% 281.04/281.33 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 281.04/281.33 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 281.04/281.33 Found x4:((rel_k V) V0)
% 281.04/281.33 Instantiate: V3:=V0:fofType
% 281.04/281.33 Found x4 as proof of ((rel_k W) V3)
% 281.04/281.33 Found (x6 x4) as proof of False
% 281.04/281.33 Found (fun (x7:((rel_k V1) V2))=> (x6 x4)) as proof of False
% 281.04/281.33 Found (fun (x7:((rel_k V1) V2))=> (x6 x4)) as proof of (((rel_k V1) V2)->False)
% 281.04/281.33 Found (or_introl10 (fun (x7:((rel_k V1) V2))=> (x6 x4))) as proof of ((or (((rel_k V1) V2)->False)) (p V2))
% 281.04/281.33 Found ((or_introl1 (p V2)) (fun (x7:((rel_k V1) V2))=> (x6 x4))) as proof of ((or (((rel_k V1) V2)->False)) (p V2))
% 281.04/281.33 Found (((or_introl (((rel_k V1) V2)->False)) (p V2)) (fun (x7:((rel_k V1) V2))=> (x6 x4))) as proof of ((or (((rel_k V1) V2)->False)) (p V2))
% 281.04/281.33 Found (fun (x6:(((rel_k W) V3)->False))=> (((or_introl (((rel_k V1) V2)->False)) (p V2)) (fun (x7:((rel_k V1) V2))=> (x6 x4)))) as proof of ((or (((rel_k V1) V2)->False)) (p V2))
% 281.04/281.33 Found (fun (x6:(((rel_k W) V3)->False))=> (((or_introl (((rel_k V1) V2)->False)) (p V2)) (fun (x7:((rel_k V1) V2))=> (x6 x4)))) as proof of ((((rel_k W) V3)->False)->((or (((rel_k V1) V2)->False)) (p V2)))
% 281.04/281.33 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 281.04/281.33 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 281.04/281.33 Found x2:((rel_k V) V0)
% 281.04/281.33 Instantiate: V1:=V0:fofType;V:=W:fofType
% 281.04/281.33 Found x2 as proof of ((rel_k W) V1)
% 281.04/281.33 Found (x4 x2) as proof of False
% 281.04/281.33 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of False
% 281.04/281.33 Found (fun (x4:(((rel_k W) V1)->False))=> (x4 x2)) as proof of ((((rel_k W) V1)->False)->False)
% 285.19/285.53 Found x3:(((rel_k S) V0)->False)
% 285.19/285.53 Instantiate: V0:=V00:fofType;V:=S:fofType
% 285.19/285.53 Found x3 as proof of (((rel_k V) V00)->False)
% 285.19/285.53 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found False_rect00:=(False_rect0 (p V00)):(p V00)
% 285.19/285.53 Found (False_rect0 (p V00)) as proof of (p V00)
% 285.19/285.53 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 285.19/285.53 Found ((fun (P:Type)=> ((False_rect P) x30)) (p V00)) as proof of (p V00)
% 285.19/285.53 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found ((or_intror1 (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 285.19/285.53 Found (fun (V00:fofType)=> (((or_intror (((rel_k V) V00)->False)) (p V00)) ((fun (P:Type)=> ((False_rect P) x30)) (p V00)))) as proof of (forall (V0:fofType), ((or (((rel_k V) V0)->False)) (p V0)))
% 285.19/285.53 Found or_introl10:=(or_introl1 (p V0)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V0)))
% 285.19/285.53 Found (or_introl1 (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 285.19/285.53 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 285.19/285.53 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 285.19/285.53 Found ((or_introl (((rel_k W) V2)->False)) (p V0)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V) V0)->False)) (p V0)))
% 285.19/285.53 Found False_rect00:=(False_rect0 (p V1)):(p V1)
% 285.19/285.53 Found (False_rect0 (p V1)) as proof of (p V1)
% 285.19/285.53 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 285.19/285.53 Found ((fun (P:Type)=> ((False_rect P) x10)) (p V1)) as proof of (p V1)
% 285.19/285.53 Found (or_intror10 ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 285.19/285.53 Found ((or_intror1 (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 285.19/285.53 Found (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 285.19/285.53 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 285.19/285.53 Found (fun (V1:fofType)=> (((or_intror (((rel_k V0) V1)->False)) (p V1)) ((fun (P:Type)=> ((False_rect P) x10)) (p V1)))) as proof of (forall (V:fofType), ((or (((rel_k V0) V)->False)) (p V)))
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:((mdia_k (mbox_k p)) V00))=> x10) as proof of (((mdia_k (mbox_k p)) V00)->False)
% 285.19/285.53 Found x10:False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of False
% 285.19/285.53 Found (fun (x2:(((rel_k V) V00)->False))=> x10) as proof of ((((rel_k V) V00)->False)->False)
% 290.32/290.65 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 290.32/290.65 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 290.32/290.65 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found x3:(((rel_k S) V0)->False)
% 290.32/290.65 Instantiate: V0:=V00:fofType;V:=S:fofType
% 290.32/290.65 Found x3 as proof of (((rel_k V) V00)->False)
% 290.32/290.65 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.32/290.65 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.32/290.65 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 290.32/290.65 Found x1:(((rel_k S) V)->False)
% 290.32/290.65 Instantiate: V0:=S:fofType;V:=V1:fofType
% 290.32/290.65 Found x1 as proof of (((rel_k V0) V1)->False)
% 290.32/290.65 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 290.32/290.65 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 290.32/290.65 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 290.32/290.65 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 290.32/290.65 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 290.32/290.65 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 290.32/290.65 Found x4:((rel_k V) V0)
% 290.32/290.65 Instantiate: V2:=V0:fofType;V:=S:fofType
% 290.32/290.65 Found x4 as proof of ((rel_k S) V2)
% 290.32/290.65 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 290.32/290.65 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found or_introl20:=(or_introl2 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found (or_introl2 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found or_introl00:=(or_introl0 ((mnot (mbox_k p)) V1)):((((rel_k V) V00)->False)->((or (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found (or_introl0 ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found ((or_introl (((rel_k V) V00)->False)) ((mnot (mbox_k p)) V1)) as proof of ((((rel_k V) V00)->False)->((or (((rel_k V0) V1)->False)) ((mnot (mbox_k p)) V1)))
% 296.16/296.49 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 296.16/296.49 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 296.16/296.49 Found x3:(((rel_k S) V0)->False)
% 296.16/296.49 Instantiate: V0:=V00:fofType;V:=S:fofType
% 296.16/296.49 Found x3 as proof of (((rel_k V) V00)->False)
% 296.16/296.49 Found (or_introl10 x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 296.16/296.49 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 296.16/296.49 Found (((or_introl (((rel_k V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_k V) V00)->False)) (p V00))
% 296.16/296.49 Found x1:(((rel_k S) V)->False)
% 296.16/296.49 Instantiate: V0:=S:fofType;V:=V1:fofType
% 296.16/296.49 Found x1 as proof of (((rel_k V0) V1)->False)
% 296.16/296.49 Found (or_introl10 x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 296.16/296.49 Found ((or_introl1 (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 296.16/296.49 Found (((or_introl (((rel_k V0) V1)->False)) (p V1)) x1) as proof of ((or (((rel_k V0) V1)->False)) (p V1))
% 296.16/296.49 Found x4:((rel_k V) V0)
% 296.16/296.49 Instantiate: V2:=V0:fofType
% 296.16/296.49 Found x4 as proof of ((rel_k S) V2)
% 296.16/296.49 Found or_intror10:=(or_intror1 (((rel_k W) V2)->False)):((((rel_k W) V2)->False)->((or (p V0)) (((rel_k W) V2)->False)))
% 300.07/300.39 Found (or_intror1 (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 300.07/300.39 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 300.07/300.39 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 300.07/300.39 Found ((or_intror (p V0)) (((rel_k W) V2)->False)) as proof of ((((rel_k W) V2)->False)->((or (p V0)) (((rel_k V) V0)->False)))
% 300.07/300.39 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 300.07/300.39 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 300.07/300.39 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 300.07/300.39 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found or_introl00:=(or_introl0 (p V1)):((((rel_k W) V2)->False)->((or (((rel_k W) V2)->False)) (p V1)))
% 300.07/300.39 Found (or_introl0 (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V2)->False)) (p V1)) as proof of ((((rel_k W) V2)->False)->((or (((rel_k V0) V1)->False)) (p V1)))
% 300.07/300.39 Found or_introl00:=(or_introl0 (p V00)):((((rel_k W) V1)->False)->((or (((rel_k W) V1)->False)) (p V00)))
% 300.07/300.39 Found (or_introl0 (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p V00)) as proof of ((((rel_k W) V1)->False)->((or (((rel_k V) V00)->False)) (p V00)))
% 300.07/300.39 Found ((or_introl (((rel_k W) V1)->False)) (p
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