TSTP Solution File: SYO459^6 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO459^6 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:37 EDT 2022
% Result : Timeout 290.31s 290.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO459^6 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n012.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 22:18:04 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.40/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.40/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x2af811957710>, <kernel.Type object at 0x1e12560>) of role type named mu_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mu:Type
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x2af811957560>, <kernel.DependentProduct object at 0x1e12128>) of role type named meq_ind_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.40/0.60 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
% 0.40/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.40/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x2af811957710>, <kernel.DependentProduct object at 0x1e12b90>) of role type named meq_prop_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.60 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
% 0.40/0.60 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))))
% 0.40/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1e12a70>, <kernel.DependentProduct object at 0x1e122d8>) of role type named mnot_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.40/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.40/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.40/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1e122d8>, <kernel.DependentProduct object at 0x1e12488>) of role type named mor_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.60 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
% 0.40/0.60 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))))
% 0.40/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1e12488>, <kernel.DependentProduct object at 0x1e12200>) of role type named mand_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.60 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
% 0.40/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.40/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.40/0.60 FOF formula (<kernel.Constant object at 0x1e12200>, <kernel.DependentProduct object at 0x1e12638>) of role type named mimplies_type
% 0.40/0.60 Using role type
% 0.40/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.60 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
% 0.40/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.40/0.61 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1e12638>, <kernel.DependentProduct object at 0x1e12050>) of role type named mimplied_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.40/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1e12050>, <kernel.DependentProduct object at 0x1e12f80>) of role type named mequiv_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 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))))
% 0.40/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1e12f80>, <kernel.DependentProduct object at 0x1e12290>) of role type named mxor_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.40/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1e12c20>, <kernel.DependentProduct object at 0x1e12128>) of role type named mforall_ind_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.61 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
% 0.40/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.40/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x1e12128>, <kernel.DependentProduct object at 0x1e127e8>) of role type named mforall_prop_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.61 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
% 0.40/0.61 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))))
% 0.40/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.40/0.61 FOF formula (<kernel.Constant object at 0x2af81195c128>, <kernel.DependentProduct object at 0x2af81195c518>) of role type named mexists_ind_type
% 0.40/0.61 Using role type
% 0.40/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.40/0.61 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
% 0.40/0.61 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)))))))
% 0.40/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x2af81195c050>, <kernel.DependentProduct object at 0x1e12050>) of role type named mexists_prop_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.40/0.62 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
% 0.40/0.62 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)))))))
% 0.40/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x2af81195c128>, <kernel.DependentProduct object at 0x1df0b48>) of role type named mtrue_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mtrue:(fofType->Prop)
% 0.40/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.40/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.40/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x2af81195c128>, <kernel.DependentProduct object at 0x1df0b48>) of role type named mfalse_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mfalse:(fofType->Prop)
% 0.40/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.40/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.40/0.62 Defined: mfalse:=(mnot mtrue)
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x2af81195c128>, <kernel.DependentProduct object at 0x1df0ab8>) of role type named mbox_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.62 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
% 0.40/0.62 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)))))
% 0.40/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1df0ab8>, <kernel.DependentProduct object at 0x1df0b90>) of role type named mdia_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.40/0.62 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
% 0.40/0.62 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)))))
% 0.40/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1df0d40>, <kernel.DependentProduct object at 0x1e12950>) of role type named mreflexive_type
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.40/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.40/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.40/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1df05f0>, <kernel.DependentProduct object at 0x1e12f80>) of role type named msymmetric_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1df05f0>, <kernel.DependentProduct object at 0x1e12950>) of role type named mserial_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1df05f0>, <kernel.DependentProduct object at 0x1e12488>) of role type named mtransitive_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1e12050>, <kernel.DependentProduct object at 0x1e12950>) of role type named meuclidean_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1e12488>, <kernel.DependentProduct object at 0x1e13dd0>) of role type named mpartially_functional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.63 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1e121b8>, <kernel.DependentProduct object at 0x1e137a0>) of role type named mfunctional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1e121b8>, <kernel.DependentProduct object at 0x1e13248>) of role type named mweakly_dense_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1e12050>, <kernel.DependentProduct object at 0x1e138c0>) of role type named mweakly_connected_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1e138c0>, <kernel.DependentProduct object at 0x1e135a8>) of role type named mweakly_directed_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1e13368>, <kernel.DependentProduct object at 0x1e13dd0>) of role type named mvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1e138c0>, <kernel.DependentProduct object at 0x2af809e87200>) of role type named minvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1e138c0>, <kernel.DependentProduct object at 0x2af809e87560>) of role type named msatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2af809e873f8>, <kernel.DependentProduct object at 0x2af809e87638>) of role type named mcountersatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^6.ax, trying next directory
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2af811957dd0>, <kernel.DependentProduct object at 0x2af81195c488>) of role type named rel_s5_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring rel_s5:(fofType->(fofType->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2af811957710>, <kernel.DependentProduct object at 0x2af81195c998>) of role type named mbox_s5_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mbox_s5:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))) of role definition named mbox_s5
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))))
% 0.47/0.65 Defined: mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2af811957710>, <kernel.DependentProduct object at 0x2af81195c050>) of role type named mdia_s5_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mdia_s5:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))) of role definition named mdia_s5
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))))
% 0.47/0.65 Defined: mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))
% 0.47/0.65 FOF formula (mreflexive rel_s5) of role axiom named a1
% 0.47/0.65 A new axiom: (mreflexive rel_s5)
% 0.47/0.65 FOF formula (mtransitive rel_s5) of role axiom named a2
% 0.47/0.65 A new axiom: (mtransitive rel_s5)
% 0.47/0.65 FOF formula (msymmetric rel_s5) of role axiom named a3
% 0.47/0.65 A new axiom: (msymmetric rel_s5)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1e0dc68>, <kernel.DependentProduct object at 0x2af81195a638>) of role type named p_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p:(fofType->Prop)
% 0.47/0.65 FOF formula (mvalid ((mimplies (mdia_s5 (mbox_s5 p))) (mdia_s5 (mbox_s5 (mdia_s5 (mbox_s5 p)))))) of role conjecture named prove
% 0.47/0.65 Conjecture to prove = (mvalid ((mimplies (mdia_s5 (mbox_s5 p))) (mdia_s5 (mbox_s5 (mdia_s5 (mbox_s5 p)))))):Prop
% 0.47/0.65 Parameter mu_DUMMY:mu.
% 0.47/0.65 Parameter fofType_DUMMY:fofType.
% 0.47/0.65 We need to prove ['(mvalid ((mimplies (mdia_s5 (mbox_s5 p))) (mdia_s5 (mbox_s5 (mdia_s5 (mbox_s5 p))))))']
% 0.47/0.65 Parameter mu:Type.
% 0.47/0.65 Parameter fofType:Type.
% 0.47/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.65 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 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).
% 4.22/4.41 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).
% 4.22/4.41 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.22/4.41 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.22/4.41 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.22/4.41 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.22/4.41 Parameter rel_s5:(fofType->(fofType->Prop)).
% 4.22/4.41 Definition mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.22/4.41 Definition mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.22/4.41 Axiom a1:(mreflexive rel_s5).
% 4.22/4.41 Axiom a2:(mtransitive rel_s5).
% 4.22/4.41 Axiom a3:(msymmetric rel_s5).
% 4.22/4.41 Parameter p:(fofType->Prop).
% 4.22/4.41 Trying to prove (mvalid ((mimplies (mdia_s5 (mbox_s5 p))) (mdia_s5 (mbox_s5 (mdia_s5 (mbox_s5 p))))))
% 4.22/4.41 Found a10:=(a1 W):((rel_s5 W) W)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (x1 (a1 W)) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 4.22/4.41 Found a10:=(a1 S):((rel_s5 S) S)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (x1 (a1 S)) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 4.22/4.41 Found a10:=(a1 W):((rel_s5 W) W)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 4.22/4.41 Found (x1 (a1 W)) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 4.22/4.41 Found a10:=(a1 S):((rel_s5 S) S)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 4.22/4.41 Found (x1 (a1 S)) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.22/4.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 4.22/4.41 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 4.22/4.41 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 8.52/8.70 Found a10:=(a1 W):((rel_s5 W) W)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (x3 (a1 W)) as proof of False
% 8.52/8.70 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.52/8.70 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 8.52/8.70 Found a10:=(a1 W):((rel_s5 W) W)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 8.52/8.70 Found (x3 (a1 W)) as proof of False
% 8.52/8.70 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.52/8.70 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 8.52/8.70 Found a10:=(a1 W):((rel_s5 W) W)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (x1 (a1 W)) as proof of False
% 8.52/8.70 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.52/8.70 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 8.52/8.70 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found a10:=(a1 W):((rel_s5 W) W)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (a1 W) as proof of ((rel_s5 W) V)
% 8.52/8.70 Found (x1 (a1 W)) as proof of False
% 8.52/8.70 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.52/8.70 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 8.52/8.70 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 8.52/8.70 Found a10:=(a1 S):((rel_s5 S) S)
% 8.52/8.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 8.52/8.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 8.52/8.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 8.52/8.70 Found (x3 (a1 S)) as proof of False
% 8.52/8.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 13.71/13.87 Found a10:=(a1 S):((rel_s5 S) S)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 13.71/13.87 Found (x3 (a1 S)) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 13.71/13.87 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 13.71/13.87 Found a10:=(a1 W):((rel_s5 W) W)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (x3 (a1 W)) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 13.71/13.87 Found a10:=(a1 W):((rel_s5 W) W)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 13.71/13.87 Found (x3 (a1 W)) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.71/13.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 13.71/13.87 Found a10:=(a1 S):((rel_s5 S) S)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (x1 (a1 S)) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 13.71/13.87 Found a10:=(a1 W):((rel_s5 W) W)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 13.71/13.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 13.71/13.87 Found (x1 (a1 W)) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 13.71/13.87 Found a10:=(a1 S):((rel_s5 S) S)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (a1 S) as proof of ((rel_s5 S) V)
% 13.71/13.87 Found (x1 (a1 S)) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 13.71/13.87 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 20.24/20.41 Found a10:=(a1 W):((rel_s5 W) W)
% 20.24/20.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 20.24/20.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 20.24/20.41 Found (a1 W) as proof of ((rel_s5 W) V)
% 20.24/20.41 Found (x1 (a1 W)) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 20.24/20.41 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 20.24/20.41 Found a10:=(a1 S):((rel_s5 S) S)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (x3 (a1 S)) as proof of False
% 20.24/20.41 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 20.24/20.41 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 20.24/20.41 Found a10:=(a1 S):((rel_s5 S) S)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 20.24/20.41 Found (x3 (a1 S)) as proof of False
% 20.24/20.41 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 20.24/20.41 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 20.24/20.41 Found a10:=(a1 S):((rel_s5 S) S)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (x1 (a1 S)) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 20.24/20.41 Found a10:=(a1 S):((rel_s5 S) S)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (a1 S) as proof of ((rel_s5 S) V)
% 20.24/20.41 Found (x1 (a1 S)) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 20.24/20.41 Found a10:=(a1 V):((rel_s5 V) V)
% 20.24/20.41 Found (a1 V) as proof of ((rel_s5 V) V0)
% 20.24/20.41 Found (a1 V) as proof of ((rel_s5 V) V0)
% 20.24/20.41 Found (a1 V) as proof of ((rel_s5 V) V0)
% 20.24/20.41 Found (x1 (a1 V)) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 20.24/20.41 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 V):((rel_s5 V) V)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (x1 (a1 V)) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 28.56/28.74 Found a10:=(a1 S):((rel_s5 S) S)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found a10:=(a1 S):((rel_s5 S) S)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found a10:=(a1 V):((rel_s5 V) V)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (x1 (a1 V)) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 28.56/28.74 Found a10:=(a1 V):((rel_s5 V) V)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 28.56/28.74 Found (x1 (a1 V)) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.56/28.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 28.56/28.74 Found a10:=(a1 S):((rel_s5 S) S)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 S):((rel_s5 S) S)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found a10:=(a1 W):((rel_s5 W) W)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 28.56/28.74 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 28.56/28.74 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found a10:=(a1 V):((rel_s5 V) V)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (x1 (a1 V)) as proof of False
% 30.69/30.88 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.69/30.88 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 30.69/30.88 Found a10:=(a1 V):((rel_s5 V) V)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (a1 V) as proof of ((rel_s5 V) V0)
% 30.69/30.88 Found (x1 (a1 V)) as proof of False
% 30.69/30.88 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.69/30.88 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 30.69/30.88 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found a10:=(a1 W):((rel_s5 W) W)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (x3 (a1 W)) as proof of False
% 30.69/30.88 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.69/30.88 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.69/30.88 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 30.69/30.88 Found a10:=(a1 W):((rel_s5 W) W)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (x3 (a1 W)) as proof of False
% 30.69/30.88 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.69/30.88 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.69/30.88 Found a10:=(a1 W):((rel_s5 W) W)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.69/30.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.46/40.64 Found (x3 (a1 W)) as proof of False
% 40.46/40.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.46/40.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.46/40.64 Found a10:=(a1 W):((rel_s5 W) W)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.46/40.64 Found (x3 (a1 W)) as proof of False
% 40.46/40.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.46/40.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.46/40.64 Found a10:=(a1 V):((rel_s5 V) V)
% 40.46/40.64 Found (a1 V) as proof of ((rel_s5 V) V0)
% 40.46/40.64 Found (a1 V) as proof of ((rel_s5 V) V0)
% 40.46/40.64 Found (a1 V) as proof of ((rel_s5 V) V0)
% 40.46/40.64 Found (x1 (a1 V)) as proof of False
% 40.46/40.64 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 40.46/40.64 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 40.46/40.64 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found a10:=(a1 S):((rel_s5 S) S)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found a10:=(a1 S):((rel_s5 S) S)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 40.46/40.64 Found a10:=(a1 S):((rel_s5 S) S)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found a10:=(a1 S):((rel_s5 S) S)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found (a1 S) as proof of ((rel_s5 S) V0)
% 40.46/40.64 Found a10:=(a1 W):((rel_s5 W) W)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.46/40.64 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.46/40.64 Found (x1 (a1 W)) as proof of False
% 40.46/40.64 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.46/40.64 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 40.46/40.64 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 40.46/40.64 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 40.46/40.64 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.28 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found a10:=(a1 S):((rel_s5 S) S)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (x3 (a1 S)) as proof of False
% 46.10/46.29 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 46.10/46.29 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 46.10/46.29 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 46.10/46.29 Found a10:=(a1 S):((rel_s5 S) S)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (a1 S) as proof of ((rel_s5 S) V0)
% 46.10/46.29 Found (x3 (a1 S)) as proof of False
% 46.10/46.29 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 46.10/46.29 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 51.08/51.26 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found a10:=(a1 V):((rel_s5 V) V)
% 51.08/51.26 Found (a1 V) as proof of ((rel_s5 V) V0)
% 51.08/51.26 Found (a1 V) as proof of ((rel_s5 V) V0)
% 51.08/51.26 Found (a1 V) as proof of ((rel_s5 V) V0)
% 51.08/51.26 Found (x1 (a1 V)) as proof of False
% 51.08/51.26 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 51.08/51.26 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 51.08/51.26 Found a10:=(a1 S):((rel_s5 S) S)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (x3 (a1 S)) as proof of False
% 51.08/51.26 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 51.08/51.26 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 51.08/51.26 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 51.08/51.26 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 51.08/51.26 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 51.08/51.26 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 51.08/51.26 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 51.08/51.26 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 51.08/51.26 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 51.08/51.26 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 51.08/51.26 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 51.08/51.26 Found a10:=(a1 S):((rel_s5 S) S)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 51.08/51.26 Found (x3 (a1 S)) as proof of False
% 51.08/51.26 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 51.08/51.26 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 51.08/51.26 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 51.08/51.26 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 51.08/51.26 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 51.08/51.26 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 51.08/51.26 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 54.67/54.86 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 54.67/54.86 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 54.67/54.86 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found a10:=(a1 W):((rel_s5 W) W)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (x3 (a1 W)) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 54.67/54.86 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)))
% 54.67/54.86 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 54.67/54.86 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 54.67/54.86 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 54.67/54.86 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 54.67/54.86 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 54.67/54.86 Found a10:=(a1 W):((rel_s5 W) W)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (x3 (a1 W)) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 54.67/54.86 Found a10:=(a1 W):((rel_s5 W) W)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (a1 W) as proof of ((rel_s5 W) V0)
% 54.67/54.86 Found (x3 (a1 W)) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.67/54.86 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 59.53/59.71 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 59.53/59.71 Found a10:=(a1 W):((rel_s5 W) W)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found a10:=(a1 W):((rel_s5 W) W)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (x3 (a1 W)) as proof of False
% 59.53/59.71 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 59.53/59.71 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 59.53/59.71 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 59.53/59.71 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 59.53/59.71 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 59.53/59.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 59.53/59.71 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)))
% 59.53/59.71 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 59.53/59.71 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 59.53/59.71 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 59.53/59.71 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 59.53/59.71 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 59.53/59.71 Found a10:=(a1 W):((rel_s5 W) W)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 59.53/59.71 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 59.53/59.71 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 68.75/68.93 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 68.75/68.93 Found a10:=(a1 W):((rel_s5 W) W)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found a10:=(a1 W):((rel_s5 W) W)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 68.75/68.93 Found (x1 (a1 W)) as proof of False
% 68.75/68.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 68.75/68.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 68.75/68.93 Found a10:=(a1 S):((rel_s5 S) S)
% 68.75/68.93 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.75/68.93 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.75/68.93 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.75/68.93 Found (x1 (a1 S)) as proof of False
% 68.75/68.93 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 68.75/68.93 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 68.75/68.93 Found a10:=(a1 W):((rel_s5 W) W)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.75/68.93 Found x3:(((rel_s5 W) V0)->False)
% 68.75/68.93 Instantiate: V0:=V00:fofType;V:=W:fofType
% 68.75/68.93 Found x3 as proof of (((rel_s5 V) V00)->False)
% 68.75/68.93 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 68.75/68.93 Found ((or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 68.75/68.93 Found (((or_introl (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 68.75/68.93 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 68.75/68.93 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 68.75/68.93 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 68.75/68.93 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 68.75/68.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found a10:=(a1 W):((rel_s5 W) W)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found x3:(((rel_s5 W) V0)->False)
% 74.98/75.23 Instantiate: V0:=V00:fofType
% 74.98/75.23 Found x3 as proof of (((rel_s5 V) V00)->False)
% 74.98/75.23 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 74.98/75.23 Found ((or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 74.98/75.23 Found (((or_introl (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 74.98/75.23 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 74.98/75.23 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 74.98/75.23 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 74.98/75.23 Found a10:=(a1 W):((rel_s5 W) W)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.98/75.23 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 74.98/75.23 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found x2:((rel_s5 V) V0)
% 81.57/81.75 Instantiate: V1:=V0:fofType;V:=W:fofType
% 81.57/81.75 Found x2 as proof of ((rel_s5 W) V1)
% 81.57/81.75 Found (x4 x2) as proof of False
% 81.57/81.75 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 81.57/81.75 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 81.57/81.75 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 81.57/81.75 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 81.57/81.75 Found a10:=(a1 W):((rel_s5 W) W)
% 81.57/81.75 Found (a1 W) as proof of ((rel_s5 W) V1)
% 81.57/81.75 Found (a1 W) as proof of ((rel_s5 W) V1)
% 81.57/81.75 Found (a1 W) as proof of ((rel_s5 W) V1)
% 81.57/81.75 Found (x5 (a1 W)) as proof of False
% 81.57/81.75 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 81.57/81.75 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 81.57/81.75 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 81.57/81.75 Found x2:((rel_s5 V) V0)
% 81.57/81.75 Instantiate: V1:=V0:fofType
% 81.57/81.75 Found x2 as proof of ((rel_s5 W) V1)
% 81.57/81.75 Found (x4 x2) as proof of False
% 81.57/81.75 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 81.57/81.75 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 81.57/81.75 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 84.69/84.93 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 84.69/84.93 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 84.69/84.93 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 84.69/84.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 84.69/84.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 84.69/84.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 84.69/84.93 Found a10:=(a1 W):((rel_s5 W) W)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (x5 (a1 W)) as proof of False
% 84.69/84.93 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 84.69/84.93 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 84.69/84.93 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 84.69/84.93 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 84.69/84.93 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 84.69/84.93 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 84.69/84.93 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 84.69/84.93 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 84.69/84.93 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 84.69/84.93 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 84.69/84.93 Found a10:=(a1 W):((rel_s5 W) W)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 84.69/84.93 Found (x5 (a1 W)) as proof of False
% 84.69/84.93 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 84.69/84.93 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 84.69/84.93 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 84.69/84.93 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 84.69/84.93 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 91.97/92.17 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found a10:=(a1 W):((rel_s5 W) W)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (x5 (a1 W)) as proof of False
% 91.97/92.17 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 91.97/92.17 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 91.97/92.17 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 91.97/92.17 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 91.97/92.17 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 91.97/92.17 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 91.97/92.17 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 91.97/92.17 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 91.97/92.17 Found a10:=(a1 W):((rel_s5 W) W)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (a1 W) as proof of ((rel_s5 W) V1)
% 91.97/92.17 Found (x4 (a1 W)) as proof of False
% 91.97/92.17 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 91.97/92.17 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 91.97/92.17 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 91.97/92.17 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 91.97/92.17 Found (x3 (a1 V0)) as proof of False
% 91.97/92.17 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 91.97/92.17 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 91.97/92.17 Found a10:=(a1 S):((rel_s5 S) S)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (x3 (a1 S)) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 97.59/97.79 Found or_intror10:=(or_intror1 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)))
% 97.59/97.79 Found (or_intror1 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 97.59/97.79 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 97.59/97.79 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 97.59/97.79 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 97.59/97.79 Found a10:=(a1 S):((rel_s5 S) S)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 97.59/97.79 Found a10:=(a1 S):((rel_s5 S) S)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (x3 (a1 S)) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 97.59/97.79 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 97.59/97.79 Found (x3 (a1 V0)) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 97.59/97.79 Found a10:=(a1 W):((rel_s5 W) W)
% 97.59/97.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 97.59/97.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 97.59/97.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 97.59/97.79 Found (x4 (a1 W)) as proof of False
% 97.59/97.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 97.59/97.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 97.59/97.79 Found a10:=(a1 S):((rel_s5 S) S)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 97.59/97.79 Found (x3 (a1 S)) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 97.59/97.79 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 97.59/97.79 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 97.59/97.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 97.59/97.79 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found a10:=(a1 W):((rel_s5 W) W)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (x3 (a1 W)) as proof of False
% 102.65/102.86 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 102.65/102.86 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 102.65/102.86 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 102.65/102.86 Found a10:=(a1 S):((rel_s5 S) S)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found a10:=(a1 S):((rel_s5 S) S)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (a1 S) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (x3 (a1 S)) as proof of False
% 102.65/102.86 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 102.65/102.86 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 102.65/102.86 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 102.65/102.86 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 102.65/102.86 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 102.65/102.86 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 102.65/102.86 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 102.65/102.86 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 102.65/102.86 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 102.65/102.86 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 102.65/102.86 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 102.65/102.86 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 102.65/102.86 Found a10:=(a1 W):((rel_s5 W) W)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (a1 W) as proof of ((rel_s5 W) V1)
% 102.65/102.86 Found (x3 (a1 W)) as proof of False
% 102.65/102.86 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 102.65/102.86 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 102.65/102.86 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 102.65/102.86 Found or_intror10:=(or_intror1 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)))
% 102.65/102.86 Found (or_intror1 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 102.65/102.86 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 102.65/102.86 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 102.65/102.86 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 102.65/102.86 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 114.18/114.38 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 114.18/114.38 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 114.18/114.38 Found a10:=(a1 S):((rel_s5 S) S)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)))
% 114.18/114.38 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 114.18/114.38 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 114.18/114.38 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 114.18/114.38 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 114.18/114.38 Found a10:=(a1 V):((rel_s5 V) V)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V00)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V00)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V00)
% 114.18/114.38 Found (x2 (a1 V)) as proof of False
% 114.18/114.38 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 114.18/114.38 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 114.18/114.38 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 114.18/114.38 Found a10:=(a1 S):((rel_s5 S) S)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V0)
% 114.18/114.38 Found a10:=(a1 S):((rel_s5 S) S)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V)
% 114.18/114.38 Found (a1 S) as proof of ((rel_s5 S) V)
% 114.18/114.38 Found (x1 (a1 S)) as proof of False
% 114.18/114.38 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 114.18/114.38 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 114.18/114.38 Found a10:=(a1 V):((rel_s5 V) V)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V0)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V0)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V0)
% 114.18/114.38 Found (x1 (a1 V)) as proof of False
% 114.18/114.38 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 114.18/114.38 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 114.18/114.38 Found a10:=(a1 V):((rel_s5 V) V)
% 114.18/114.38 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (x1 (a1 V)) as proof of False
% 120.45/120.73 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 120.45/120.73 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 120.45/120.73 Found a10:=(a1 V):((rel_s5 V) V)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 120.45/120.73 Found (x1 (a1 V)) as proof of False
% 120.45/120.73 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 120.45/120.73 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 120.45/120.73 Found a10:=(a1 W):((rel_s5 W) W)
% 120.45/120.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found a10:=(a1 V):((rel_s5 V) V)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V00)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V00)
% 120.45/120.73 Found (a1 V) as proof of ((rel_s5 V) V00)
% 120.45/120.73 Found (x2 (a1 V)) as proof of False
% 120.45/120.73 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 120.45/120.73 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 120.45/120.73 Found a10:=(a1 S):((rel_s5 S) S)
% 120.45/120.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 120.45/120.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 120.45/120.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 120.45/120.73 Found x3:(((rel_s5 S) V0)->False)
% 120.45/120.73 Instantiate: V0:=V00:fofType;V:=S:fofType
% 120.45/120.73 Found x3 as proof of (((rel_s5 V) V00)->False)
% 120.45/120.73 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 120.45/120.73 Found ((or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 120.45/120.73 Found (((or_introl (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 120.45/120.73 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 120.45/120.73 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 120.45/120.73 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 120.45/120.73 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 120.45/120.73 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 120.45/120.73 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 120.45/120.73 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 120.45/120.73 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 120.45/120.73 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 120.45/120.73 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found a10:=(a1 W):((rel_s5 W) W)
% 120.45/120.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 120.45/120.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)))
% 125.55/125.80 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 125.55/125.80 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 125.55/125.80 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 125.55/125.80 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 125.55/125.80 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 125.55/125.80 Found a10:=(a1 W):((rel_s5 W) W)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found a10:=(a1 S):((rel_s5 S) S)
% 125.55/125.80 Found (a1 S) as proof of ((rel_s5 S) V0)
% 125.55/125.80 Found (a1 S) as proof of ((rel_s5 S) V0)
% 125.55/125.80 Found (a1 S) as proof of ((rel_s5 S) V0)
% 125.55/125.80 Found x3:(((rel_s5 S) V0)->False)
% 125.55/125.80 Instantiate: V0:=V00:fofType
% 125.55/125.80 Found x3 as proof of (((rel_s5 V) V00)->False)
% 125.55/125.80 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 125.55/125.80 Found ((or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 125.55/125.80 Found (((or_introl (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 125.55/125.80 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 125.55/125.80 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 125.55/125.80 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 125.55/125.80 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 125.55/125.80 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 125.55/125.80 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 125.55/125.80 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 125.55/125.80 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 125.55/125.80 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 125.55/125.80 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found a10:=(a1 W):((rel_s5 W) W)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 125.55/125.80 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.41/128.65 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 128.41/128.65 Found a10:=(a1 W):((rel_s5 W) W)
% 128.41/128.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.41/128.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.41/128.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.41/128.65 Found (x3 (a1 W)) as proof of False
% 128.41/128.65 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of False
% 128.41/128.65 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V00)
% 128.41/128.65 Found (or_intror10 (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 128.41/128.65 Found ((or_intror1 ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 128.41/128.65 Found (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 128.41/128.65 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 128.41/128.65 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 128.41/128.65 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mdia_s5 (mbox_s5 p))) V)
% 128.41/128.65 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mdia_s5 (mbox_s5 p))) V))
% 128.41/128.65 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 128.41/128.65 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 128.41/128.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 132.35/132.57 Found a10:=(a1 W):((rel_s5 W) W)
% 132.35/132.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 132.35/132.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 132.35/132.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 132.35/132.57 Found x2:((rel_s5 V) V0)
% 132.35/132.57 Instantiate: V1:=V0:fofType;V:=S:fofType
% 132.35/132.57 Found x2 as proof of ((rel_s5 S) V1)
% 132.35/132.57 Found (x4 x2) as proof of False
% 132.35/132.57 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 132.35/132.57 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 132.35/132.57 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 132.35/132.57 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 132.35/132.57 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 132.35/132.57 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 138.25/138.49 Found a10:=(a1 S):((rel_s5 S) S)
% 138.25/138.49 Found (a1 S) as proof of ((rel_s5 S) V1)
% 138.25/138.49 Found (a1 S) as proof of ((rel_s5 S) V1)
% 138.25/138.49 Found (a1 S) as proof of ((rel_s5 S) V1)
% 138.25/138.49 Found (x5 (a1 S)) as proof of False
% 138.25/138.49 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 138.25/138.49 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 138.25/138.49 Found a10:=(a1 W):((rel_s5 W) W)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 138.25/138.49 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 138.25/138.49 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 138.25/138.49 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 138.25/138.49 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 138.25/138.49 Found a10:=(a1 W):((rel_s5 W) W)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found a10:=(a1 W):((rel_s5 W) W)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.25/138.49 Found (x3 (a1 W)) as proof of False
% 138.25/138.49 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of False
% 138.25/138.49 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V00)
% 138.25/138.49 Found (or_intror10 (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 138.25/138.49 Found ((or_intror1 ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 138.25/138.49 Found (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 138.25/138.49 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 138.25/138.49 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 138.25/138.49 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mdia_s5 (mbox_s5 p))) V)
% 138.25/138.49 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mdia_s5 (mbox_s5 p))) V))
% 138.25/138.49 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 138.25/138.49 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 138.25/138.49 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 138.25/138.49 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 143.54/143.85 Found x2:((rel_s5 V) V0)
% 143.54/143.85 Instantiate: V1:=V0:fofType
% 143.54/143.85 Found x2 as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (x4 x2) as proof of False
% 143.54/143.85 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 143.54/143.85 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 143.54/143.85 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 143.54/143.85 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 143.54/143.85 Found a10:=(a1 S):((rel_s5 S) S)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (x5 (a1 S)) as proof of False
% 143.54/143.85 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 143.54/143.85 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 143.54/143.85 Found a10:=(a1 S):((rel_s5 S) S)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (a1 S) as proof of ((rel_s5 S) V1)
% 143.54/143.85 Found (x5 (a1 S)) as proof of False
% 143.54/143.85 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 143.54/143.85 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 150.59/150.87 Found x3:(((rel_s5 W) V0)->False)
% 150.59/150.87 Instantiate: V0:=V00:fofType;V:=W:fofType
% 150.59/150.87 Found x3 as proof of (((rel_s5 V) V00)->False)
% 150.59/150.87 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 150.59/150.87 Found ((or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 150.59/150.87 Found (((or_introl (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 150.59/150.87 Found or_intror10:=(or_intror1 (((rel_s5 W) V2)->False)):((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)))
% 150.59/150.87 Found (or_intror1 (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found a10:=(a1 W):((rel_s5 W) W)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found or_intror10:=(or_intror1 (((rel_s5 W) V2)->False)):((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)))
% 150.59/150.87 Found (or_intror1 (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 150.59/150.87 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 150.59/150.87 Found a10:=(a1 W):((rel_s5 W) W)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 150.59/150.87 Found x2:((rel_s5 V) V0)
% 150.59/150.87 Instantiate: V1:=V0:fofType;V:=W:fofType
% 150.59/150.87 Found x2 as proof of ((rel_s5 W) V1)
% 150.59/150.87 Found (x4 x2) as proof of False
% 150.59/150.87 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 150.59/150.87 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 150.59/150.87 Found a10:=(a1 S):((rel_s5 S) S)
% 150.59/150.87 Found (a1 S) as proof of ((rel_s5 S) V1)
% 150.59/150.87 Found (a1 S) as proof of ((rel_s5 S) V1)
% 150.59/150.87 Found (a1 S) as proof of ((rel_s5 S) V1)
% 150.59/150.87 Found (x5 (a1 S)) as proof of False
% 150.59/150.87 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 161.07/161.31 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 161.07/161.31 Found a10:=(a1 W):((rel_s5 W) W)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found a10:=(a1 W):((rel_s5 W) W)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found x3:(((rel_s5 W) V0)->False)
% 161.07/161.31 Instantiate: V0:=V00:fofType
% 161.07/161.31 Found x3 as proof of (((rel_s5 V) V00)->False)
% 161.07/161.31 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 161.07/161.31 Found ((or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 161.07/161.31 Found (((or_introl (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 161.07/161.31 Found or_intror10:=(or_intror1 (((rel_s5 W) V2)->False)):((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)))
% 161.07/161.31 Found (or_intror1 (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found a10:=(a1 W):((rel_s5 W) W)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found x2:((rel_s5 V) V0)
% 161.07/161.31 Instantiate: V1:=V0:fofType
% 161.07/161.31 Found x2 as proof of ((rel_s5 W) V1)
% 161.07/161.31 Found (x4 x2) as proof of False
% 161.07/161.31 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 161.07/161.31 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 161.07/161.31 Found a10:=(a1 W):((rel_s5 W) W)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found a10:=(a1 W):((rel_s5 W) W)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 161.07/161.31 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 161.07/161.31 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 161.07/161.31 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 161.07/161.31 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 161.07/161.31 Found (x3 (a1 V0)) as proof of False
% 161.07/161.31 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 161.07/161.31 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 161.07/161.31 Found a10:=(a1 S):((rel_s5 S) S)
% 161.07/161.31 Found (a1 S) as proof of ((rel_s5 S) V1)
% 161.07/161.31 Found (a1 S) as proof of ((rel_s5 S) V1)
% 161.07/161.31 Found (a1 S) as proof of ((rel_s5 S) V1)
% 161.07/161.31 Found (x4 (a1 S)) as proof of False
% 161.07/161.31 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 161.07/161.31 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 161.07/161.31 Found or_intror10:=(or_intror1 (((rel_s5 W) V2)->False)):((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)))
% 161.07/161.31 Found (or_intror1 (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 161.07/161.31 Found ((or_intror ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 W) V2)->False)) as proof of ((((rel_s5 W) V2)->False)->((or ((mdia_s5 (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 169.86/170.14 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 169.86/170.14 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 169.86/170.14 Found x2:((rel_s5 V) V0)
% 169.86/170.14 Instantiate: V1:=V0:fofType;V:=W:fofType
% 169.86/170.14 Found x2 as proof of ((rel_s5 W) V1)
% 169.86/170.14 Found (x4 x2) as proof of False
% 169.86/170.14 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 169.86/170.14 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.86/170.14 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 169.86/170.14 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.86/170.14 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.86/170.14 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.86/170.14 Found (x3 (a1 V0)) as proof of False
% 169.86/170.14 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 169.86/170.14 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 169.86/170.14 Found a10:=(a1 S):((rel_s5 S) S)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (x4 (a1 S)) as proof of False
% 169.86/170.14 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 169.86/170.14 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 169.86/170.14 Found a10:=(a1 S):((rel_s5 S) S)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 169.86/170.14 Found (x3 (a1 S)) as proof of False
% 169.86/170.14 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of False
% 169.86/170.14 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of (((mdia rel_s5) (mbox_s5 p)) V0)
% 169.86/170.14 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->(((mdia rel_s5) (mbox_s5 p)) V0))
% 169.86/170.14 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 169.86/170.14 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 176.16/176.44 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 176.16/176.44 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 176.16/176.44 Found x2:((rel_s5 V) V0)
% 176.16/176.44 Instantiate: V1:=V0:fofType
% 176.16/176.44 Found x2 as proof of ((rel_s5 W) V1)
% 176.16/176.44 Found (x4 x2) as proof of False
% 176.16/176.44 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 176.16/176.44 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 176.16/176.44 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 176.16/176.44 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 176.16/176.44 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 176.16/176.44 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 176.16/176.44 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 176.16/176.44 Found a10:=(a1 S):((rel_s5 S) S)
% 176.16/176.44 Found (a1 S) as proof of ((rel_s5 S) V1)
% 176.16/176.44 Found (a1 S) as proof of ((rel_s5 S) V1)
% 176.16/176.44 Found (a1 S) as proof of ((rel_s5 S) V1)
% 176.16/176.44 Found (x3 (a1 S)) as proof of False
% 176.16/176.44 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of False
% 176.16/176.44 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of (((mdia rel_s5) (mbox_s5 p)) V0)
% 176.16/176.44 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->(((mdia rel_s5) (mbox_s5 p)) V0))
% 176.16/176.44 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 176.16/176.44 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 176.16/176.44 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 176.16/176.44 Found (x3 (a1 V0)) as proof of False
% 176.16/176.44 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 176.16/176.44 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 181.50/181.79 Found a10:=(a1 W):((rel_s5 W) W)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (x4 (a1 W)) as proof of False
% 181.50/181.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 181.50/181.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 181.50/181.79 Found a10:=(a1 W):((rel_s5 W) W)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (a1 W) as proof of ((rel_s5 W) V1)
% 181.50/181.79 Found (x5 (a1 W)) as proof of False
% 181.50/181.79 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 181.50/181.79 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 181.50/181.79 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 181.50/181.79 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 181.50/181.79 Found a10:=(a1 V):((rel_s5 V) V)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V00)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V00)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V00)
% 181.50/181.79 Found (x2 (a1 V)) as proof of False
% 181.50/181.79 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 181.50/181.79 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 181.50/181.79 Found a10:=(a1 V):((rel_s5 V) V)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (x1 (a1 V)) as proof of False
% 181.50/181.79 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 181.50/181.79 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 181.50/181.79 Found a10:=(a1 V):((rel_s5 V) V)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (a1 V) as proof of ((rel_s5 V) V0)
% 181.50/181.79 Found (x1 (a1 V)) as proof of False
% 181.50/181.79 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 181.50/181.79 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 181.50/181.79 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 181.50/181.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 181.50/181.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 181.50/181.79 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 181.50/181.79 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 181.50/181.79 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 188.31/188.57 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 188.31/188.57 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 188.31/188.57 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 188.31/188.57 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 188.31/188.57 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 188.31/188.57 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 188.31/188.57 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 188.31/188.57 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 188.31/188.57 Found (x3 (a1 V0)) as proof of False
% 188.31/188.57 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 188.31/188.57 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 188.31/188.57 Found a10:=(a1 W):((rel_s5 W) W)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (x4 (a1 W)) as proof of False
% 188.31/188.57 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 188.31/188.57 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 188.31/188.57 Found a10:=(a1 W):((rel_s5 W) W)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (x3 (a1 W)) as proof of False
% 188.31/188.57 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 188.31/188.57 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 188.31/188.57 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 188.31/188.57 Found a10:=(a1 W):((rel_s5 W) W)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (x5 (a1 W)) as proof of False
% 188.31/188.57 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 188.31/188.57 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 188.31/188.57 Found a10:=(a1 W):((rel_s5 W) W)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (a1 W) as proof of ((rel_s5 W) V1)
% 188.31/188.57 Found (x5 (a1 W)) as proof of False
% 188.31/188.57 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 188.31/188.57 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 188.31/188.57 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mdia_s5 (mbox_s5 p)) V1)))
% 188.31/188.57 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 192.88/193.22 Found a10:=(a1 V):((rel_s5 V) V)
% 192.88/193.22 Found (a1 V) as proof of ((rel_s5 V) V00)
% 192.88/193.22 Found (a1 V) as proof of ((rel_s5 V) V00)
% 192.88/193.22 Found (a1 V) as proof of ((rel_s5 V) V00)
% 192.88/193.22 Found (x2 (a1 V)) as proof of False
% 192.88/193.22 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 192.88/193.22 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 192.88/193.22 Found or_intror00:=(or_intror0 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)))
% 192.88/193.22 Found (or_intror0 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 192.88/193.22 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 192.88/193.22 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 192.88/193.22 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 192.88/193.22 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 192.88/193.22 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 192.88/193.22 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 192.88/193.22 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 192.88/193.22 Found (x3 (a1 V0)) as proof of False
% 192.88/193.22 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 192.88/193.22 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 192.88/193.22 Found a10:=(a1 W):((rel_s5 W) W)
% 192.88/193.22 Found (a1 W) as proof of ((rel_s5 W) V1)
% 192.88/193.22 Found (a1 W) as proof of ((rel_s5 W) V1)
% 192.88/193.22 Found (a1 W) as proof of ((rel_s5 W) V1)
% 192.88/193.22 Found (x4 (a1 W)) as proof of False
% 192.88/193.22 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 192.88/193.22 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 192.88/193.22 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found ((or_introl (((rel_s5 W) V2)->False)) ((mdia_s5 (mbox_s5 p)) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 192.88/193.22 Found a10:=(a1 S):((rel_s5 S) S)
% 192.88/193.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.88/193.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.88/193.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.88/193.22 Found a10:=(a1 W):((rel_s5 W) W)
% 192.88/193.22 Found (a1 W) as proof of ((rel_s5 W) V1)
% 192.88/193.22 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (x3 (a1 W)) as proof of False
% 203.39/203.74 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 203.39/203.74 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 203.39/203.74 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 203.39/203.74 Found a10:=(a1 V):((rel_s5 V) V)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (x1 (a1 V)) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 203.39/203.74 Found a10:=(a1 W):((rel_s5 W) W)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (x5 (a1 W)) as proof of False
% 203.39/203.74 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 203.39/203.74 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 203.39/203.74 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 203.39/203.74 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found a10:=(a1 W):((rel_s5 W) W)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (x4 (a1 W)) as proof of False
% 203.39/203.74 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 203.39/203.74 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 203.39/203.74 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 203.39/203.74 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 203.39/203.74 Found (x3 (a1 V0)) as proof of False
% 203.39/203.74 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 203.39/203.74 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 203.39/203.74 Found a10:=(a1 S):((rel_s5 S) S)
% 203.39/203.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 203.39/203.74 Found a10:=(a1 W):((rel_s5 W) W)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (a1 W) as proof of ((rel_s5 W) V1)
% 203.39/203.74 Found (x3 (a1 W)) as proof of False
% 203.39/203.74 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 203.39/203.74 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 203.39/203.74 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 203.39/203.74 Found x4:((rel_s5 V) V0)
% 203.39/203.74 Instantiate: V2:=V0:fofType;V:=W:fofType
% 203.39/203.74 Found x4 as proof of ((rel_s5 W) V2)
% 203.39/203.74 Found (x6 x4) as proof of False
% 203.39/203.74 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of False
% 203.39/203.74 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s5 W) V2)->False)->False)
% 203.39/203.74 Found a10:=(a1 V):((rel_s5 V) V)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (x1 (a1 V)) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 203.39/203.74 Found a10:=(a1 V):((rel_s5 V) V)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 203.39/203.74 Found (x1 (a1 V)) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 203.39/203.74 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 210.47/210.76 Found a10:=(a1 V):((rel_s5 V) V)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (x1 (a1 V)) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 210.47/210.76 Found a10:=(a1 V):((rel_s5 V) V)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (x1 (a1 V)) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 210.47/210.76 Found or_intror00:=(or_intror0 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)))
% 210.47/210.76 Found (or_intror0 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 210.47/210.76 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 210.47/210.76 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 210.47/210.76 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 210.47/210.76 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 210.47/210.76 Found a10:=(a1 V):((rel_s5 V) V)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (x1 (a1 V)) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 210.47/210.76 Found a10:=(a1 S):((rel_s5 S) S)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found a10:=(a1 V):((rel_s5 V) V)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (a1 V) as proof of ((rel_s5 V) V0)
% 210.47/210.76 Found (x1 (a1 V)) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 210.47/210.76 Found (fun (x1:(((rel_s5 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 210.47/210.76 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 210.47/210.76 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 210.47/210.76 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 210.47/210.76 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 210.47/210.76 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found a10:=(a1 W):((rel_s5 W) W)
% 210.47/210.76 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.47/210.76 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.47/210.76 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.47/210.76 Found (x3 (a1 W)) as proof of False
% 210.47/210.76 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of False
% 210.47/210.76 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 210.47/210.76 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 210.47/210.76 Found a10:=(a1 S):((rel_s5 S) S)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.47/210.76 Found x4:((rel_s5 V) V0)
% 210.47/210.76 Instantiate: V2:=V0:fofType
% 210.47/210.76 Found x4 as proof of ((rel_s5 W) V2)
% 210.47/210.76 Found (x6 x4) as proof of False
% 210.47/210.76 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of False
% 210.47/210.76 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s5 W) V2)->False)->False)
% 210.47/210.76 Found x4:((rel_s5 V) V0)
% 210.47/210.76 Instantiate: V2:=V0:fofType
% 212.91/213.24 Found x4 as proof of ((rel_s5 W) V2)
% 212.91/213.24 Found (x6 x4) as proof of False
% 212.91/213.24 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of False
% 212.91/213.24 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s5 W) V2)->False)->False)
% 212.91/213.24 Found a10:=(a1 S):((rel_s5 S) S)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found a10:=(a1 S):((rel_s5 S) S)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 212.91/213.24 Found (x3 (a1 S)) as proof of False
% 212.91/213.24 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))) as proof of False
% 212.91/213.24 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))) as proof of (((mdia rel_s5) (mbox_s5 p)) V00)
% 212.91/213.24 Found (or_intror10 (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 212.91/213.24 Found ((or_intror1 (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 212.91/213.24 Found (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 212.91/213.24 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 212.91/213.24 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 212.91/213.24 Found (fun (x3:(((rel_s5 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((mbox_s5 ((mdia rel_s5) (mbox_s5 p))) V)
% 212.91/213.24 Found (fun (x3:(((rel_s5 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((((rel_s5 S) V0)->False)->((mbox_s5 ((mdia rel_s5) (mbox_s5 p))) V))
% 212.91/213.24 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 212.91/213.24 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 224.59/224.88 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 224.59/224.88 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 224.59/224.88 Found a10:=(a1 S):((rel_s5 S) S)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 V0) V3)->False)->((or (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 224.59/224.88 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 224.59/224.88 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 224.59/224.88 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 224.59/224.88 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 224.59/224.88 Found a10:=(a1 S):((rel_s5 S) S)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found x4:((rel_s5 V) V0)
% 224.59/224.88 Instantiate: V2:=V0:fofType
% 224.59/224.88 Found x4 as proof of ((rel_s5 W) V2)
% 224.59/224.88 Found (x6 x4) as proof of False
% 224.59/224.88 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of False
% 224.59/224.88 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s5 W) V2)->False)->False)
% 224.59/224.88 Found a10:=(a1 S):((rel_s5 S) S)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (a1 S) as proof of ((rel_s5 S) V0)
% 224.59/224.88 Found (x3 (a1 S)) as proof of False
% 224.59/224.88 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))) as proof of False
% 224.59/224.88 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))) as proof of (((mdia rel_s5) (mbox_s5 p)) V00)
% 224.59/224.88 Found (or_intror10 (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 224.59/224.88 Found ((or_intror1 (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 224.59/224.88 Found (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 224.59/224.88 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 224.59/224.88 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 224.59/224.88 Found (fun (x3:(((rel_s5 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((mbox_s5 ((mdia rel_s5) (mbox_s5 p))) V)
% 224.59/224.88 Found (fun (x3:(((rel_s5 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V00))=> (x3 (a1 S))))) as proof of ((((rel_s5 S) V0)->False)->((mbox_s5 ((mdia rel_s5) (mbox_s5 p))) V))
% 224.59/224.88 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found or_introl00:=(or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found (or_introl0 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 235.09/235.36 Found a10:=(a1 V):((rel_s5 V) V)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (x2 (a1 V)) as proof of False
% 235.09/235.36 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 235.09/235.36 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 235.09/235.36 Found a10:=(a1 V):((rel_s5 V) V)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (a1 V) as proof of ((rel_s5 V) V00)
% 235.09/235.36 Found (x2 (a1 V)) as proof of False
% 235.09/235.36 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 235.09/235.36 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 235.09/235.36 Found a10:=(a1 S):((rel_s5 S) S)
% 235.09/235.36 Found (a1 S) as proof of ((rel_s5 S) V0)
% 235.09/235.36 Found (a1 S) as proof of ((rel_s5 S) V0)
% 235.09/235.36 Found (a1 S) as proof of ((rel_s5 S) V0)
% 235.09/235.36 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 V0) V3)->False)->((or (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 235.09/235.36 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 235.09/235.36 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 235.09/235.36 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 235.09/235.36 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 235.09/235.36 Found or_intror10:=(or_intror1 (((rel_s5 S) V2)->False)):((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)))
% 235.09/235.36 Found (or_intror1 (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 235.09/235.36 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 235.09/235.36 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 235.09/235.36 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 243.29/243.62 Found or_intror10:=(or_intror1 (((rel_s5 S) V2)->False)):((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)))
% 243.29/243.62 Found (or_intror1 (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 243.29/243.62 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 243.29/243.62 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 243.29/243.62 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 243.29/243.62 Found x3:(((rel_s5 S) V0)->False)
% 243.29/243.62 Instantiate: V0:=V00:fofType;V:=S:fofType
% 243.29/243.62 Found x3 as proof of (((rel_s5 V) V00)->False)
% 243.29/243.62 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 243.29/243.62 Found ((or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 243.29/243.62 Found (((or_introl (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 243.29/243.62 Found a10:=(a1 S):((rel_s5 S) S)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found a10:=(a1 S):((rel_s5 S) S)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found (a1 S) as proof of ((rel_s5 S) V0)
% 243.29/243.62 Found a10:=(a1 V):((rel_s5 V) V)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (x2 (a1 V)) as proof of False
% 243.29/243.62 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 243.29/243.62 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 243.29/243.62 Found a10:=(a1 V):((rel_s5 V) V)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (a1 V) as proof of ((rel_s5 V) V00)
% 243.29/243.62 Found (x2 (a1 V)) as proof of False
% 243.29/243.62 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of False
% 243.29/243.62 Found (fun (x2:(((rel_s5 V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 243.29/243.62 Found a10:=(a1 W):((rel_s5 W) W)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.29/243.62 Found x2:((rel_s5 V) V0)
% 243.29/243.62 Instantiate: V1:=V0:fofType;V:=S:fofType
% 243.29/243.62 Found x2 as proof of ((rel_s5 S) V1)
% 243.29/243.62 Found (x4 x2) as proof of False
% 243.29/243.62 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 243.29/243.62 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 243.29/243.62 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 243.29/243.62 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 243.29/243.62 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 243.29/243.62 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 243.29/243.62 Found (x5 (a1 V0)) as proof of False
% 243.29/243.62 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 243.29/243.62 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s5 V0) V2)->False)->False)
% 243.29/243.62 Found a10:=(a1 W):((rel_s5 W) W)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V2)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V2)
% 243.29/243.62 Found (a1 W) as proof of ((rel_s5 W) V2)
% 243.29/243.62 Found (x6 (a1 W)) as proof of False
% 243.29/243.62 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 243.29/243.62 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->False)
% 243.29/243.62 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 W) V3)->False)->((or (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 243.29/243.62 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 243.29/243.62 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found a10:=(a1 S):((rel_s5 S) S)
% 246.23/246.52 Found (a1 S) as proof of ((rel_s5 S) V0)
% 246.23/246.52 Found (a1 S) as proof of ((rel_s5 S) V0)
% 246.23/246.52 Found (a1 S) as proof of ((rel_s5 S) V0)
% 246.23/246.52 Found a10:=(a1 W):((rel_s5 W) W)
% 246.23/246.52 Found (a1 W) as proof of ((rel_s5 W) V0)
% 246.23/246.52 Found (a1 W) as proof of ((rel_s5 W) V0)
% 246.23/246.52 Found (a1 W) as proof of ((rel_s5 W) V0)
% 246.23/246.52 Found or_intror10:=(or_intror1 (((rel_s5 S) V2)->False)):((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)))
% 246.23/246.52 Found (or_intror1 (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 246.23/246.52 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 246.23/246.52 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 246.23/246.52 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 246.23/246.52 Found x3:(((rel_s5 S) V0)->False)
% 246.23/246.52 Instantiate: V0:=V00:fofType
% 246.23/246.52 Found x3 as proof of (((rel_s5 V) V00)->False)
% 246.23/246.52 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 246.23/246.52 Found ((or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 246.23/246.52 Found (((or_introl (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00))
% 246.23/246.52 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 W) V3)->False)->((or (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 V0) V3)->False)->((or (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 246.23/246.52 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found a10:=(a1 S):((rel_s5 S) S)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found a10:=(a1 S):((rel_s5 S) S)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found a10:=(a1 W):((rel_s5 W) W)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.90/254.22 Found x2:((rel_s5 V) V0)
% 253.90/254.22 Instantiate: V1:=V0:fofType
% 253.90/254.22 Found x2 as proof of ((rel_s5 S) V1)
% 253.90/254.22 Found (x4 x2) as proof of False
% 253.90/254.22 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 253.90/254.22 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 253.90/254.22 Found a10:=(a1 W):((rel_s5 W) W)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (x6 (a1 W)) as proof of False
% 253.90/254.22 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 253.90/254.22 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->False)
% 253.90/254.22 Found a10:=(a1 W):((rel_s5 W) W)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (x6 (a1 W)) as proof of False
% 253.90/254.22 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 253.90/254.22 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->False)
% 253.90/254.22 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (x5 (a1 V0)) as proof of False
% 253.90/254.22 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 253.90/254.22 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s5 V0) V2)->False)->False)
% 253.90/254.22 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 253.90/254.22 Found (x5 (a1 V0)) as proof of False
% 253.90/254.22 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 253.90/254.22 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s5 V0) V2)->False)->False)
% 253.90/254.22 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 W) V3)->False)->((or (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 253.90/254.22 Found a10:=(a1 W):((rel_s5 W) W)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (a1 W) as proof of ((rel_s5 W) V2)
% 253.90/254.22 Found (x5 (a1 W)) as proof of False
% 253.90/254.22 Found (fun (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of False
% 253.90/254.22 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 253.90/254.22 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 253.90/254.22 Found a10:=(a1 S):((rel_s5 S) S)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.90/254.22 Found (a1 S) as proof of ((rel_s5 S) V0)
% 259.08/259.37 Found a10:=(a1 W):((rel_s5 W) W)
% 259.08/259.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 259.08/259.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 259.08/259.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 259.08/259.37 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 V0) V3)->False)->((or (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 V0) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 V0) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found or_introl00:=(or_introl0 ((mdia_s5 (mbox_s5 p)) V2)):((((rel_s5 W) V3)->False)->((or (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found (or_introl0 ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found ((or_introl (((rel_s5 W) V3)->False)) ((mdia_s5 (mbox_s5 p)) V2)) as proof of ((((rel_s5 W) V3)->False)->((or (((rel_s5 V1) V2)->False)) ((mdia_s5 (mbox_s5 p)) V2)))
% 259.08/259.37 Found or_intror10:=(or_intror1 (((rel_s5 S) V2)->False)):((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)))
% 259.08/259.37 Found (or_intror1 (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 259.08/259.37 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 259.08/259.37 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 259.08/259.37 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 259.08/259.37 Found ((or_intror (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 S) V2)->False)) as proof of ((((rel_s5 S) V2)->False)->((or (((mdia rel_s5) (mbox_s5 p)) V0)) (((rel_s5 V) V0)->False)))
% 259.08/259.37 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 259.08/259.37 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 259.08/259.37 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 259.08/259.37 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 259.08/259.37 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 259.08/259.37 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 261.38/261.70 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 261.38/261.70 Found a10:=(a1 W):((rel_s5 W) W)
% 261.38/261.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.38/261.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.38/261.70 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.38/261.70 Found (x3 (a1 W)) as proof of False
% 261.38/261.70 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of False
% 261.38/261.70 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V00)
% 261.38/261.70 Found (or_intror00 (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 261.38/261.70 Found ((or_intror0 ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 261.38/261.70 Found (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 261.38/261.70 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 261.38/261.70 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 261.38/261.70 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mdia_s5 (mbox_s5 p))) V)
% 261.38/261.70 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mdia_s5 (mbox_s5 p))) V))
% 261.38/261.70 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 261.38/261.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 270.89/271.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 270.89/271.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 270.89/271.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 270.89/271.20 Found x2:((rel_s5 V) V0)
% 270.89/271.20 Instantiate: V1:=V0:fofType;V:=S:fofType
% 270.89/271.20 Found x2 as proof of ((rel_s5 S) V1)
% 270.89/271.20 Found (x4 x2) as proof of False
% 270.89/271.20 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 270.89/271.20 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 270.89/271.20 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 270.89/271.20 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 270.89/271.20 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 270.89/271.20 Found (a1 V0) as proof of ((rel_s5 V0) V2)
% 270.89/271.20 Found (x5 (a1 V0)) as proof of False
% 270.89/271.20 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 270.89/271.20 Found (fun (x5:(((rel_s5 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s5 V0) V2)->False)->False)
% 270.89/271.20 Found a10:=(a1 W):((rel_s5 W) W)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (x6 (a1 W)) as proof of False
% 270.89/271.20 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 270.89/271.20 Found (fun (x6:(((rel_s5 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->False)
% 270.89/271.20 Found a10:=(a1 W):((rel_s5 W) W)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (x5 (a1 W)) as proof of False
% 270.89/271.20 Found (fun (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of False
% 270.89/271.20 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 270.89/271.20 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 270.89/271.20 Found a10:=(a1 W):((rel_s5 W) W)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (a1 W) as proof of ((rel_s5 W) V2)
% 270.89/271.20 Found (x5 (a1 W)) as proof of False
% 270.89/271.20 Found (fun (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of False
% 270.89/271.20 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 270.89/271.20 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 270.89/271.20 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 270.89/271.20 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 270.89/271.20 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 270.89/271.20 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 270.89/271.20 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 270.89/271.20 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 270.89/271.20 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 270.89/271.20 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 272.82/273.17 Found a10:=(a1 W):((rel_s5 W) W)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found a10:=(a1 W):((rel_s5 W) W)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 272.82/273.17 Found (x3 (a1 W)) as proof of False
% 272.82/273.17 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of False
% 272.82/273.17 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V00)
% 272.82/273.17 Found (or_intror00 (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 272.82/273.17 Found ((or_intror0 ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 272.82/273.17 Found (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 272.82/273.17 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00))
% 272.82/273.17 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mdia_s5 (mbox_s5 p)) V0)))
% 272.82/273.17 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mdia_s5 (mbox_s5 p))) V)
% 272.82/273.17 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)) (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mdia_s5 (mbox_s5 p))) V))
% 272.82/273.17 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found or_introl10:=(or_introl1 ((mdia_s5 (mbox_s5 p)) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found (or_introl1 ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 272.82/273.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mdia_s5 (mbox_s5 p)) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mdia_s5 (mbox_s5 p)) V00)))
% 282.59/282.92 Found x2:((rel_s5 V) V0)
% 282.59/282.92 Instantiate: V1:=V0:fofType
% 282.59/282.92 Found x2 as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (x4 x2) as proof of False
% 282.59/282.92 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of False
% 282.59/282.92 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 S) V1)->False)->False)
% 282.59/282.92 Found a10:=(a1 W):((rel_s5 W) W)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V2)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V2)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V2)
% 282.59/282.92 Found (x5 (a1 W)) as proof of False
% 282.59/282.92 Found (fun (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of False
% 282.59/282.92 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 282.59/282.92 Found (fun (x5:(((rel_s5 W) V2)->False)) (x6:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V2)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 282.59/282.92 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 282.59/282.92 Found a10:=(a1 W):((rel_s5 W) W)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 282.59/282.92 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 282.59/282.92 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 282.59/282.92 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 282.59/282.92 Found (x3 (a1 V0)) as proof of False
% 282.59/282.92 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 282.59/282.92 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 282.59/282.92 Found a10:=(a1 S):((rel_s5 S) S)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (x4 (a1 S)) as proof of False
% 282.59/282.92 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 282.59/282.92 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 282.59/282.92 Found a10:=(a1 W):((rel_s5 W) W)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 282.59/282.92 Found a10:=(a1 S):((rel_s5 S) S)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (a1 S) as proof of ((rel_s5 S) V1)
% 282.59/282.92 Found (x5 (a1 S)) as proof of False
% 282.59/282.92 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 282.59/282.92 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 290.31/290.68 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 290.31/290.68 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 290.31/290.68 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 290.31/290.68 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 290.31/290.68 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 290.31/290.68 Found a10:=(a1 W):((rel_s5 W) W)
% 290.31/290.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.31/290.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.31/290.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.31/290.68 Found a10:=(a1 S):((rel_s5 S) S)
% 290.31/290.68 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.31/290.68 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.31/290.68 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.31/290.68 Found (x4 (a1 S)) as proof of False
% 290.31/290.68 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 290.31/290.68 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 290.31/290.68 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 290.31/290.68 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 290.31/290.68 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 290.31/290.68 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 290.31/290.68 Found (x3 (a1 V0)) as proof of False
% 290.31/290.68 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 290.31/290.68 Found (fun (x3:(((rel_s5 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 290.31/290.68 Found x2:((rel_s5 V) V0)
% 290.31/290.68 Instantiate: V1:=V0:fofType;V:=W:fofType
% 290.31/290.68 Found x2 as proof of ((rel_s5 W) V1)
% 290.31/290.68 Found (x4 x2) as proof of False
% 290.31/290.68 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 299.52/299.93 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 299.52/299.93 Found a10:=(a1 S):((rel_s5 S) S)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (x5 (a1 S)) as proof of False
% 299.52/299.93 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 299.52/299.93 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 299.52/299.93 Found a10:=(a1 S):((rel_s5 S) S)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (x5 (a1 S)) as proof of False
% 299.52/299.93 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 299.52/299.93 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 299.52/299.93 Found a10:=(a1 S):((rel_s5 S) S)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (a1 S) as proof of ((rel_s5 S) V1)
% 299.52/299.93 Found (x3 (a1 S)) as proof of False
% 299.52/299.93 Found (fun (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of False
% 299.52/299.93 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of (((mdia rel_s5) (mbox_s5 p)) V0)
% 299.52/299.93 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mbox rel_s5) (mnot (mbox_s5 p))) V0))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->(((mdia rel_s5) (mbox_s5 p)) V0))
% 299.52/299.93 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) (((mdia rel_s5) (mbox_s5 p)) V00)))
% 299.52/299.93 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) (((mdia rel_s5) (mbox_s5 p)) V1)))
% 299.52/299.93 Found or_introl10:=(or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 299.52/299.93 Found (or_introl1 (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) (((mdia rel_s5) (mbox_s5 p)) V0)))
% 299.52/299.93 Found ((or_introl (((rel_s5 S) V2)->
%------------------------------------------------------------------------------