TSTP Solution File: SYO459^4 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO459^4 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 290.03s 290.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO459^4 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n011.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 22:04:11 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.44/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.44/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89fe18>, <kernel.Type object at 0x89fd88>) of role type named mu_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mu:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89f5f0>, <kernel.DependentProduct object at 0x89fe18>) of role type named meq_ind_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.44/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.44/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89fb90>, <kernel.DependentProduct object at 0x89fab8>) of role type named meq_prop_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.44/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89fcb0>, <kernel.DependentProduct object at 0x8c13b0>) of role type named mnot_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.44/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89f9e0>, <kernel.DependentProduct object at 0x8c1248>) of role type named mor_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.44/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89f9e0>, <kernel.DependentProduct object at 0x8c1e18>) of role type named mand_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.44/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x89fe18>, <kernel.DependentProduct object at 0x8c10e0>) of role type named mimplies_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.44/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c10e0>, <kernel.DependentProduct object at 0x8c13b0>) of role type named mimplied_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.46/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c13b0>, <kernel.DependentProduct object at 0x8c1e18>) of role type named mequiv_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.46/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c1e18>, <kernel.DependentProduct object at 0x8c1f80>) of role type named mxor_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.46/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c1440>, <kernel.DependentProduct object at 0x8c13b0>) of role type named mforall_ind_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.46/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.46/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c13b0>, <kernel.DependentProduct object at 0x8c1098>) of role type named mforall_prop_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.46/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.46/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x8c1098>, <kernel.DependentProduct object at 0x8c1b00>) of role type named mexists_ind_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.46/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.46/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0d52d033b0>, <kernel.DependentProduct object at 0x8c1098>) of role type named mexists_prop_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.64 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.46/0.64 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.46/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0d52d03098>, <kernel.DependentProduct object at 0x8c1e18>) of role type named mtrue_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mtrue:(fofType->Prop)
% 0.46/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.46/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.46/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x8c1e18>, <kernel.DependentProduct object at 0x8c1b90>) of role type named mfalse_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mfalse:(fofType->Prop)
% 0.46/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.46/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.46/0.64 Defined: mfalse:=(mnot mtrue)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x8c1b00>, <kernel.DependentProduct object at 0x8c1098>) of role type named mbox_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.46/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.46/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x8c1098>, <kernel.DependentProduct object at 0x8c1488>) of role type named mdia_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.46/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.46/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x8c1128>, <kernel.DependentProduct object at 0x8c1a70>) of role type named mreflexive_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.46/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.46/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x8c1a70>, <kernel.DependentProduct object at 0x8c1440>) of role type named msymmetric_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.46/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x8c1440>, <kernel.DependentProduct object at 0x8c1128>) of role type named mserial_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.46/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x8c1128>, <kernel.DependentProduct object at 0x8c1a70>) of role type named mtransitive_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.46/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x8c1b90>, <kernel.DependentProduct object at 0x8c2ab8>) of role type named meuclidean_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.46/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x8c1b00>, <kernel.DependentProduct object at 0x8c2ef0>) of role type named mpartially_functional_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.46/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.46/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.46/0.65 FOF formula (<kernel.Constant object at 0x8c1b00>, <kernel.DependentProduct object at 0x8c2ab8>) of role type named mfunctional_type
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.46/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x8c1b00>, <kernel.DependentProduct object at 0x8c2098>) of role type named mweakly_dense_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.46/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x8c2098>, <kernel.DependentProduct object at 0x8c2c68>) of role type named mweakly_connected_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.46/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x8c2c68>, <kernel.DependentProduct object at 0x8c2440>) of role type named mweakly_directed_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.46/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.46/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x8c2b00>, <kernel.DependentProduct object at 0x8c2ef0>) of role type named mvalid_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.46/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.46/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.46/0.66 FOF formula (<kernel.Constant object at 0x8c2c68>, <kernel.DependentProduct object at 0x2b0d4b24b200>) of role type named minvalid_type
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.46/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.46/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.46/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x8c2c68>, <kernel.DependentProduct object at 0x2b0d4b24b560>) of role type named msatisfiable_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.46/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.46/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.46/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2b0d4b24b3f8>, <kernel.DependentProduct object at 0x2b0d4b24b638>) of role type named mcountersatisfiable_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.46/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.46/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.46/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.46/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^4.ax, trying next directory
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2b0d52d1b3f8>, <kernel.DependentProduct object at 0x89fd88>) of role type named rel_b_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring rel_b:(fofType->(fofType->Prop))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2b0d52d1b3f8>, <kernel.DependentProduct object at 0x89f908>) of role type named mbox_b_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring mbox_b:((fofType->Prop)->(fofType->Prop))
% 0.46/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_b) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V))))) of role definition named mbox_b
% 0.46/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_b) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V)))))
% 0.46/0.67 Defined: mbox_b:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V))))
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x2b0d52d033b0>, <kernel.DependentProduct object at 0x89fa28>) of role type named mdia_b_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring mdia_b:((fofType->Prop)->(fofType->Prop))
% 0.46/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_b) (fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi))))) of role definition named mdia_b
% 0.46/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_b) (fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi)))))
% 0.46/0.67 Defined: mdia_b:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi))))
% 0.46/0.67 FOF formula (mreflexive rel_b) of role axiom named a1
% 0.46/0.67 A new axiom: (mreflexive rel_b)
% 0.46/0.67 FOF formula (msymmetric rel_b) of role axiom named a2
% 0.46/0.67 A new axiom: (msymmetric rel_b)
% 0.46/0.67 FOF formula (<kernel.Constant object at 0x8bcc68>, <kernel.DependentProduct object at 0x2b0d52d1eb00>) of role type named p_type
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring p:(fofType->Prop)
% 0.46/0.67 FOF formula (mvalid ((mimplies (mdia_b (mbox_b p))) (mdia_b (mbox_b (mdia_b (mbox_b p)))))) of role conjecture named prove
% 0.46/0.67 Conjecture to prove = (mvalid ((mimplies (mdia_b (mbox_b p))) (mdia_b (mbox_b (mdia_b (mbox_b p)))))):Prop
% 0.46/0.67 Parameter mu_DUMMY:mu.
% 0.46/0.67 Parameter fofType_DUMMY:fofType.
% 0.46/0.67 We need to prove ['(mvalid ((mimplies (mdia_b (mbox_b p))) (mdia_b (mbox_b (mdia_b (mbox_b p))))))']
% 0.46/0.67 Parameter mu:Type.
% 0.46/0.67 Parameter fofType:Type.
% 0.46/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.46/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.46/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.46/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.46/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67 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).
% 4.10/4.27 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.10/4.27 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.10/4.27 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.10/4.27 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.10/4.27 Parameter rel_b:(fofType->(fofType->Prop)).
% 4.10/4.27 Definition mbox_b:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.10/4.27 Definition mdia_b:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.10/4.27 Axiom a1:(mreflexive rel_b).
% 4.10/4.27 Axiom a2:(msymmetric rel_b).
% 4.10/4.27 Parameter p:(fofType->Prop).
% 4.10/4.27 Trying to prove (mvalid ((mimplies (mdia_b (mbox_b p))) (mdia_b (mbox_b (mdia_b (mbox_b p))))))
% 4.10/4.27 Found a10:=(a1 W):((rel_b W) W)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (x1 (a1 W)) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.10/4.27 Found a10:=(a1 S):((rel_b S) S)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (x1 (a1 S)) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 4.10/4.27 Found a10:=(a1 W):((rel_b W) W)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (a1 W) as proof of ((rel_b W) V)
% 4.10/4.27 Found (x1 (a1 W)) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.10/4.27 Found a10:=(a1 S):((rel_b S) S)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (a1 S) as proof of ((rel_b S) V)
% 4.10/4.27 Found (x1 (a1 S)) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.10/4.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 4.10/4.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 4.10/4.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 8.95/9.16 Found a10:=(a1 W):((rel_b W) W)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (x3 (a1 W)) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 8.95/9.16 Found a10:=(a1 W):((rel_b W) W)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V0)
% 8.95/9.16 Found (x3 (a1 W)) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 8.95/9.16 Found a10:=(a1 W):((rel_b W) W)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (x1 (a1 W)) as proof of False
% 8.95/9.16 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.95/9.16 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 8.95/9.16 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found a10:=(a1 W):((rel_b W) W)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (a1 W) as proof of ((rel_b W) V)
% 8.95/9.16 Found (x1 (a1 W)) as proof of False
% 8.95/9.16 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.95/9.16 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 8.95/9.16 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 8.95/9.16 Found a10:=(a1 S):((rel_b S) S)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (x3 (a1 S)) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 8.95/9.16 Found a10:=(a1 S):((rel_b S) S)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (a1 S) as proof of ((rel_b S) V0)
% 8.95/9.16 Found (x3 (a1 S)) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 8.95/9.16 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 15.32/15.49 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 15.32/15.49 Found a10:=(a1 W):((rel_b W) W)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (x3 (a1 W)) as proof of False
% 15.32/15.49 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 15.32/15.49 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 15.32/15.49 Found a10:=(a1 W):((rel_b W) W)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V0)
% 15.32/15.49 Found (x3 (a1 W)) as proof of False
% 15.32/15.49 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 15.32/15.49 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 15.32/15.49 Found a10:=(a1 S):((rel_b S) S)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (x1 (a1 S)) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 15.32/15.49 Found a10:=(a1 W):((rel_b W) W)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (x1 (a1 W)) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 15.32/15.49 Found a10:=(a1 S):((rel_b S) S)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (a1 S) as proof of ((rel_b S) V)
% 15.32/15.49 Found (x1 (a1 S)) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 15.32/15.49 Found a10:=(a1 W):((rel_b W) W)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (a1 W) as proof of ((rel_b W) V)
% 15.32/15.49 Found (x1 (a1 W)) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.32/15.49 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 15.32/15.49 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 15.32/15.49 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 23.02/23.21 Found a10:=(a1 S):((rel_b S) S)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (x3 (a1 S)) as proof of False
% 23.02/23.21 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 23.02/23.21 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 23.02/23.21 Found a10:=(a1 S):((rel_b S) S)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V0)
% 23.02/23.21 Found (x3 (a1 S)) as proof of False
% 23.02/23.21 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 23.02/23.21 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 23.02/23.21 Found a10:=(a1 S):((rel_b S) S)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (x1 (a1 S)) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.02/23.21 Found a10:=(a1 S):((rel_b S) S)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (a1 S) as proof of ((rel_b S) V)
% 23.02/23.21 Found (x1 (a1 S)) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.02/23.21 Found a10:=(a1 V):((rel_b V) V)
% 23.02/23.21 Found (a1 V) as proof of ((rel_b V) V0)
% 23.02/23.21 Found (a1 V) as proof of ((rel_b V) V0)
% 23.02/23.21 Found (a1 V) as proof of ((rel_b V) V0)
% 23.02/23.21 Found (x1 (a1 V)) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 23.02/23.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 23.02/23.21 Found a10:=(a1 W):((rel_b W) W)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found a10:=(a1 W):((rel_b W) W)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found a10:=(a1 W):((rel_b W) W)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found a10:=(a1 W):((rel_b W) W)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found (a1 W) as proof of ((rel_b W) V0)
% 23.02/23.21 Found a10:=(a1 V):((rel_b V) V)
% 23.02/23.21 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (x1 (a1 V)) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 28.23/28.44 Found a10:=(a1 S):((rel_b S) S)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found a10:=(a1 S):((rel_b S) S)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found a10:=(a1 V):((rel_b V) V)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (x1 (a1 V)) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 28.23/28.44 Found a10:=(a1 V):((rel_b V) V)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (a1 V) as proof of ((rel_b V) V0)
% 28.23/28.44 Found (x1 (a1 V)) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.23/28.44 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 28.23/28.44 Found a10:=(a1 S):((rel_b S) S)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found a10:=(a1 W):((rel_b W) W)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found a10:=(a1 S):((rel_b S) S)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found (a1 S) as proof of ((rel_b S) V0)
% 28.23/28.44 Found a10:=(a1 W):((rel_b W) W)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found a10:=(a1 W):((rel_b W) W)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found a10:=(a1 W):((rel_b W) W)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found (a1 W) as proof of ((rel_b W) V0)
% 28.23/28.44 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 28.23/28.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found a10:=(a1 V):((rel_b V) V)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (x1 (a1 V)) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 31.03/31.21 Found a10:=(a1 V):((rel_b V) V)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (x1 (a1 V)) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 31.03/31.21 Found a10:=(a1 W):((rel_b W) W)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (x3 (a1 W)) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 31.03/31.21 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 31.03/31.21 Found a10:=(a1 W):((rel_b W) W)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (x3 (a1 W)) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 31.03/31.21 Found a10:=(a1 W):((rel_b W) W)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (x3 (a1 W)) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 31.03/31.21 Found a10:=(a1 W):((rel_b W) W)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (a1 W) as proof of ((rel_b W) V0)
% 31.03/31.21 Found (x3 (a1 W)) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 31.03/31.21 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 31.03/31.21 Found a10:=(a1 V):((rel_b V) V)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (a1 V) as proof of ((rel_b V) V0)
% 31.03/31.21 Found (x1 (a1 V)) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 31.03/31.21 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 31.03/31.21 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found a10:=(a1 S):((rel_b S) S)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found a10:=(a1 S):((rel_b S) S)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 40.66/40.86 Found a10:=(a1 S):((rel_b S) S)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found a10:=(a1 S):((rel_b S) S)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found (a1 S) as proof of ((rel_b S) V0)
% 40.66/40.86 Found a10:=(a1 W):((rel_b W) W)
% 40.66/40.86 Found (a1 W) as proof of ((rel_b W) V)
% 40.66/40.86 Found (a1 W) as proof of ((rel_b W) V)
% 40.66/40.86 Found (a1 W) as proof of ((rel_b W) V)
% 40.66/40.86 Found (x1 (a1 W)) as proof of False
% 40.66/40.86 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.66/40.86 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 40.66/40.86 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 40.66/40.86 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found a10:=(a1 S):((rel_b S) S)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (x3 (a1 S)) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 46.88/47.06 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 46.88/47.06 Found a10:=(a1 S):((rel_b S) S)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (x3 (a1 S)) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 46.88/47.06 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 46.88/47.06 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 46.88/47.06 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 46.88/47.06 Found a10:=(a1 S):((rel_b S) S)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (a1 S) as proof of ((rel_b S) V0)
% 46.88/47.06 Found (x3 (a1 S)) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 46.88/47.06 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 46.88/47.06 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 50.28/50.51 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 50.28/50.51 Found a10:=(a1 V0):((rel_b V0) V0)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found a10:=(a1 S):((rel_b S) S)
% 50.28/50.51 Found (a1 S) as proof of ((rel_b S) V0)
% 50.28/50.51 Found (a1 S) as proof of ((rel_b S) V0)
% 50.28/50.51 Found (a1 S) as proof of ((rel_b S) V0)
% 50.28/50.51 Found (x3 (a1 S)) as proof of False
% 50.28/50.51 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 50.28/50.51 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 50.28/50.51 Found a10:=(a1 V):((rel_b V) V)
% 50.28/50.51 Found (a1 V) as proof of ((rel_b V) V0)
% 50.28/50.51 Found (a1 V) as proof of ((rel_b V) V0)
% 50.28/50.51 Found (a1 V) as proof of ((rel_b V) V0)
% 50.28/50.51 Found (x1 (a1 V)) as proof of False
% 50.28/50.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 50.28/50.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 50.28/50.51 Found a10:=(a1 V0):((rel_b V0) V0)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a1 V0) as proof of ((rel_b V0) W)
% 50.28/50.51 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 50.28/50.51 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 50.28/50.51 Found a10:=(a1 W):((rel_b W) W)
% 50.28/50.51 Found (a1 W) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (a1 W) as proof of ((rel_b W) V0)
% 50.28/50.51 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (x3 (a1 W)) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 54.42/54.66 Found or_intror10:=(or_intror1 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)))
% 54.42/54.66 Found (or_intror1 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 54.42/54.66 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 54.42/54.66 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 54.42/54.66 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 54.42/54.66 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 54.42/54.66 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 54.42/54.66 Found a10:=(a1 W):((rel_b W) W)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (x3 (a1 W)) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 54.42/54.66 Found a10:=(a1 W):((rel_b W) W)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (x3 (a1 W)) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 54.42/54.66 Found a10:=(a1 W):((rel_b W) W)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found a10:=(a1 W):((rel_b W) W)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (a1 W) as proof of ((rel_b W) V0)
% 54.42/54.66 Found (x3 (a1 W)) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of False
% 54.42/54.66 Found (fun (x3:(((rel_b W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 61.97/62.18 Found a10:=(a1 V0):((rel_b V0) V0)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found or_intror10:=(or_intror1 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)))
% 61.97/62.18 Found (or_intror1 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 61.97/62.18 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 61.97/62.18 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 61.97/62.18 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 61.97/62.18 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 61.97/62.18 Found a10:=(a1 W):((rel_b W) W)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found a10:=(a1 V0):((rel_b V0) V0)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a1 V0) as proof of ((rel_b V0) W)
% 61.97/62.18 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 61.97/62.18 Found a10:=(a1 W):((rel_b W) W)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V0)
% 61.97/62.18 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 61.97/62.18 Found a10:=(a1 W):((rel_b W) W)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V)
% 61.97/62.18 Found (a1 W) as proof of ((rel_b W) V)
% 61.97/62.18 Found (x1 (a1 W)) as proof of False
% 61.97/62.18 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 61.97/62.18 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 71.06/71.27 Found a10:=(a1 S):((rel_b S) S)
% 71.06/71.27 Found (a1 S) as proof of ((rel_b S) V)
% 71.06/71.27 Found (a1 S) as proof of ((rel_b S) V)
% 71.06/71.27 Found (a1 S) as proof of ((rel_b S) V)
% 71.06/71.27 Found (x1 (a1 S)) as proof of False
% 71.06/71.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 71.06/71.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 71.06/71.27 Found a10:=(a1 W):((rel_b W) W)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found x3:(((rel_b W) V0)->False)
% 71.06/71.27 Instantiate: V0:=V00:fofType;V:=W:fofType
% 71.06/71.27 Found x3 as proof of (((rel_b V) V00)->False)
% 71.06/71.27 Found (or_introl00 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found ((or_introl0 ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 71.06/71.27 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 71.06/71.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found (or_introl0 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found a10:=(a1 W):((rel_b W) W)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found (a1 W) as proof of ((rel_b W) V0)
% 71.06/71.27 Found x3:(((rel_b W) V0)->False)
% 71.06/71.27 Instantiate: V0:=V00:fofType
% 71.06/71.27 Found x3 as proof of (((rel_b V) V00)->False)
% 71.06/71.27 Found (or_introl00 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found ((or_introl0 ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 71.06/71.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found (or_introl0 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 71.06/71.27 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found a10:=(a1 W):((rel_b W) W)
% 75.48/75.66 Found (a1 W) as proof of ((rel_b W) V0)
% 75.48/75.66 Found (a1 W) as proof of ((rel_b W) V0)
% 75.48/75.66 Found (a1 W) as proof of ((rel_b W) V0)
% 75.48/75.66 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 75.48/75.66 Found x2:((rel_b V) V0)
% 75.48/75.66 Instantiate: V1:=V0:fofType;V:=W:fofType
% 75.48/75.66 Found x2 as proof of ((rel_b W) V1)
% 75.48/75.66 Found (x4 x2) as proof of False
% 75.48/75.66 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 75.48/75.66 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 75.48/75.66 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 75.48/75.66 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 75.48/75.66 Found (or_introl0 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 75.48/75.66 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found a10:=(a1 W):((rel_b W) W)
% 80.18/80.40 Found (a1 W) as proof of ((rel_b W) V1)
% 80.18/80.40 Found (a1 W) as proof of ((rel_b W) V1)
% 80.18/80.40 Found (a1 W) as proof of ((rel_b W) V1)
% 80.18/80.40 Found (x5 (a1 W)) as proof of False
% 80.18/80.40 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 80.18/80.40 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 80.18/80.40 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 80.18/80.40 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 80.18/80.40 Found x2:((rel_b V) V0)
% 80.18/80.40 Instantiate: V1:=V0:fofType
% 80.18/80.40 Found x2 as proof of ((rel_b W) V1)
% 80.18/80.40 Found (x4 x2) as proof of False
% 80.18/80.40 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 80.18/80.40 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 80.18/80.40 Found a10:=(a1 V0):((rel_b V0) V0)
% 80.18/80.40 Found (a1 V0) as proof of ((rel_b V0) S)
% 80.18/80.40 Found (a1 V0) as proof of ((rel_b V0) S)
% 80.18/80.40 Found (a1 V0) as proof of ((rel_b V0) S)
% 80.18/80.40 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 80.18/80.40 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 80.18/80.40 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 80.18/80.40 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 80.18/80.40 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 80.18/80.40 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found (or_introl0 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 80.18/80.40 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 87.89/88.09 Found a10:=(a1 W):((rel_b W) W)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (x5 (a1 W)) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 87.89/88.09 Found a10:=(a1 W):((rel_b W) W)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (x5 (a1 W)) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 87.89/88.09 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 87.89/88.09 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 87.89/88.09 Found a10:=(a1 V0):((rel_b V0) V0)
% 87.89/88.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 87.89/88.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 87.89/88.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 87.89/88.09 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 87.89/88.09 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 87.89/88.09 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 87.89/88.09 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 87.89/88.09 Found a10:=(a1 W):((rel_b W) W)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (a1 W) as proof of ((rel_b W) V1)
% 87.89/88.09 Found (x5 (a1 W)) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 87.89/88.09 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 87.89/88.09 Found or_intror10:=(or_intror1 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)))
% 93.01/93.22 Found (or_intror1 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 93.01/93.22 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 93.01/93.22 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 93.01/93.22 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 93.01/93.22 Found a10:=(a1 W):((rel_b W) W)
% 93.01/93.22 Found (a1 W) as proof of ((rel_b W) V1)
% 93.01/93.22 Found (a1 W) as proof of ((rel_b W) V1)
% 93.01/93.22 Found (a1 W) as proof of ((rel_b W) V1)
% 93.01/93.22 Found (x4 (a1 W)) as proof of False
% 93.01/93.22 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 93.01/93.22 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 93.01/93.22 Found a10:=(a1 V0):((rel_b V0) V0)
% 93.01/93.22 Found (a1 V0) as proof of ((rel_b V0) V1)
% 93.01/93.22 Found (a1 V0) as proof of ((rel_b V0) V1)
% 93.01/93.22 Found (a1 V0) as proof of ((rel_b V0) V1)
% 93.01/93.22 Found (x3 (a1 V0)) as proof of False
% 93.01/93.22 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 93.01/93.22 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 93.01/93.22 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found a10:=(a1 S):((rel_b S) S)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found (x3 (a1 S)) as proof of False
% 93.01/93.22 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 93.01/93.22 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 93.01/93.22 Found a10:=(a1 S):((rel_b S) S)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 93.01/93.22 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 93.01/93.22 Found a10:=(a1 S):((rel_b S) S)
% 93.01/93.22 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (x3 (a1 S)) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 96.97/97.25 Found a10:=(a1 V0):((rel_b V0) V0)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) V1)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) V1)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) V1)
% 96.97/97.25 Found (x3 (a1 V0)) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 96.97/97.25 Found a10:=(a1 W):((rel_b W) W)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (x4 (a1 W)) as proof of False
% 96.97/97.25 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 96.97/97.25 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 96.97/97.25 Found a10:=(a1 S):((rel_b S) S)
% 96.97/97.25 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (a1 S) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (x3 (a1 S)) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 96.97/97.25 Found a10:=(a1 V0):((rel_b V0) V0)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) S)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) S)
% 96.97/97.25 Found (a1 V0) as proof of ((rel_b V0) S)
% 96.97/97.25 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 96.97/97.25 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 96.97/97.25 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 96.97/97.25 Found a10:=(a1 W):((rel_b W) W)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (a1 W) as proof of ((rel_b W) V1)
% 96.97/97.25 Found (x3 (a1 W)) as proof of False
% 96.97/97.25 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 96.97/97.25 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 96.97/97.25 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 96.97/97.25 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 96.97/97.25 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 96.97/97.25 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 96.97/97.25 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 96.97/97.25 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 96.97/97.25 Found or_intror10:=(or_intror1 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)))
% 96.97/97.25 Found (or_intror1 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 96.97/97.25 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 96.97/97.25 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 96.97/97.25 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 96.97/97.25 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 108.02/108.22 Found a10:=(a1 S):((rel_b S) S)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found a10:=(a1 S):((rel_b S) S)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (x3 (a1 S)) as proof of False
% 108.02/108.22 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of False
% 108.02/108.22 Found (fun (x3:(((rel_b S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 108.02/108.22 Found a10:=(a1 V0):((rel_b V0) V0)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) S)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) S)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) S)
% 108.02/108.22 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 108.02/108.22 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 108.02/108.22 Found a10:=(a1 W):((rel_b W) W)
% 108.02/108.22 Found (a1 W) as proof of ((rel_b W) V1)
% 108.02/108.22 Found (a1 W) as proof of ((rel_b W) V1)
% 108.02/108.22 Found (a1 W) as proof of ((rel_b W) V1)
% 108.02/108.22 Found (x3 (a1 W)) as proof of False
% 108.02/108.22 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 108.02/108.22 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 108.02/108.22 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 108.02/108.22 Found a10:=(a1 V0):((rel_b V0) V0)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found a10:=(a1 V0):((rel_b V0) V0)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a1 V0) as proof of ((rel_b V0) W)
% 108.02/108.22 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 108.02/108.22 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 108.02/108.22 Found a10:=(a1 S):((rel_b S) S)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found (a1 S) as proof of ((rel_b S) V0)
% 108.02/108.22 Found or_intror00:=(or_intror0 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)))
% 108.02/108.22 Found (or_intror0 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 108.02/108.22 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 108.02/108.22 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 108.02/108.22 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 115.74/115.97 Found a10:=(a1 V):((rel_b V) V)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (x2 (a1 V)) as proof of False
% 115.74/115.97 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 115.74/115.97 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 115.74/115.97 Found a10:=(a1 S):((rel_b S) S)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found a10:=(a1 S):((rel_b S) S)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V)
% 115.74/115.97 Found (x1 (a1 S)) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 115.74/115.97 Found x3:(((rel_b S) V0)->False)
% 115.74/115.97 Instantiate: V0:=V00:fofType;V:=S:fofType
% 115.74/115.97 Found x3 as proof of (((rel_b V) V00)->False)
% 115.74/115.97 Found (or_introl00 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 115.74/115.97 Found ((or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 115.74/115.97 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 115.74/115.97 Found a10:=(a1 V):((rel_b V) V)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (x1 (a1 V)) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 115.74/115.97 Found a10:=(a1 V):((rel_b V) V)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (x1 (a1 V)) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 115.74/115.97 Found a10:=(a1 V):((rel_b V) V)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V0)
% 115.74/115.97 Found (x1 (a1 V)) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 115.74/115.97 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 115.74/115.97 Found a10:=(a1 V):((rel_b V) V)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (a1 V) as proof of ((rel_b V) V00)
% 115.74/115.97 Found (x2 (a1 V)) as proof of False
% 115.74/115.97 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 115.74/115.97 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 115.74/115.97 Found a10:=(a1 W):((rel_b W) W)
% 115.74/115.97 Found (a1 W) as proof of ((rel_b W) V0)
% 115.74/115.97 Found (a1 W) as proof of ((rel_b W) V0)
% 115.74/115.97 Found (a1 W) as proof of ((rel_b W) V0)
% 115.74/115.97 Found a10:=(a1 S):((rel_b S) S)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found (a1 S) as proof of ((rel_b S) V0)
% 115.74/115.97 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 115.74/115.97 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 115.74/115.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 115.74/115.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 115.74/115.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 115.74/115.97 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found a10:=(a1 V0):((rel_b V0) V0)
% 121.30/121.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 121.30/121.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 121.30/121.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 121.30/121.55 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 121.30/121.55 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 121.30/121.55 Found x3:(((rel_b S) V0)->False)
% 121.30/121.55 Instantiate: V0:=V00:fofType
% 121.30/121.55 Found x3 as proof of (((rel_b V) V00)->False)
% 121.30/121.55 Found (or_introl00 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 121.30/121.55 Found ((or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 121.30/121.55 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 121.30/121.55 Found a10:=(a1 W):((rel_b W) W)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found or_intror00:=(or_intror0 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)))
% 121.30/121.55 Found (or_intror0 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 121.30/121.55 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 121.30/121.55 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 121.30/121.55 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 121.30/121.55 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 121.30/121.55 Found a10:=(a1 W):((rel_b W) W)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found (a1 W) as proof of ((rel_b W) V0)
% 121.30/121.55 Found a10:=(a1 S):((rel_b S) S)
% 121.30/121.55 Found (a1 S) as proof of ((rel_b S) V0)
% 121.30/121.55 Found (a1 S) as proof of ((rel_b S) V0)
% 121.30/121.55 Found (a1 S) as proof of ((rel_b S) V0)
% 121.30/121.55 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 121.30/121.55 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 121.30/121.55 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 121.30/121.55 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 121.30/121.55 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 125.03/125.29 Found a10:=(a1 V0):((rel_b V0) V0)
% 125.03/125.29 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.03/125.29 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.03/125.29 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.03/125.29 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 125.03/125.29 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.03/125.29 Found x2:((rel_b V) V0)
% 125.03/125.29 Instantiate: V1:=V0:fofType;V:=S:fofType
% 125.03/125.29 Found x2 as proof of ((rel_b S) V1)
% 125.03/125.29 Found (x4 x2) as proof of False
% 125.03/125.29 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 125.03/125.29 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 125.03/125.29 Found a10:=(a1 W):((rel_b W) W)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 125.03/125.29 Found a10:=(a1 W):((rel_b W) W)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (a1 W) as proof of ((rel_b W) V0)
% 125.03/125.29 Found (x3 (a1 W)) as proof of False
% 125.03/125.29 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of False
% 125.03/125.29 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V00)
% 125.03/125.29 Found (or_intror10 (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 125.03/125.29 Found ((or_intror1 ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 125.03/125.29 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 125.03/125.29 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 130.75/131.00 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 130.75/131.00 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_b (mdia_b (mbox_b p))) V)
% 130.75/131.00 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_b W) V0)->False)->((mbox_b (mdia_b (mbox_b p))) V))
% 130.75/131.00 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 130.75/131.00 Found a10:=(a1 W):((rel_b W) W)
% 130.75/131.00 Found (a1 W) as proof of ((rel_b W) V0)
% 130.75/131.00 Found (a1 W) as proof of ((rel_b W) V0)
% 130.75/131.00 Found (a1 W) as proof of ((rel_b W) V0)
% 130.75/131.00 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 130.75/131.00 Found a10:=(a1 S):((rel_b S) S)
% 130.75/131.00 Found (a1 S) as proof of ((rel_b S) V1)
% 130.75/131.00 Found (a1 S) as proof of ((rel_b S) V1)
% 130.75/131.00 Found (a1 S) as proof of ((rel_b S) V1)
% 130.75/131.00 Found (x5 (a1 S)) as proof of False
% 134.64/134.94 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 134.64/134.94 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 134.64/134.94 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 134.64/134.94 Found x2:((rel_b V) V0)
% 134.64/134.94 Instantiate: V1:=V0:fofType
% 134.64/134.94 Found x2 as proof of ((rel_b S) V1)
% 134.64/134.94 Found (x4 x2) as proof of False
% 134.64/134.94 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 134.64/134.94 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 134.64/134.94 Found a10:=(a1 W):((rel_b W) W)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 134.64/134.94 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 134.64/134.94 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 134.64/134.94 Found a10:=(a1 W):((rel_b W) W)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found a10:=(a1 W):((rel_b W) W)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (a1 W) as proof of ((rel_b W) V0)
% 134.64/134.94 Found (x3 (a1 W)) as proof of False
% 134.64/134.94 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of False
% 134.64/134.94 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V00)
% 134.64/134.94 Found (or_intror10 (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 134.64/134.94 Found ((or_intror1 ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 134.64/134.94 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 134.64/134.94 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 134.64/134.94 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 134.64/134.94 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_b (mdia_b (mbox_b p))) V)
% 141.14/141.43 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_b W) V0)->False)->((mbox_b (mdia_b (mbox_b p))) V))
% 141.14/141.43 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found (or_introl0 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 141.14/141.43 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 141.14/141.43 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 141.14/141.43 Found a10:=(a1 S):((rel_b S) S)
% 141.14/141.43 Found (a1 S) as proof of ((rel_b S) V1)
% 141.14/141.43 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (x5 (a1 S)) as proof of False
% 148.34/148.63 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 148.34/148.63 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 148.34/148.63 Found a10:=(a1 S):((rel_b S) S)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (x5 (a1 S)) as proof of False
% 148.34/148.63 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 148.34/148.63 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 148.34/148.63 Found x3:(((rel_b W) V0)->False)
% 148.34/148.63 Instantiate: V0:=V00:fofType;V:=W:fofType
% 148.34/148.63 Found x3 as proof of (((rel_b V) V00)->False)
% 148.34/148.63 Found (or_introl10 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 148.34/148.63 Found ((or_introl1 ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 148.34/148.63 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 148.34/148.63 Found a10:=(a1 W):((rel_b W) W)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found or_intror10:=(or_intror1 (((rel_b W) V2)->False)):((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)))
% 148.34/148.63 Found (or_intror1 (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found a10:=(a1 W):((rel_b W) W)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found (a1 W) as proof of ((rel_b W) V0)
% 148.34/148.63 Found or_intror10:=(or_intror1 (((rel_b W) V2)->False)):((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)))
% 148.34/148.63 Found (or_intror1 (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 148.34/148.63 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 148.34/148.63 Found a10:=(a1 S):((rel_b S) S)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 148.34/148.63 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (x5 (a1 S)) as proof of False
% 158.52/158.82 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 158.52/158.82 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 158.52/158.82 Found x2:((rel_b V) V0)
% 158.52/158.82 Instantiate: V1:=V0:fofType;V:=W:fofType
% 158.52/158.82 Found x2 as proof of ((rel_b W) V1)
% 158.52/158.82 Found (x4 x2) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 158.52/158.82 Found a10:=(a1 W):((rel_b W) W)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found a10:=(a1 W):((rel_b W) W)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found x3:(((rel_b W) V0)->False)
% 158.52/158.82 Instantiate: V0:=V00:fofType
% 158.52/158.82 Found x3 as proof of (((rel_b V) V00)->False)
% 158.52/158.82 Found (or_introl10 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 158.52/158.82 Found ((or_introl1 ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 158.52/158.82 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 158.52/158.82 Found a10:=(a1 W):((rel_b W) W)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found or_intror10:=(or_intror1 (((rel_b W) V2)->False)):((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)))
% 158.52/158.82 Found (or_intror1 (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 158.52/158.82 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 158.52/158.82 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 158.52/158.82 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 158.52/158.82 Found a10:=(a1 V0):((rel_b V0) V0)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (x3 (a1 V0)) as proof of False
% 158.52/158.82 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 158.52/158.82 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 158.52/158.82 Found a10:=(a1 S):((rel_b S) S)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (x4 (a1 S)) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 158.52/158.82 Found x2:((rel_b V) V0)
% 158.52/158.82 Instantiate: V1:=V0:fofType
% 158.52/158.82 Found x2 as proof of ((rel_b W) V1)
% 158.52/158.82 Found (x4 x2) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 158.52/158.82 Found a10:=(a1 W):((rel_b W) W)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found a10:=(a1 W):((rel_b W) W)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found (a1 W) as proof of ((rel_b W) V0)
% 158.52/158.82 Found a10:=(a1 S):((rel_b S) S)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (a1 S) as proof of ((rel_b S) V1)
% 158.52/158.82 Found (x4 (a1 S)) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of False
% 158.52/158.82 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 158.52/158.82 Found a10:=(a1 V0):((rel_b V0) V0)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (a1 V0) as proof of ((rel_b V0) V1)
% 158.52/158.82 Found (x3 (a1 V0)) as proof of False
% 158.52/158.82 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 166.78/167.04 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 166.78/167.04 Found or_intror10:=(or_intror1 (((rel_b W) V2)->False)):((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)))
% 166.78/167.04 Found (or_intror1 (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 166.78/167.04 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 166.78/167.04 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 166.78/167.04 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 166.78/167.04 Found ((or_intror ((mdia_b (mbox_b p)) V0)) (((rel_b W) V2)->False)) as proof of ((((rel_b W) V2)->False)->((or ((mdia_b (mbox_b p)) V0)) (((rel_b V) V0)->False)))
% 166.78/167.04 Found a10:=(a1 S):((rel_b S) S)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (x3 (a1 S)) as proof of False
% 166.78/167.04 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of False
% 166.78/167.04 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V0)
% 166.78/167.04 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->((mdia_b ((mbox rel_b) p)) V0))
% 166.78/167.04 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 166.78/167.04 Found (or_introl1 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 166.78/167.04 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 166.78/167.04 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 166.78/167.04 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 166.78/167.04 Found x2:((rel_b V) V0)
% 166.78/167.04 Instantiate: V1:=V0:fofType;V:=W:fofType
% 166.78/167.04 Found x2 as proof of ((rel_b W) V1)
% 166.78/167.04 Found (x4 x2) as proof of False
% 166.78/167.04 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 166.78/167.04 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 166.78/167.04 Found a10:=(a1 S):((rel_b S) S)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (a1 S) as proof of ((rel_b S) V1)
% 166.78/167.04 Found (x3 (a1 S)) as proof of False
% 166.78/167.04 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of False
% 166.78/167.04 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V0)
% 166.78/167.04 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->((mdia_b ((mbox rel_b) p)) V0))
% 173.18/173.44 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 173.18/173.44 Found (or_introl1 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 173.18/173.44 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 173.18/173.44 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 173.18/173.44 Found x2:((rel_b V) V0)
% 173.18/173.44 Instantiate: V1:=V0:fofType
% 173.18/173.44 Found x2 as proof of ((rel_b W) V1)
% 173.18/173.44 Found (x4 x2) as proof of False
% 173.18/173.44 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 173.18/173.44 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 173.18/173.44 Found a10:=(a1 V0):((rel_b V0) V0)
% 173.18/173.44 Found (a1 V0) as proof of ((rel_b V0) S)
% 173.18/173.44 Found (a1 V0) as proof of ((rel_b V0) S)
% 173.18/173.44 Found (a1 V0) as proof of ((rel_b V0) S)
% 173.18/173.44 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 173.18/173.44 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 173.18/173.44 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 173.18/173.44 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 173.18/173.44 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 173.18/173.44 Found a10:=(a1 W):((rel_b W) W)
% 173.18/173.44 Found (a1 W) as proof of ((rel_b W) V1)
% 173.18/173.44 Found (a1 W) as proof of ((rel_b W) V1)
% 173.18/173.44 Found (a1 W) as proof of ((rel_b W) V1)
% 173.18/173.44 Found (x4 (a1 W)) as proof of False
% 173.18/173.44 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 173.18/173.44 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 180.17/180.45 Found a10:=(a1 V0):((rel_b V0) V0)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) V1)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) V1)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) V1)
% 180.17/180.45 Found (x3 (a1 V0)) as proof of False
% 180.17/180.45 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 180.17/180.45 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 180.17/180.45 Found a10:=(a1 W):((rel_b W) W)
% 180.17/180.45 Found (a1 W) as proof of ((rel_b W) V1)
% 180.17/180.45 Found (a1 W) as proof of ((rel_b W) V1)
% 180.17/180.45 Found (a1 W) as proof of ((rel_b W) V1)
% 180.17/180.45 Found (x5 (a1 W)) as proof of False
% 180.17/180.45 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 180.17/180.45 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 180.17/180.45 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 180.17/180.45 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found (or_introl1 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 180.17/180.45 Found a10:=(a1 V0):((rel_b V0) V0)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) S)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) S)
% 180.17/180.45 Found (a1 V0) as proof of ((rel_b V0) S)
% 180.17/180.45 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 180.17/180.45 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 180.17/180.45 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 180.17/180.45 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 180.17/180.45 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 180.17/180.45 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 180.17/180.45 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 180.17/180.45 Found or_intror00:=(or_intror0 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)))
% 180.17/180.45 Found (or_intror0 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 185.41/185.74 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 185.41/185.74 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 185.41/185.74 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 185.41/185.74 Found a10:=(a1 V0):((rel_b V0) V0)
% 185.41/185.74 Found (a1 V0) as proof of ((rel_b V0) V1)
% 185.41/185.74 Found (a1 V0) as proof of ((rel_b V0) V1)
% 185.41/185.74 Found (a1 V0) as proof of ((rel_b V0) V1)
% 185.41/185.74 Found (x3 (a1 V0)) as proof of False
% 185.41/185.74 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 185.41/185.74 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 185.41/185.74 Found a10:=(a1 W):((rel_b W) W)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (x4 (a1 W)) as proof of False
% 185.41/185.74 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 185.41/185.74 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 185.41/185.74 Found a10:=(a1 W):((rel_b W) W)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (x3 (a1 W)) as proof of False
% 185.41/185.74 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 185.41/185.74 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 185.41/185.74 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 185.41/185.74 Found a10:=(a1 W):((rel_b W) W)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (x5 (a1 W)) as proof of False
% 185.41/185.74 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 185.41/185.74 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 185.41/185.74 Found a10:=(a1 W):((rel_b W) W)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (a1 W) as proof of ((rel_b W) V1)
% 185.41/185.74 Found (x5 (a1 W)) as proof of False
% 185.41/185.74 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 185.41/185.74 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 185.41/185.74 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 185.41/185.74 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)))
% 185.41/185.74 Found (or_introl1 ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 185.41/185.74 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b (mbox_b p)) V1)))
% 190.98/191.26 Found a10:=(a1 V):((rel_b V) V)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (x1 (a1 V)) as proof of False
% 190.98/191.26 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 190.98/191.26 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 190.98/191.26 Found a10:=(a1 V):((rel_b V) V)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V0)
% 190.98/191.26 Found (x1 (a1 V)) as proof of False
% 190.98/191.26 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 190.98/191.26 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 190.98/191.26 Found a10:=(a1 V):((rel_b V) V)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V00)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V00)
% 190.98/191.26 Found (a1 V) as proof of ((rel_b V) V00)
% 190.98/191.26 Found (x2 (a1 V)) as proof of False
% 190.98/191.26 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 190.98/191.26 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 190.98/191.26 Found a10:=(a1 V0):((rel_b V0) V0)
% 190.98/191.26 Found (a1 V0) as proof of ((rel_b V0) V1)
% 190.98/191.26 Found (a1 V0) as proof of ((rel_b V0) V1)
% 190.98/191.26 Found (a1 V0) as proof of ((rel_b V0) V1)
% 190.98/191.26 Found (x3 (a1 V0)) as proof of False
% 190.98/191.26 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 190.98/191.26 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 190.98/191.26 Found a10:=(a1 W):((rel_b W) W)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (x4 (a1 W)) as proof of False
% 190.98/191.26 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 190.98/191.26 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 190.98/191.26 Found a10:=(a1 S):((rel_b S) S)
% 190.98/191.26 Found (a1 S) as proof of ((rel_b S) V0)
% 190.98/191.26 Found (a1 S) as proof of ((rel_b S) V0)
% 190.98/191.26 Found (a1 S) as proof of ((rel_b S) V0)
% 190.98/191.26 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found (or_introl1 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found ((or_introl (((rel_b W) V2)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 190.98/191.26 Found a10:=(a1 W):((rel_b W) W)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (x3 (a1 W)) as proof of False
% 190.98/191.26 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 190.98/191.26 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 190.98/191.26 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 190.98/191.26 Found a10:=(a1 W):((rel_b W) W)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (a1 W) as proof of ((rel_b W) V1)
% 190.98/191.26 Found (x5 (a1 W)) as proof of False
% 190.98/191.26 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of False
% 190.98/191.26 Found (fun (x5:(((rel_b W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 199.22/199.51 Found a10:=(a1 V):((rel_b V) V)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V00)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V00)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V00)
% 199.22/199.51 Found (x2 (a1 V)) as proof of False
% 199.22/199.51 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 199.22/199.51 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 199.22/199.51 Found a10:=(a1 V0):((rel_b V0) V0)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) S)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) S)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) S)
% 199.22/199.51 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 199.22/199.51 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 199.22/199.51 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 199.22/199.51 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 199.22/199.51 Found a10:=(a1 V0):((rel_b V0) V0)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) V1)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) V1)
% 199.22/199.51 Found (a1 V0) as proof of ((rel_b V0) V1)
% 199.22/199.51 Found (x3 (a1 V0)) as proof of False
% 199.22/199.51 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 199.22/199.51 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 199.22/199.51 Found a10:=(a1 W):((rel_b W) W)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (x4 (a1 W)) as proof of False
% 199.22/199.51 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of False
% 199.22/199.51 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 199.22/199.51 Found a10:=(a1 S):((rel_b S) S)
% 199.22/199.51 Found (a1 S) as proof of ((rel_b S) V0)
% 199.22/199.51 Found (a1 S) as proof of ((rel_b S) V0)
% 199.22/199.51 Found (a1 S) as proof of ((rel_b S) V0)
% 199.22/199.51 Found a10:=(a1 W):((rel_b W) W)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (a1 W) as proof of ((rel_b W) V1)
% 199.22/199.51 Found (x3 (a1 W)) as proof of False
% 199.22/199.51 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 199.22/199.51 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 199.22/199.51 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 199.22/199.51 Found or_intror00:=(or_intror0 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)))
% 199.22/199.51 Found (or_intror0 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 199.22/199.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 199.22/199.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 199.22/199.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 199.22/199.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 199.22/199.51 Found a10:=(a1 V):((rel_b V) V)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (x1 (a1 V)) as proof of False
% 199.22/199.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 199.22/199.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 199.22/199.51 Found a10:=(a1 V):((rel_b V) V)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (a1 V) as proof of ((rel_b V) V0)
% 199.22/199.51 Found (x1 (a1 V)) as proof of False
% 199.22/199.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 199.22/199.51 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 199.22/199.51 Found x4:((rel_b V) V0)
% 199.22/199.51 Instantiate: V2:=V0:fofType;V:=W:fofType
% 199.22/199.51 Found x4 as proof of ((rel_b W) V2)
% 199.22/199.51 Found (x6 x4) as proof of False
% 202.79/203.09 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of False
% 202.79/203.09 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of ((((rel_b W) V2)->False)->False)
% 202.79/203.09 Found a10:=(a1 V):((rel_b V) V)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (x1 (a1 V)) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 202.79/203.09 Found a10:=(a1 V):((rel_b V) V)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (x1 (a1 V)) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 202.79/203.09 Found a10:=(a1 V):((rel_b V) V)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (x1 (a1 V)) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 202.79/203.09 Found a10:=(a1 S):((rel_b S) S)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found a10:=(a1 V0):((rel_b V0) V0)
% 202.79/203.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 202.79/203.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 202.79/203.09 Found (a1 V0) as proof of ((rel_b V0) S)
% 202.79/203.09 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 202.79/203.09 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 202.79/203.09 Found a10:=(a1 V):((rel_b V) V)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (x1 (a1 V)) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 202.79/203.09 Found a10:=(a1 V):((rel_b V) V)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (a1 V) as proof of ((rel_b V) V0)
% 202.79/203.09 Found (x1 (a1 V)) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of False
% 202.79/203.09 Found (fun (x1:(((rel_b V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_b V) V0)->False)->False)
% 202.79/203.09 Found a10:=(a1 W):((rel_b W) W)
% 202.79/203.09 Found (a1 W) as proof of ((rel_b W) V1)
% 202.79/203.09 Found (a1 W) as proof of ((rel_b W) V1)
% 202.79/203.09 Found (a1 W) as proof of ((rel_b W) V1)
% 202.79/203.09 Found (x3 (a1 W)) as proof of False
% 202.79/203.09 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of False
% 202.79/203.09 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 202.79/203.09 Found (fun (x3:(((rel_b W) V1)->False)) (x4:((mbox_b (mnot (mbox_b p))) V0))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mdia_b (mbox_b p)) V0))
% 202.79/203.09 Found a10:=(a1 S):((rel_b S) S)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (a1 S) as proof of ((rel_b S) V0)
% 202.79/203.09 Found (x3 (a1 S)) as proof of False
% 202.79/203.09 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))) as proof of False
% 202.79/203.09 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V00)
% 202.79/203.09 Found (or_intror10 (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 202.79/203.09 Found ((or_intror1 ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 202.79/203.09 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 202.79/203.09 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 212.70/212.97 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 212.70/212.97 Found (fun (x3:(((rel_b S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of (((mbox rel_b) (mdia_b ((mbox rel_b) p))) V)
% 212.70/212.97 Found (fun (x3:(((rel_b S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of ((((rel_b S) V0)->False)->(((mbox rel_b) (mdia_b ((mbox rel_b) p))) V))
% 212.70/212.97 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 212.70/212.97 Found a10:=(a1 S):((rel_b S) S)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found x4:((rel_b V) V0)
% 212.70/212.97 Instantiate: V2:=V0:fofType
% 212.70/212.97 Found x4 as proof of ((rel_b W) V2)
% 212.70/212.97 Found (x6 x4) as proof of False
% 212.70/212.97 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of False
% 212.70/212.97 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of ((((rel_b W) V2)->False)->False)
% 212.70/212.97 Found a10:=(a1 S):((rel_b S) S)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found x4:((rel_b V) V0)
% 212.70/212.97 Instantiate: V2:=V0:fofType
% 212.70/212.97 Found x4 as proof of ((rel_b W) V2)
% 212.70/212.97 Found (x6 x4) as proof of False
% 212.70/212.97 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of False
% 212.70/212.97 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of ((((rel_b W) V2)->False)->False)
% 212.70/212.97 Found a10:=(a1 S):((rel_b S) S)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (a1 S) as proof of ((rel_b S) V0)
% 212.70/212.97 Found (x3 (a1 S)) as proof of False
% 212.70/212.97 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))) as proof of False
% 217.16/217.44 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V00)
% 217.16/217.44 Found (or_intror10 (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 217.16/217.44 Found ((or_intror1 ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 217.16/217.44 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 217.16/217.44 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 217.16/217.44 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 217.16/217.44 Found (fun (x3:(((rel_b S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of (((mbox rel_b) (mdia_b ((mbox rel_b) p))) V)
% 217.16/217.44 Found (fun (x3:(((rel_b S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V00))=> (x3 (a1 S))))) as proof of ((((rel_b S) V0)->False)->(((mbox rel_b) (mdia_b ((mbox rel_b) p))) V))
% 217.16/217.44 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found or_introl00:=(or_introl0 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found (or_introl0 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 217.16/217.44 Found a10:=(a1 S):((rel_b S) S)
% 217.16/217.44 Found (a1 S) as proof of ((rel_b S) V0)
% 217.16/217.44 Found (a1 S) as proof of ((rel_b S) V0)
% 217.16/217.44 Found (a1 S) as proof of ((rel_b S) V0)
% 217.16/217.44 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b V0) V3)->False)->((or (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 217.16/217.44 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 217.16/217.44 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 217.16/217.44 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found a10:=(a1 S):((rel_b S) S)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found x4:((rel_b V) V0)
% 231.60/231.92 Instantiate: V2:=V0:fofType
% 231.60/231.92 Found x4 as proof of ((rel_b W) V2)
% 231.60/231.92 Found (x6 x4) as proof of False
% 231.60/231.92 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of False
% 231.60/231.92 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 x4)) as proof of ((((rel_b W) V2)->False)->False)
% 231.60/231.92 Found a10:=(a1 V):((rel_b V) V)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (x2 (a1 V)) as proof of False
% 231.60/231.92 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 231.60/231.92 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 231.60/231.92 Found a10:=(a1 V):((rel_b V) V)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (a1 V) as proof of ((rel_b V) V00)
% 231.60/231.92 Found (x2 (a1 V)) as proof of False
% 231.60/231.92 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 231.60/231.92 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 231.60/231.92 Found x3:(((rel_b S) V0)->False)
% 231.60/231.92 Instantiate: V0:=V00:fofType;V:=S:fofType
% 231.60/231.92 Found x3 as proof of (((rel_b V) V00)->False)
% 231.60/231.92 Found (or_introl10 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 231.60/231.92 Found ((or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 231.60/231.92 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 231.60/231.92 Found a10:=(a1 S):((rel_b S) S)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found (a1 S) as proof of ((rel_b S) V0)
% 231.60/231.92 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b V0) V3)->False)->((or (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 231.60/231.92 Found or_intror10:=(or_intror1 (((rel_b S) V2)->False)):((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)))
% 231.60/231.92 Found (or_intror1 (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 231.60/231.92 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 231.60/231.92 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 231.60/231.92 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 231.60/231.92 Found or_intror10:=(or_intror1 (((rel_b S) V2)->False)):((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)))
% 231.60/231.92 Found (or_intror1 (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 231.60/231.92 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 239.87/240.16 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 239.87/240.16 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 239.87/240.16 Found x2:((rel_b V) V0)
% 239.87/240.16 Instantiate: V1:=V0:fofType;V:=S:fofType
% 239.87/240.16 Found x2 as proof of ((rel_b S) V1)
% 239.87/240.16 Found (x4 x2) as proof of False
% 239.87/240.16 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 239.87/240.16 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 239.87/240.16 Found a10:=(a1 S):((rel_b S) S)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found a10:=(a1 S):((rel_b S) S)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found a10:=(a1 V):((rel_b V) V)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (x2 (a1 V)) as proof of False
% 239.87/240.16 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 239.87/240.16 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 239.87/240.16 Found a10:=(a1 W):((rel_b W) W)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V0)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V0)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V0)
% 239.87/240.16 Found a10:=(a1 V):((rel_b V) V)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (a1 V) as proof of ((rel_b V) V00)
% 239.87/240.16 Found (x2 (a1 V)) as proof of False
% 239.87/240.16 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of False
% 239.87/240.16 Found (fun (x2:(((rel_b V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_b V) V00)->False)->False)
% 239.87/240.16 Found x3:(((rel_b S) V0)->False)
% 239.87/240.16 Instantiate: V0:=V00:fofType
% 239.87/240.16 Found x3 as proof of (((rel_b V) V00)->False)
% 239.87/240.16 Found (or_introl10 x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 239.87/240.16 Found ((or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 239.87/240.16 Found (((or_introl (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)) x3) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00))
% 239.87/240.16 Found a10:=(a1 W):((rel_b W) W)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V2)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V2)
% 239.87/240.16 Found (a1 W) as proof of ((rel_b W) V2)
% 239.87/240.16 Found (x6 (a1 W)) as proof of False
% 239.87/240.16 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of False
% 239.87/240.16 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_b W) V2)->False)->False)
% 239.87/240.16 Found a10:=(a1 V0):((rel_b V0) V0)
% 239.87/240.16 Found (a1 V0) as proof of ((rel_b V0) V2)
% 239.87/240.16 Found (a1 V0) as proof of ((rel_b V0) V2)
% 239.87/240.16 Found (a1 V0) as proof of ((rel_b V0) V2)
% 239.87/240.16 Found (x5 (a1 V0)) as proof of False
% 239.87/240.16 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 239.87/240.16 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_b V0) V2)->False)->False)
% 239.87/240.16 Found a10:=(a1 S):((rel_b S) S)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found (a1 S) as proof of ((rel_b S) V0)
% 239.87/240.16 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V2)):((((rel_b W) V3)->False)->((or (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 239.87/240.16 Found (or_introl1 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 239.87/240.16 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 239.87/240.16 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 239.87/240.16 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found a10:=(a1 W):((rel_b W) W)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found or_intror10:=(or_intror1 (((rel_b S) V2)->False)):((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)))
% 246.58/246.91 Found (or_intror1 (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 246.58/246.91 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 246.58/246.91 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 246.58/246.91 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 246.58/246.91 Found x2:((rel_b V) V0)
% 246.58/246.91 Instantiate: V1:=V0:fofType
% 246.58/246.91 Found x2 as proof of ((rel_b S) V1)
% 246.58/246.91 Found (x4 x2) as proof of False
% 246.58/246.91 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 246.58/246.91 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 246.58/246.91 Found a10:=(a1 S):((rel_b S) S)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found a10:=(a1 S):((rel_b S) S)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found (a1 S) as proof of ((rel_b S) V0)
% 246.58/246.91 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b W) V3)->False)->((or (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b V0) V3)->False)->((or (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 246.58/246.91 Found a10:=(a1 W):((rel_b W) W)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V0)
% 246.58/246.91 Found a10:=(a1 W):((rel_b W) W)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V2)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V2)
% 246.58/246.91 Found (a1 W) as proof of ((rel_b W) V2)
% 246.58/246.91 Found (x6 (a1 W)) as proof of False
% 246.58/246.91 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of False
% 246.58/246.91 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_b W) V2)->False)->False)
% 251.74/252.09 Found a10:=(a1 V0):((rel_b V0) V0)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (x5 (a1 V0)) as proof of False
% 251.74/252.09 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 251.74/252.09 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_b V0) V2)->False)->False)
% 251.74/252.09 Found a10:=(a1 W):((rel_b W) W)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (x6 (a1 W)) as proof of False
% 251.74/252.09 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of False
% 251.74/252.09 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_b W) V2)->False)->False)
% 251.74/252.09 Found a10:=(a1 V0):((rel_b V0) V0)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (a1 V0) as proof of ((rel_b V0) V2)
% 251.74/252.09 Found (x5 (a1 V0)) as proof of False
% 251.74/252.09 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 251.74/252.09 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_b V0) V2)->False)->False)
% 251.74/252.09 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V2)):((((rel_b W) V3)->False)->((or (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found (or_introl1 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found a10:=(a1 W):((rel_b W) W)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V2)
% 251.74/252.09 Found (x5 (a1 W)) as proof of False
% 251.74/252.09 Found (fun (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of False
% 251.74/252.09 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 251.74/252.09 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((((rel_b W) V2)->False)->((mdia_b (mbox_b p)) V0))
% 251.74/252.09 Found a10:=(a1 S):((rel_b S) S)
% 251.74/252.09 Found (a1 S) as proof of ((rel_b S) V0)
% 251.74/252.09 Found (a1 S) as proof of ((rel_b S) V0)
% 251.74/252.09 Found (a1 S) as proof of ((rel_b S) V0)
% 251.74/252.09 Found a10:=(a1 W):((rel_b W) W)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V0)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V0)
% 251.74/252.09 Found (a1 W) as proof of ((rel_b W) V0)
% 251.74/252.09 Found x2:((rel_b V) V0)
% 251.74/252.09 Instantiate: V1:=V0:fofType;V:=S:fofType
% 251.74/252.09 Found x2 as proof of ((rel_b S) V1)
% 251.74/252.09 Found (x4 x2) as proof of False
% 251.74/252.09 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 251.74/252.09 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 251.74/252.09 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b V0) V3)->False)->((or (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 251.74/252.09 Found ((or_introl (((rel_b V0) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b V0) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V2)):((((rel_b W) V3)->False)->((or (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found (or_introl0 ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found ((or_introl (((rel_b W) V3)->False)) ((mdia_b (mbox_b p)) V2)) as proof of ((((rel_b W) V3)->False)->((or (((rel_b V1) V2)->False)) ((mdia_b (mbox_b p)) V2)))
% 256.17/256.51 Found or_intror10:=(or_intror1 (((rel_b S) V2)->False)):((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)))
% 256.17/256.51 Found (or_intror1 (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 256.17/256.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 256.17/256.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 256.17/256.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 256.17/256.51 Found ((or_intror ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b S) V2)->False)) as proof of ((((rel_b S) V2)->False)->((or ((mdia_b ((mbox rel_b) p)) V0)) (((rel_b V) V0)->False)))
% 256.17/256.51 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 256.17/256.51 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 256.17/256.51 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 256.17/256.51 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 256.17/256.51 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 256.17/256.51 Found a10:=(a1 W):((rel_b W) W)
% 256.17/256.51 Found (a1 W) as proof of ((rel_b W) V0)
% 256.17/256.51 Found (a1 W) as proof of ((rel_b W) V0)
% 256.17/256.51 Found (a1 W) as proof of ((rel_b W) V0)
% 256.17/256.51 Found (x3 (a1 W)) as proof of False
% 256.17/256.51 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of False
% 256.17/256.51 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V00)
% 256.17/256.51 Found (or_intror00 (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 261.05/261.39 Found ((or_intror0 ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 261.05/261.39 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 261.05/261.39 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 261.05/261.39 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 261.05/261.39 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_b (mdia_b (mbox_b p))) V)
% 261.05/261.39 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_b W) V0)->False)->((mbox_b (mdia_b (mbox_b p))) V))
% 261.05/261.39 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 261.05/261.39 Found a10:=(a1 W):((rel_b W) W)
% 261.05/261.39 Found (a1 W) as proof of ((rel_b W) V2)
% 261.05/261.39 Found (a1 W) as proof of ((rel_b W) V2)
% 261.05/261.39 Found (a1 W) as proof of ((rel_b W) V2)
% 261.05/261.39 Found (x6 (a1 W)) as proof of False
% 261.05/261.39 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of False
% 261.05/261.39 Found (fun (x6:(((rel_b W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_b W) V2)->False)->False)
% 261.05/261.39 Found a10:=(a1 V0):((rel_b V0) V0)
% 261.05/261.39 Found (a1 V0) as proof of ((rel_b V0) V2)
% 261.05/261.39 Found (a1 V0) as proof of ((rel_b V0) V2)
% 261.05/261.39 Found (a1 V0) as proof of ((rel_b V0) V2)
% 261.05/261.39 Found (x5 (a1 V0)) as proof of False
% 261.05/261.39 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 261.05/261.39 Found (fun (x5:(((rel_b V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_b V0) V2)->False)->False)
% 267.73/268.12 Found a10:=(a1 W):((rel_b W) W)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (x5 (a1 W)) as proof of False
% 267.73/268.12 Found (fun (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of False
% 267.73/268.12 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 267.73/268.12 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((((rel_b W) V2)->False)->((mdia_b (mbox_b p)) V0))
% 267.73/268.12 Found a10:=(a1 W):((rel_b W) W)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V2)
% 267.73/268.12 Found (x5 (a1 W)) as proof of False
% 267.73/268.12 Found (fun (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of False
% 267.73/268.12 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 267.73/268.12 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((((rel_b W) V2)->False)->((mdia_b (mbox_b p)) V0))
% 267.73/268.12 Found x2:((rel_b V) V0)
% 267.73/268.12 Instantiate: V1:=V0:fofType
% 267.73/268.12 Found x2 as proof of ((rel_b S) V1)
% 267.73/268.12 Found (x4 x2) as proof of False
% 267.73/268.12 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of False
% 267.73/268.12 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 267.73/268.12 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 267.73/268.12 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 267.73/268.12 Found a10:=(a1 W):((rel_b W) W)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 267.73/268.12 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 267.73/268.12 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 267.73/268.12 Found a10:=(a1 W):((rel_b W) W)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found (a1 W) as proof of ((rel_b W) V0)
% 267.73/268.12 Found (x3 (a1 W)) as proof of False
% 267.73/268.12 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of False
% 267.73/268.12 Found (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))) as proof of ((mdia_b (mbox_b p)) V00)
% 267.73/268.12 Found (or_intror00 (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 267.73/268.12 Found ((or_intror0 ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 267.73/268.12 Found (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 274.18/274.50 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00))
% 274.18/274.50 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 274.18/274.50 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_b (mdia_b (mbox_b p))) V)
% 274.18/274.50 Found (fun (x3:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)) (fun (x4:((mbox_b (mnot (mbox_b p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_b W) V0)->False)->((mbox_b (mdia_b (mbox_b p))) V))
% 274.18/274.50 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found or_introl10:=(or_introl1 ((mdia_b (mbox_b p)) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found (or_introl1 ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b (mbox_b p)) V00)))
% 274.18/274.50 Found a10:=(a1 V0):((rel_b V0) V0)
% 274.18/274.50 Found (a1 V0) as proof of ((rel_b V0) V1)
% 274.18/274.50 Found (a1 V0) as proof of ((rel_b V0) V1)
% 274.18/274.50 Found (a1 V0) as proof of ((rel_b V0) V1)
% 274.18/274.50 Found (x3 (a1 V0)) as proof of False
% 274.18/274.50 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 274.18/274.50 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 274.18/274.50 Found a10:=(a1 S):((rel_b S) S)
% 274.18/274.50 Found (a1 S) as proof of ((rel_b S) V1)
% 274.18/274.50 Found (a1 S) as proof of ((rel_b S) V1)
% 274.18/274.50 Found (a1 S) as proof of ((rel_b S) V1)
% 274.18/274.50 Found (x4 (a1 S)) as proof of False
% 274.18/274.50 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of False
% 274.18/274.50 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 274.18/274.50 Found a10:=(a1 W):((rel_b W) W)
% 274.18/274.50 Found (a1 W) as proof of ((rel_b W) V2)
% 274.18/274.50 Found (a1 W) as proof of ((rel_b W) V2)
% 274.18/274.50 Found (a1 W) as proof of ((rel_b W) V2)
% 274.18/274.50 Found (x5 (a1 W)) as proof of False
% 274.18/274.50 Found (fun (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of False
% 274.18/274.50 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((mdia_b (mbox_b p)) V0)
% 274.18/274.50 Found (fun (x5:(((rel_b W) V2)->False)) (x6:((mbox_b (mnot (mbox_b p))) V0))=> (x5 (a1 W))) as proof of ((((rel_b W) V2)->False)->((mdia_b (mbox_b p)) V0))
% 274.18/274.50 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 274.18/274.50 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 280.22/280.54 Found a10:=(a1 W):((rel_b W) W)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found a10:=(a1 W):((rel_b W) W)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found (a1 W) as proof of ((rel_b W) V0)
% 280.22/280.54 Found a10:=(a1 S):((rel_b S) S)
% 280.22/280.54 Found (a1 S) as proof of ((rel_b S) V1)
% 280.22/280.54 Found (a1 S) as proof of ((rel_b S) V1)
% 280.22/280.54 Found (a1 S) as proof of ((rel_b S) V1)
% 280.22/280.54 Found (x5 (a1 S)) as proof of False
% 280.22/280.54 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 280.22/280.54 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 280.22/280.54 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 280.22/280.54 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 280.22/280.54 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 280.22/280.54 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 290.03/290.42 Found a10:=(a1 S):((rel_b S) S)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (x4 (a1 S)) as proof of False
% 290.03/290.42 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of False
% 290.03/290.42 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 290.03/290.42 Found a10:=(a1 V0):((rel_b V0) V0)
% 290.03/290.42 Found (a1 V0) as proof of ((rel_b V0) V1)
% 290.03/290.42 Found (a1 V0) as proof of ((rel_b V0) V1)
% 290.03/290.42 Found (a1 V0) as proof of ((rel_b V0) V1)
% 290.03/290.42 Found (x3 (a1 V0)) as proof of False
% 290.03/290.42 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 290.03/290.42 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 290.03/290.42 Found a10:=(a1 S):((rel_b S) S)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (x3 (a1 S)) as proof of False
% 290.03/290.42 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of False
% 290.03/290.42 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V0)
% 290.03/290.42 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->((mdia_b ((mbox rel_b) p)) V0))
% 290.03/290.42 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 290.03/290.42 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 290.03/290.42 Found a10:=(a1 W):((rel_b W) W)
% 290.03/290.42 Found (a1 W) as proof of ((rel_b W) V0)
% 290.03/290.42 Found (a1 W) as proof of ((rel_b W) V0)
% 290.03/290.42 Found (a1 W) as proof of ((rel_b W) V0)
% 290.03/290.42 Found x2:((rel_b V) V0)
% 290.03/290.42 Instantiate: V1:=V0:fofType;V:=W:fofType
% 290.03/290.42 Found x2 as proof of ((rel_b W) V1)
% 290.03/290.42 Found (x4 x2) as proof of False
% 290.03/290.42 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of False
% 290.03/290.42 Found (fun (x4:(((rel_b W) V1)->False))=> (x4 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 290.03/290.42 Found a10:=(a1 S):((rel_b S) S)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (x5 (a1 S)) as proof of False
% 290.03/290.42 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 290.03/290.42 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 290.03/290.42 Found a10:=(a1 S):((rel_b S) S)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (a1 S) as proof of ((rel_b S) V1)
% 290.03/290.42 Found (x5 (a1 S)) as proof of False
% 290.03/290.42 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of False
% 290.03/290.42 Found (fun (x5:(((rel_b S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 290.03/290.42 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 290.03/290.42 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 290.03/290.42 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V1)->False)) ((mdia_b ((mbox rel_b) p)) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mdia_b ((mbox rel_b) p)) V00)))
% 296.36/296.71 Found a10:=(a1 S):((rel_b S) S)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (x4 (a1 S)) as proof of False
% 296.36/296.71 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of False
% 296.36/296.71 Found (fun (x4:(((rel_b S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 296.36/296.71 Found a10:=(a1 V0):((rel_b V0) V0)
% 296.36/296.71 Found (a1 V0) as proof of ((rel_b V0) V1)
% 296.36/296.71 Found (a1 V0) as proof of ((rel_b V0) V1)
% 296.36/296.71 Found (a1 V0) as proof of ((rel_b V0) V1)
% 296.36/296.71 Found (x3 (a1 V0)) as proof of False
% 296.36/296.71 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 296.36/296.71 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 296.36/296.71 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mdia_b ((mbox rel_b) p)) V1)))
% 296.36/296.71 Found a10:=(a1 S):((rel_b S) S)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (a1 S) as proof of ((rel_b S) V1)
% 296.36/296.71 Found (x3 (a1 S)) as proof of False
% 296.36/296.71 Found (fun (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of False
% 296.36/296.71 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((mdia_b ((mbox rel_b) p)) V0)
% 296.36/296.71 Found (fun (x3:(((rel_b S) V1)->False)) (x4:((mbox_b (mnot ((mbox rel_b) p))) V0))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->((mdia_b ((mbox rel_b) p)) V0))
% 296.36/296.71 Found or_introl10:=(or_introl1 ((mdia_b ((mbox rel_b) p)) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found (or_introl1 ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b S) V2)->False)) ((mdia_b ((mbox rel_b) p)) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mdia_b ((mbox rel_b) p)) V0)))
% 296.36/296.71 Found or_introl00:=(or_introl0 ((mdia_b (mbox_b p)) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)))
% 296.36/296.71 Found (or_introl0 ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_b (mbox_b p)) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mdia_b (mbox_b p)) V0)))
% 296.36/296.71 Found ((or_introl (((rel_b W) V1)->False)) ((mdia_
%------------------------------------------------------------------------------