TSTP Solution File: SYO459^3 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO459^3 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 286.52s 286.85s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO459^3 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % RAMPerCPU : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Mar 12 22:07:42 EST 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.48/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4ceacf8>, <kernel.Type object at 0x2aaaf4ceaa70>) of role type named mu_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mu:Type
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4ceacb0>, <kernel.DependentProduct object at 0x2aaaf4ceacf8>) of role type named meq_ind_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.48/0.65 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.48/0.65 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4ceacf8>, <kernel.DependentProduct object at 0x2aaaf4ceab00>) of role type named meq_prop_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.48/0.65 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4ceab90>, <kernel.DependentProduct object at 0x2aaaf4ceacb0>) of role type named mnot_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.48/0.65 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4ceacb0>, <kernel.DependentProduct object at 0x2aaaf4cea488>) of role type named mor_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.48/0.65 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4cea488>, <kernel.DependentProduct object at 0x2aaaf4cea5f0>) of role type named mand_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.48/0.65 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2aaaf4cea5f0>, <kernel.DependentProduct object at 0x2aaaf4cea518>) of role type named mimplies_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.50/0.66 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4cea518>, <kernel.DependentProduct object at 0x2aaaf4cea830>) of role type named mimplied_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.66 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.50/0.66 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.50/0.66 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4cea830>, <kernel.DependentProduct object at 0x2aaaf4ceacb0>) of role type named mequiv_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.66 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.50/0.66 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.50/0.66 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4ceacb0>, <kernel.DependentProduct object at 0x2aaaf4cea488>) of role type named mxor_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.66 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.50/0.66 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.50/0.66 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4ceacf8>, <kernel.DependentProduct object at 0x2aaaf4cea830>) of role type named mforall_ind_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.50/0.66 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.50/0.66 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.50/0.66 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4cea830>, <kernel.DependentProduct object at 0x2aaaf4ceaa70>) of role type named mforall_prop_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.50/0.66 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.50/0.66 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.50/0.66 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2aaaf4ceaa70>, <kernel.DependentProduct object at 0x2aaaf4cea5f0>) of role type named mexists_ind_type
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.50/0.66 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.50/0.67 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.50/0.67 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4cea5f0>, <kernel.DependentProduct object at 0x2aaaf4cea908>) of role type named mexists_prop_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.50/0.67 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.50/0.67 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.50/0.67 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4cea908>, <kernel.DependentProduct object at 0x2aaaf4cea3f8>) of role type named mtrue_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mtrue:(fofType->Prop)
% 0.50/0.67 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.50/0.67 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.50/0.67 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4cea5f0>, <kernel.DependentProduct object at 0x2aaaf4cea050>) of role type named mfalse_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mfalse:(fofType->Prop)
% 0.50/0.67 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.50/0.67 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.50/0.67 Defined: mfalse:=(mnot mtrue)
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4cea950>, <kernel.DependentProduct object at 0x2aaaf4cea050>) of role type named mbox_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.67 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.50/0.67 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.50/0.67 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4cea908>, <kernel.DependentProduct object at 0x2aaaf4cea950>) of role type named mdia_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.50/0.67 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.50/0.67 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.50/0.67 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2aaaf4ceacb0>, <kernel.DependentProduct object at 0x283cc20>) of role type named mreflexive_type
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.50/0.67 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.50/0.67 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.50/0.67 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2aaaf4ceacb0>, <kernel.DependentProduct object at 0x283cdd0>) of role type named msymmetric_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.50/0.68 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.50/0.68 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x2aaaf4cea950>, <kernel.DependentProduct object at 0x283ccb0>) of role type named mserial_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.50/0.68 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.50/0.68 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x283ccb0>, <kernel.DependentProduct object at 0x283c9e0>) of role type named mtransitive_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.50/0.68 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.50/0.68 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x283ce18>, <kernel.DependentProduct object at 0x2862ef0>) of role type named meuclidean_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.50/0.68 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.50/0.68 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x283c638>, <kernel.DependentProduct object at 0x28625a8>) of role type named mpartially_functional_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.50/0.68 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.50/0.68 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.50/0.68 FOF formula (<kernel.Constant object at 0x283c638>, <kernel.DependentProduct object at 0x2862ef0>) of role type named mfunctional_type
% 0.50/0.68 Using role type
% 0.50/0.68 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.50/0.68 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.50/0.69 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.50/0.69 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x283c638>, <kernel.DependentProduct object at 0x2862c68>) of role type named mweakly_dense_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.50/0.69 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.50/0.69 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x2862c68>, <kernel.DependentProduct object at 0x28626c8>) of role type named mweakly_connected_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.50/0.69 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.50/0.69 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x28626c8>, <kernel.DependentProduct object at 0x28624d0>) of role type named mweakly_directed_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.50/0.69 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.50/0.69 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.50/0.69 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x28629e0>, <kernel.DependentProduct object at 0x28625a8>) of role type named mvalid_type
% 0.50/0.69 Using role type
% 0.50/0.69 Declaring mvalid:((fofType->Prop)->Prop)
% 0.50/0.69 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.50/0.69 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.50/0.69 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.50/0.69 FOF formula (<kernel.Constant object at 0x28626c8>, <kernel.DependentProduct object at 0x2aaaf4ce8200>) of role type named minvalid_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring minvalid:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.50/0.70 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x28626c8>, <kernel.DependentProduct object at 0x2aaaf4ce8560>) of role type named msatisfiable_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.50/0.70 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x2aaaf4ce83f8>, <kernel.DependentProduct object at 0x2aaaf4ce8638>) of role type named mcountersatisfiable_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.50/0.70 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.50/0.70 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^3.ax, trying next directory
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x2aaaf4ceae18>, <kernel.DependentProduct object at 0x2aaaf4cea638>) of role type named rel_m_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring rel_m:(fofType->(fofType->Prop))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x2aaaf4ceab48>, <kernel.DependentProduct object at 0x2aaaf4cead88>) of role type named mbox_m_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mbox_m:((fofType->Prop)->(fofType->Prop))
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_m) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_m W) V)->False)) (Phi V))))) of role definition named mbox_m
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_m) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_m W) V)->False)) (Phi V)))))
% 0.50/0.70 Defined: mbox_m:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_m W) V)->False)) (Phi V))))
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x2aaaf4cead88>, <kernel.DependentProduct object at 0x2aaaf4cea878>) of role type named mdia_m_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring mdia_m:((fofType->Prop)->(fofType->Prop))
% 0.50/0.70 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_m) (fun (Phi:(fofType->Prop))=> (mnot (mbox_m (mnot Phi))))) of role definition named mdia_m
% 0.50/0.70 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_m) (fun (Phi:(fofType->Prop))=> (mnot (mbox_m (mnot Phi)))))
% 0.50/0.70 Defined: mdia_m:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_m (mnot Phi))))
% 0.50/0.70 FOF formula (mreflexive rel_m) of role axiom named a1
% 0.50/0.70 A new axiom: (mreflexive rel_m)
% 0.50/0.70 FOF formula (<kernel.Constant object at 0x285ffc8>, <kernel.DependentProduct object at 0x2aaafc7b8050>) of role type named p_type
% 0.50/0.70 Using role type
% 0.50/0.70 Declaring p:(fofType->Prop)
% 0.50/0.70 FOF formula (mvalid ((mimplies (mdia_m (mbox_m p))) (mdia_m (mbox_m (mdia_m (mbox_m p)))))) of role conjecture named prove
% 0.50/0.70 Conjecture to prove = (mvalid ((mimplies (mdia_m (mbox_m p))) (mdia_m (mbox_m (mdia_m (mbox_m p)))))):Prop
% 0.50/0.70 Parameter mu_DUMMY:mu.
% 0.50/0.70 Parameter fofType_DUMMY:fofType.
% 0.50/0.70 We need to prove ['(mvalid ((mimplies (mdia_m (mbox_m p))) (mdia_m (mbox_m (mdia_m (mbox_m p))))))']
% 0.50/0.70 Parameter mu:Type.
% 0.50/0.70 Parameter fofType:Type.
% 0.50/0.70 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.50/0.70 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.50/0.70 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.50/0.70 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.50/0.70 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.50/0.70 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.50/0.70 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.50/0.70 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 4.69/4.87 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).
% 4.69/4.87 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.69/4.87 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.69/4.87 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.69/4.87 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.69/4.87 Parameter rel_m:(fofType->(fofType->Prop)).
% 4.69/4.87 Definition mbox_m:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_m W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.69/4.87 Definition mdia_m:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_m (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.69/4.87 Axiom a1:(mreflexive rel_m).
% 4.69/4.87 Parameter p:(fofType->Prop).
% 4.69/4.87 Trying to prove (mvalid ((mimplies (mdia_m (mbox_m p))) (mdia_m (mbox_m (mdia_m (mbox_m p))))))
% 4.69/4.87 Found a10:=(a1 W):((rel_m W) W)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (x1 (a1 W)) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 4.69/4.87 Found a10:=(a1 W):((rel_m W) W)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (x1 (a1 W)) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 4.69/4.87 Found a10:=(a1 W):((rel_m W) W)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (x1 (a1 W)) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 4.69/4.87 Found a10:=(a1 W):((rel_m W) W)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (a1 W) as proof of ((rel_m W) V)
% 4.69/4.87 Found (x1 (a1 W)) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.69/4.87 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 4.69/4.87 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 4.69/4.87 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (x3 (a1 W)) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (x3 (a1 W)) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 8.96/9.16 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (x3 (a1 W)) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V0)
% 8.96/9.16 Found (x3 (a1 W)) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.96/9.16 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (x1 (a1 W)) as proof of False
% 8.96/9.16 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.96/9.16 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 8.96/9.16 Found a10:=(a1 W):((rel_m W) W)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (a1 W) as proof of ((rel_m W) V)
% 8.96/9.16 Found (x1 (a1 W)) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 14.67/14.84 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found a10:=(a1 W):((rel_m W) W)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (x1 (a1 W)) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 14.67/14.84 Found a10:=(a1 W):((rel_m W) W)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V)
% 14.67/14.84 Found (x1 (a1 W)) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 14.67/14.84 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 14.67/14.84 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 14.67/14.84 Found a10:=(a1 W):((rel_m W) W)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (x3 (a1 W)) as proof of False
% 14.67/14.84 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 14.67/14.84 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 14.67/14.84 Found a10:=(a1 W):((rel_m W) W)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (a1 W) as proof of ((rel_m W) V0)
% 14.67/14.84 Found (x3 (a1 W)) as proof of False
% 14.67/14.84 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 14.67/14.84 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 14.67/14.84 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 14.67/14.84 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 14.67/14.84 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (x1 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (x1 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 23.32/23.48 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (x3 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (x3 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (x1 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V)
% 23.32/23.48 Found (x1 (a1 W)) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 23.32/23.48 Found a10:=(a1 V):((rel_m V) V)
% 23.32/23.48 Found (a1 V) as proof of ((rel_m V) V0)
% 23.32/23.48 Found (a1 V) as proof of ((rel_m V) V0)
% 23.32/23.48 Found (a1 V) as proof of ((rel_m V) V0)
% 23.32/23.48 Found (x1 (a1 V)) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 23.32/23.48 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 23.32/23.48 Found a10:=(a1 W):((rel_m W) W)
% 23.32/23.48 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 V):((rel_m V) V)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (x1 (a1 V)) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 V):((rel_m V) V)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (x1 (a1 V)) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 30.11/30.34 Found a10:=(a1 V):((rel_m V) V)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (x1 (a1 V)) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 V):((rel_m V) V)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (x1 (a1 V)) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 30.11/30.34 Found a10:=(a1 V):((rel_m V) V)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (a1 V) as proof of ((rel_m V) V0)
% 30.11/30.34 Found (x1 (a1 V)) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.11/30.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 30.11/30.34 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 30.11/30.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 30.11/30.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 30.11/30.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 30.11/30.34 Found a10:=(a1 W):((rel_m W) W)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found (a1 W) as proof of ((rel_m W) V0)
% 30.11/30.34 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (x3 (a1 W)) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 33.12/33.31 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (x3 (a1 W)) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (x3 (a1 W)) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.12/33.31 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found a10:=(a1 W):((rel_m W) W)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 33.12/33.31 Found (a1 W) as proof of ((rel_m W) V0)
% 36.94/37.12 Found (x3 (a1 W)) as proof of False
% 36.94/37.12 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 36.94/37.12 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 36.94/37.12 Found a10:=(a1 W):((rel_m W) W)
% 36.94/37.12 Found (a1 W) as proof of ((rel_m W) V0)
% 36.94/37.12 Found (a1 W) as proof of ((rel_m W) V0)
% 36.94/37.12 Found (a1 W) as proof of ((rel_m W) V0)
% 36.94/37.12 Found a10:=(a1 V):((rel_m V) V)
% 36.94/37.12 Found (a1 V) as proof of ((rel_m V) V0)
% 36.94/37.12 Found (a1 V) as proof of ((rel_m V) V0)
% 36.94/37.12 Found (a1 V) as proof of ((rel_m V) V0)
% 36.94/37.12 Found (x1 (a1 V)) as proof of False
% 36.94/37.12 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 36.94/37.12 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 36.94/37.12 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 36.94/37.12 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 36.94/37.12 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found a10:=(a1 W):((rel_m W) W)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (x3 (a1 W)) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 43.15/43.34 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 43.15/43.34 Found a10:=(a1 W):((rel_m W) W)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (x3 (a1 W)) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 43.15/43.34 Found a10:=(a1 W):((rel_m W) W)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (x3 (a1 W)) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 43.15/43.34 Found a10:=(a1 W):((rel_m W) W)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V0)
% 43.15/43.34 Found (x3 (a1 W)) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.15/43.34 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 43.15/43.34 Found a10:=(a1 W):((rel_m W) W)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V)
% 43.15/43.34 Found (a1 W) as proof of ((rel_m W) V)
% 43.15/43.34 Found (x1 (a1 W)) as proof of False
% 43.15/43.34 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 43.15/43.34 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 43.15/43.34 Found a10:=(a1 V):((rel_m V) V)
% 43.15/43.34 Found (a1 V) as proof of ((rel_m V) V0)
% 43.15/43.34 Found (a1 V) as proof of ((rel_m V) V0)
% 43.15/43.34 Found (a1 V) as proof of ((rel_m V) V0)
% 43.15/43.34 Found (x1 (a1 V)) as proof of False
% 43.15/43.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 43.15/43.34 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 56.99/57.23 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 56.99/57.23 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found a10:=(a1 W):((rel_m W) W)
% 56.99/57.23 Found (a1 W) as proof of ((rel_m W) V)
% 56.99/57.23 Found (a1 W) as proof of ((rel_m W) V)
% 56.99/57.23 Found (a1 W) as proof of ((rel_m W) V)
% 56.99/57.23 Found (x1 (a1 W)) as proof of False
% 56.99/57.23 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 56.99/57.23 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 56.99/57.23 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 56.99/57.23 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found a10:=(a1 W):((rel_m W) W)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (x3 (a1 W)) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 64.66/64.86 Found or_intror10:=(or_intror1 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)))
% 64.66/64.86 Found (or_intror1 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 64.66/64.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 64.66/64.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 64.66/64.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 64.66/64.86 Found a10:=(a1 W):((rel_m W) W)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (x3 (a1 W)) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 64.66/64.86 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 64.66/64.86 Found a10:=(a1 W):((rel_m W) W)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (x3 (a1 W)) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 64.66/64.86 Found a10:=(a1 W):((rel_m W) W)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found a10:=(a1 W):((rel_m W) W)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (a1 W) as proof of ((rel_m W) V0)
% 64.66/64.86 Found (x3 (a1 W)) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 64.66/64.86 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 64.66/64.86 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found or_intror10:=(or_intror1 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)))
% 71.62/71.85 Found (or_intror1 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 71.62/71.85 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 71.62/71.85 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 71.62/71.85 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 71.62/71.85 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 71.62/71.85 Found a10:=(a1 W):((rel_m W) W)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 71.62/71.85 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 71.62/71.85 Found a10:=(a1 W):((rel_m W) W)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V0)
% 71.62/71.85 Found a10:=(a1 W):((rel_m W) W)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V)
% 71.62/71.85 Found (a1 W) as proof of ((rel_m W) V)
% 71.62/71.85 Found (x1 (a1 W)) as proof of False
% 71.62/71.85 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 71.62/71.85 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 71.62/71.85 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 71.62/71.85 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found a10:=(a1 W):((rel_m W) W)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found x3:(((rel_m W) V0)->False)
% 77.58/77.78 Instantiate: V0:=V00:fofType;V:=W:fofType
% 77.58/77.78 Found x3 as proof of (((rel_m V) V00)->False)
% 77.58/77.78 Found (or_introl00 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 77.58/77.78 Found ((or_introl0 ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 77.58/77.78 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 77.58/77.78 Found a10:=(a1 W):((rel_m W) W)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found (a1 W) as proof of ((rel_m W) V0)
% 77.58/77.78 Found (x3 (a1 W)) as proof of False
% 77.58/77.78 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 77.58/77.78 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 77.58/77.78 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 77.58/77.78 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 77.58/77.78 Found (or_introl0 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 77.58/77.78 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 77.58/77.78 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 77.58/77.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found a10:=(a1 W):((rel_m W) W)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found a10:=(a1 W):((rel_m W) W)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (x3 (a1 W)) as proof of False
% 82.49/82.70 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.49/82.70 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 82.49/82.70 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 82.49/82.70 Found x3:(((rel_m W) V0)->False)
% 82.49/82.70 Instantiate: V0:=V00:fofType
% 82.49/82.70 Found x3 as proof of (((rel_m V) V00)->False)
% 82.49/82.70 Found (or_introl00 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 82.49/82.70 Found ((or_introl0 ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 82.49/82.70 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 82.49/82.70 Found a10:=(a1 W):((rel_m W) W)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (a1 W) as proof of ((rel_m W) V0)
% 82.49/82.70 Found (x3 (a1 W)) as proof of False
% 82.49/82.70 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.49/82.70 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 82.49/82.70 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 82.49/82.70 Found (or_introl0 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 82.49/82.70 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 82.49/82.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 87.08/87.35 Found or_intror10:=(or_intror1 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)))
% 87.08/87.35 Found (or_intror1 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 87.08/87.35 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 87.08/87.35 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 87.08/87.35 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 87.08/87.35 Found a10:=(a1 W):((rel_m W) W)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found a10:=(a1 W):((rel_m W) W)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 87.08/87.35 Found a10:=(a1 W):((rel_m W) W)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (a1 W) as proof of ((rel_m W) V0)
% 87.08/87.35 Found (x3 (a1 W)) as proof of False
% 87.08/87.35 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of False
% 87.08/87.35 Found (fun (x3:(((rel_m W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_m W) V0)->False)->False)
% 87.08/87.35 Found x2:((rel_m V) V0)
% 87.08/87.35 Instantiate: V1:=V0:fofType;V:=W:fofType
% 87.08/87.35 Found x2 as proof of ((rel_m W) V1)
% 87.08/87.35 Found (x4 x2) as proof of False
% 87.08/87.35 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 87.08/87.35 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 87.08/87.35 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 87.08/87.35 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 87.08/87.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 92.23/92.47 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found (or_introl0 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 92.23/92.47 Found a10:=(a1 W):((rel_m W) W)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (x5 (a1 W)) as proof of False
% 92.23/92.47 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 92.23/92.47 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 92.23/92.47 Found a10:=(a1 W):((rel_m W) W)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V0)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V0)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V0)
% 92.23/92.47 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 92.23/92.47 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 92.23/92.47 Found x2:((rel_m V) V0)
% 92.23/92.47 Instantiate: V1:=V0:fofType
% 92.23/92.47 Found x2 as proof of ((rel_m W) V1)
% 92.23/92.47 Found (x4 x2) as proof of False
% 92.23/92.47 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 92.23/92.47 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 92.23/92.47 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 92.23/92.47 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 92.23/92.47 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 92.23/92.47 Found a10:=(a1 W):((rel_m W) W)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (a1 W) as proof of ((rel_m W) V1)
% 92.23/92.47 Found (x5 (a1 W)) as proof of False
% 92.23/92.47 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 92.23/92.47 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 92.23/92.47 Found or_intror10:=(or_intror1 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)))
% 92.23/92.47 Found (or_intror1 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 95.28/95.53 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 95.28/95.53 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 95.28/95.53 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 95.28/95.53 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 95.28/95.53 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found (or_introl0 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 95.28/95.53 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 95.28/95.53 Found a10:=(a1 W):((rel_m W) W)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V1)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V1)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V1)
% 95.28/95.53 Found (x5 (a1 W)) as proof of False
% 95.28/95.53 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 95.28/95.53 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 95.28/95.53 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found (or_introl0 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 95.28/95.53 Found a10:=(a1 W):((rel_m W) W)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V)
% 95.28/95.53 Found (a1 W) as proof of ((rel_m W) V)
% 107.18/107.39 Found (x1 (a1 W)) as proof of False
% 107.18/107.39 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of False
% 107.18/107.39 Found (fun (x1:(((rel_m W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_m W) V)->False)->False)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (x5 (a1 W)) as proof of False
% 107.18/107.39 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 107.18/107.39 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 107.18/107.39 Found a10:=(a1 V0):((rel_m V0) V0)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (x3 (a1 V0)) as proof of False
% 107.18/107.39 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 107.18/107.39 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (x4 (a1 W)) as proof of False
% 107.18/107.39 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 107.18/107.39 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V0)
% 107.18/107.39 Found a10:=(a1 V0):((rel_m V0) V0)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (a1 V0) as proof of ((rel_m V0) V1)
% 107.18/107.39 Found (x3 (a1 V0)) as proof of False
% 107.18/107.39 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 107.18/107.39 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 107.18/107.39 Found (x4 (a1 W)) as proof of False
% 107.18/107.39 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 107.18/107.39 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 107.18/107.39 Found x3:(((rel_m W) V0)->False)
% 107.18/107.39 Instantiate: V0:=V00:fofType;V:=W:fofType
% 107.18/107.39 Found x3 as proof of (((rel_m V) V00)->False)
% 107.18/107.39 Found (or_introl00 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 107.18/107.39 Found ((or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 107.18/107.39 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 107.18/107.39 Found a10:=(a1 W):((rel_m W) W)
% 107.18/107.39 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (x3 (a1 W)) as proof of False
% 113.49/113.70 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 113.49/113.70 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 113.49/113.70 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 113.49/113.70 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 113.49/113.70 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 113.49/113.70 Found a10:=(a1 W):((rel_m W) W)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V0)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V0)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V0)
% 113.49/113.70 Found x3:(((rel_m W) V0)->False)
% 113.49/113.70 Instantiate: V0:=V00:fofType
% 113.49/113.70 Found x3 as proof of (((rel_m V) V00)->False)
% 113.49/113.70 Found (or_introl00 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 113.49/113.70 Found ((or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 113.49/113.70 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 113.49/113.70 Found a10:=(a1 W):((rel_m W) W)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (a1 W) as proof of ((rel_m W) V1)
% 113.49/113.70 Found (x3 (a1 W)) as proof of False
% 113.49/113.70 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 113.49/113.70 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 113.49/113.70 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 113.49/113.70 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 113.49/113.70 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 119.42/119.66 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 119.42/119.66 Found x2:((rel_m V) V0)
% 119.42/119.66 Instantiate: V1:=V0:fofType;V:=W:fofType
% 119.42/119.66 Found x2 as proof of ((rel_m W) V1)
% 119.42/119.66 Found (x4 x2) as proof of False
% 119.42/119.66 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 119.42/119.66 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 119.42/119.66 Found a10:=(a1 W):((rel_m W) W)
% 119.42/119.66 Found (a1 W) as proof of ((rel_m W) V1)
% 119.42/119.66 Found (a1 W) as proof of ((rel_m W) V1)
% 119.42/119.66 Found (a1 W) as proof of ((rel_m W) V1)
% 119.42/119.66 Found (x5 (a1 W)) as proof of False
% 119.42/119.66 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 119.42/119.66 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 119.42/119.66 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 119.42/119.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 125.08/125.30 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 125.08/125.30 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 125.08/125.30 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 125.08/125.30 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 125.08/125.30 Found or_intror00:=(or_intror0 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)))
% 125.08/125.30 Found (or_intror0 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 125.08/125.30 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 125.08/125.30 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 125.08/125.30 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 125.08/125.30 Found a10:=(a1 V):((rel_m V) V)
% 125.08/125.30 Found (a1 V) as proof of ((rel_m V) V00)
% 125.08/125.30 Found (a1 V) as proof of ((rel_m V) V00)
% 125.08/125.30 Found (a1 V) as proof of ((rel_m V) V00)
% 125.08/125.30 Found (x2 (a1 V)) as proof of False
% 125.08/125.30 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 125.08/125.31 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 125.08/125.31 Found x2:((rel_m V) V0)
% 125.08/125.31 Instantiate: V1:=V0:fofType
% 125.08/125.31 Found x2 as proof of ((rel_m W) V1)
% 125.08/125.31 Found (x4 x2) as proof of False
% 125.08/125.31 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 125.08/125.31 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 125.08/125.31 Found a10:=(a1 W):((rel_m W) W)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (x5 (a1 W)) as proof of False
% 125.08/125.31 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 125.08/125.31 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 125.08/125.31 Found a10:=(a1 W):((rel_m W) W)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (a1 W) as proof of ((rel_m W) V1)
% 125.08/125.31 Found (x5 (a1 W)) as proof of False
% 125.08/125.31 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 125.08/125.31 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 128.09/128.35 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 128.09/128.35 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 128.09/128.35 Found a10:=(a1 V):((rel_m V) V)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (x1 (a1 V)) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 128.09/128.35 Found a10:=(a1 V):((rel_m V) V)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (x1 (a1 V)) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 128.09/128.35 Found a10:=(a1 V):((rel_m V) V)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (a1 V) as proof of ((rel_m V) V0)
% 128.09/128.35 Found (x1 (a1 V)) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 128.09/128.35 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 128.09/128.35 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 128.09/128.35 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 128.09/128.35 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 139.57/139.86 Found a10:=(a1 V):((rel_m V) V)
% 139.57/139.86 Found (a1 V) as proof of ((rel_m V) V00)
% 139.57/139.86 Found (a1 V) as proof of ((rel_m V) V00)
% 139.57/139.86 Found (a1 V) as proof of ((rel_m V) V00)
% 139.57/139.86 Found (x2 (a1 V)) as proof of False
% 139.57/139.86 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 139.57/139.86 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (x5 (a1 W)) as proof of False
% 139.57/139.86 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 139.57/139.86 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found or_intror00:=(or_intror0 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)))
% 139.57/139.86 Found (or_intror0 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 139.57/139.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 139.57/139.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 139.57/139.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 139.57/139.86 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V1)
% 139.57/139.86 Found (x4 (a1 W)) as proof of False
% 139.57/139.86 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 139.57/139.86 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 139.57/139.86 Found a10:=(a1 V0):((rel_m V0) V0)
% 139.57/139.86 Found (a1 V0) as proof of ((rel_m V0) V1)
% 139.57/139.86 Found (a1 V0) as proof of ((rel_m V0) V1)
% 139.57/139.86 Found (a1 V0) as proof of ((rel_m V0) V1)
% 139.57/139.86 Found (x3 (a1 V0)) as proof of False
% 139.57/139.86 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 139.57/139.86 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found a10:=(a1 W):((rel_m W) W)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (a1 W) as proof of ((rel_m W) V0)
% 139.57/139.86 Found (x3 (a1 W)) as proof of False
% 139.57/139.86 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of False
% 139.57/139.86 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V00)
% 139.57/139.86 Found (or_intror10 (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 139.57/139.86 Found ((or_intror1 ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 139.57/139.86 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 139.57/139.86 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 146.05/146.28 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 146.05/146.28 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m (mbox_m p))) V)
% 146.05/146.28 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m (mbox_m p))) V))
% 146.05/146.28 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 146.05/146.28 Found a10:=(a1 W):((rel_m W) W)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V0)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V0)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V0)
% 146.05/146.28 Found a10:=(a1 V0):((rel_m V0) V0)
% 146.05/146.28 Found (a1 V0) as proof of ((rel_m V0) V1)
% 146.05/146.28 Found (a1 V0) as proof of ((rel_m V0) V1)
% 146.05/146.28 Found (a1 V0) as proof of ((rel_m V0) V1)
% 146.05/146.28 Found (x3 (a1 V0)) as proof of False
% 146.05/146.28 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 146.05/146.28 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 146.05/146.28 Found a10:=(a1 W):((rel_m W) W)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (x4 (a1 W)) as proof of False
% 146.05/146.28 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 146.05/146.28 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 146.05/146.28 Found a10:=(a1 W):((rel_m W) W)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (a1 W) as proof of ((rel_m W) V1)
% 146.05/146.28 Found (x3 (a1 W)) as proof of False
% 146.05/146.28 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of False
% 146.05/146.28 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V0)
% 146.05/146.28 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m ((mbox rel_m) p)) V0))
% 155.49/155.78 Found a10:=(a1 W):((rel_m W) W)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found a10:=(a1 W):((rel_m W) W)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found a10:=(a1 W):((rel_m W) W)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V0)
% 155.49/155.78 Found (x3 (a1 W)) as proof of False
% 155.49/155.78 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of False
% 155.49/155.78 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V00)
% 155.49/155.78 Found (or_intror10 (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 155.49/155.78 Found ((or_intror1 ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 155.49/155.78 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 155.49/155.78 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 155.49/155.78 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 155.49/155.78 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m (mbox_m p))) V)
% 155.49/155.78 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m (mbox_m p))) V))
% 155.49/155.78 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found (or_introl0 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 155.49/155.78 Found a10:=(a1 W):((rel_m W) W)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V1)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V1)
% 155.49/155.78 Found (a1 W) as proof of ((rel_m W) V1)
% 155.49/155.78 Found (x3 (a1 W)) as proof of False
% 155.49/155.78 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of False
% 164.98/165.22 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V0)
% 164.98/165.22 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m ((mbox rel_m) p)) V0))
% 164.98/165.22 Found a10:=(a1 W):((rel_m W) W)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found x3:(((rel_m W) V0)->False)
% 164.98/165.22 Instantiate: V0:=V00:fofType;V:=W:fofType
% 164.98/165.22 Found x3 as proof of (((rel_m V) V00)->False)
% 164.98/165.22 Found (or_introl10 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 164.98/165.22 Found ((or_introl1 ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 164.98/165.22 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 164.98/165.22 Found a10:=(a1 W):((rel_m W) W)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)))
% 164.98/165.22 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)))
% 164.98/165.22 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 164.98/165.22 Found x2:((rel_m V) V0)
% 164.98/165.22 Instantiate: V1:=V0:fofType;V:=W:fofType
% 164.98/165.22 Found x2 as proof of ((rel_m W) V1)
% 164.98/165.22 Found (x4 x2) as proof of False
% 164.98/165.22 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 164.98/165.22 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 164.98/165.22 Found a10:=(a1 W):((rel_m W) W)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found a10:=(a1 W):((rel_m W) W)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found (a1 W) as proof of ((rel_m W) V0)
% 164.98/165.22 Found a10:=(a1 V):((rel_m V) V)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V0)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V0)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V0)
% 164.98/165.22 Found (x1 (a1 V)) as proof of False
% 164.98/165.22 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 164.98/165.22 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 164.98/165.22 Found a10:=(a1 V):((rel_m V) V)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V00)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V00)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V00)
% 164.98/165.22 Found (x2 (a1 V)) as proof of False
% 164.98/165.22 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 164.98/165.22 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 164.98/165.22 Found a10:=(a1 V):((rel_m V) V)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V0)
% 164.98/165.22 Found (a1 V) as proof of ((rel_m V) V0)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V0)
% 172.95/173.23 Found (x1 (a1 V)) as proof of False
% 172.95/173.23 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 172.95/173.23 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 172.95/173.23 Found a10:=(a1 V):((rel_m V) V)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V0)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V0)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V0)
% 172.95/173.23 Found (x1 (a1 V)) as proof of False
% 172.95/173.23 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 172.95/173.23 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 172.95/173.23 Found x3:(((rel_m W) V0)->False)
% 172.95/173.23 Instantiate: V0:=V00:fofType
% 172.95/173.23 Found x3 as proof of (((rel_m V) V00)->False)
% 172.95/173.23 Found (or_introl10 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 172.95/173.23 Found ((or_introl1 ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 172.95/173.23 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 172.95/173.23 Found a10:=(a1 W):((rel_m W) W)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)))
% 172.95/173.23 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found or_intror00:=(or_intror0 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)))
% 172.95/173.23 Found (or_intror0 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 172.95/173.23 Found x2:((rel_m V) V0)
% 172.95/173.23 Instantiate: V1:=V0:fofType
% 172.95/173.23 Found x2 as proof of ((rel_m W) V1)
% 172.95/173.23 Found (x4 x2) as proof of False
% 172.95/173.23 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 172.95/173.23 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 172.95/173.23 Found a10:=(a1 W):((rel_m W) W)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found a10:=(a1 W):((rel_m W) W)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found a10:=(a1 V):((rel_m V) V)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V00)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V00)
% 172.95/173.23 Found (a1 V) as proof of ((rel_m V) V00)
% 172.95/173.23 Found (x2 (a1 V)) as proof of False
% 172.95/173.23 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 172.95/173.23 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 172.95/173.23 Found a10:=(a1 W):((rel_m W) W)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found (a1 W) as proof of ((rel_m W) V0)
% 172.95/173.23 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)))
% 181.60/181.89 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 181.60/181.89 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 181.60/181.89 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 181.60/181.89 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 181.60/181.89 Found ((or_intror ((mdia_m (mbox_m p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m (mbox_m p)) V0)) (((rel_m V) V0)->False)))
% 181.60/181.89 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found (or_introl1 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found x2:((rel_m V) V0)
% 181.60/181.89 Instantiate: V1:=V0:fofType;V:=W:fofType
% 181.60/181.89 Found x2 as proof of ((rel_m W) V1)
% 181.60/181.89 Found (x4 x2) as proof of False
% 181.60/181.89 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 181.60/181.89 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 181.60/181.89 Found a10:=(a1 W):((rel_m W) W)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found a10:=(a1 W):((rel_m W) W)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found (a1 W) as proof of ((rel_m W) V0)
% 181.60/181.89 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found (or_introl1 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 181.60/181.89 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 181.60/181.89 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 186.76/187.01 Found a10:=(a1 W):((rel_m W) W)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found x2:((rel_m V) V0)
% 186.76/187.01 Instantiate: V1:=V0:fofType
% 186.76/187.01 Found x2 as proof of ((rel_m W) V1)
% 186.76/187.01 Found (x4 x2) as proof of False
% 186.76/187.01 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 186.76/187.01 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 186.76/187.01 Found or_intror00:=(or_intror0 (((rel_m W) V1)->False)):((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)))
% 186.76/187.01 Found (or_intror0 (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 186.76/187.01 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 186.76/187.01 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 186.76/187.01 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 186.76/187.01 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V1)->False)) as proof of ((((rel_m W) V1)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 186.76/187.01 Found a10:=(a1 W):((rel_m W) W)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V0)
% 186.76/187.01 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 186.76/187.01 Found a10:=(a1 W):((rel_m W) W)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V1)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V1)
% 186.76/187.01 Found (a1 W) as proof of ((rel_m W) V1)
% 186.76/187.01 Found (x4 (a1 W)) as proof of False
% 186.76/187.01 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 186.76/187.01 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 186.76/187.01 Found a10:=(a1 V0):((rel_m V0) V0)
% 186.76/187.01 Found (a1 V0) as proof of ((rel_m V0) V1)
% 186.76/187.01 Found (a1 V0) as proof of ((rel_m V0) V1)
% 186.76/187.01 Found (a1 V0) as proof of ((rel_m V0) V1)
% 186.76/187.01 Found (x3 (a1 V0)) as proof of False
% 192.36/192.62 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 192.36/192.62 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 192.36/192.62 Found a10:=(a1 W):((rel_m W) W)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V1)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V1)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V1)
% 192.36/192.62 Found (x5 (a1 W)) as proof of False
% 192.36/192.62 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 192.36/192.62 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 192.36/192.62 Found a10:=(a1 W):((rel_m W) W)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found a10:=(a1 W):((rel_m W) W)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found (a1 W) as proof of ((rel_m W) V0)
% 192.36/192.62 Found (x3 (a1 W)) as proof of False
% 192.36/192.62 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))) as proof of False
% 192.36/192.62 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V00)
% 192.36/192.62 Found (or_intror10 (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 192.36/192.62 Found ((or_intror1 ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 192.36/192.62 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 192.36/192.62 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 192.36/192.62 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 192.36/192.62 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m ((mbox rel_m) p))) V)
% 192.36/192.62 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m ((mbox rel_m) p))) V))
% 192.36/192.62 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 192.36/192.62 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 196.65/196.96 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 196.65/196.96 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found (or_introl1 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 196.65/196.96 Found a10:=(a1 W):((rel_m W) W)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V0)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V0)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V0)
% 196.65/196.96 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 196.65/196.96 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 196.65/196.96 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 196.65/196.96 Found a10:=(a1 W):((rel_m W) W)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V1)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V1)
% 196.65/196.96 Found (a1 W) as proof of ((rel_m W) V1)
% 196.65/196.96 Found (x4 (a1 W)) as proof of False
% 196.65/196.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 196.65/196.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 196.65/196.96 Found a10:=(a1 V0):((rel_m V0) V0)
% 196.65/196.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 196.65/196.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 196.65/196.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 196.65/196.96 Found (x3 (a1 V0)) as proof of False
% 196.65/196.96 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 196.65/196.96 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 202.16/202.44 Found a10:=(a1 W):((rel_m W) W)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (x3 (a1 W)) as proof of False
% 202.16/202.44 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 202.16/202.44 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 202.16/202.44 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 202.16/202.44 Found a10:=(a1 W):((rel_m W) W)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (x5 (a1 W)) as proof of False
% 202.16/202.44 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 202.16/202.44 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 202.16/202.44 Found a10:=(a1 W):((rel_m W) W)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V1)
% 202.16/202.44 Found (x5 (a1 W)) as proof of False
% 202.16/202.44 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 202.16/202.44 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 202.16/202.44 Found a10:=(a1 W):((rel_m W) W)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V0)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V0)
% 202.16/202.44 Found (a1 W) as proof of ((rel_m W) V0)
% 202.16/202.44 Found (x3 (a1 W)) as proof of False
% 202.16/202.44 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))) as proof of False
% 202.16/202.44 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V00)
% 202.16/202.44 Found (or_intror10 (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 202.16/202.44 Found ((or_intror1 ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 202.16/202.44 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 202.16/202.44 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 202.16/202.44 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 202.16/202.44 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m ((mbox rel_m) p))) V)
% 202.16/202.44 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m ((mbox rel_m) p))) V))
% 202.16/202.44 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 202.16/202.44 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 202.16/202.44 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 202.16/202.44 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 202.16/202.44 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found or_introl00:=(or_introl0 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found (or_introl0 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 208.51/208.76 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 208.51/208.76 Found a10:=(a1 W):((rel_m W) W)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found (or_introl1 ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m (mbox_m p)) V1)))
% 208.51/208.76 Found a10:=(a1 W):((rel_m W) W)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V0)
% 208.51/208.76 Found a10:=(a1 W):((rel_m W) W)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V1)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V1)
% 208.51/208.76 Found (a1 W) as proof of ((rel_m W) V1)
% 208.51/208.76 Found (x4 (a1 W)) as proof of False
% 208.51/208.76 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 208.51/208.76 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 208.51/208.76 Found a10:=(a1 V0):((rel_m V0) V0)
% 208.51/208.76 Found (a1 V0) as proof of ((rel_m V0) V1)
% 208.51/208.76 Found (a1 V0) as proof of ((rel_m V0) V1)
% 208.51/208.76 Found (a1 V0) as proof of ((rel_m V0) V1)
% 208.51/208.76 Found (x3 (a1 V0)) as proof of False
% 208.51/208.76 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 208.51/208.76 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 208.51/208.76 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)))
% 208.51/208.76 Found (or_introl1 ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 213.43/213.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 213.43/213.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 213.43/213.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 213.43/213.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m (mbox_m p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 213.43/213.68 Found a10:=(a1 W):((rel_m W) W)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (x3 (a1 W)) as proof of False
% 213.43/213.68 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 213.43/213.68 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 213.43/213.68 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 213.43/213.68 Found a10:=(a1 W):((rel_m W) W)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found a10:=(a1 W):((rel_m W) W)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V1)
% 213.43/213.68 Found (x5 (a1 W)) as proof of False
% 213.43/213.68 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 213.43/213.68 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 213.43/213.68 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)))
% 213.43/213.68 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)))
% 213.43/213.68 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 213.43/213.68 Found a10:=(a1 W):((rel_m W) W)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found (a1 W) as proof of ((rel_m W) V0)
% 213.43/213.68 Found x3:(((rel_m W) V0)->False)
% 213.43/213.68 Instantiate: V0:=V00:fofType;V:=W:fofType
% 213.43/213.68 Found x3 as proof of (((rel_m V) V00)->False)
% 213.43/213.68 Found (or_introl10 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 213.43/213.68 Found ((or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 213.43/213.68 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 213.43/213.68 Found a10:=(a1 W):((rel_m W) W)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found a10:=(a1 V0):((rel_m V0) V0)
% 222.72/222.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 222.72/222.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 222.72/222.96 Found (a1 V0) as proof of ((rel_m V0) V1)
% 222.72/222.96 Found (x3 (a1 V0)) as proof of False
% 222.72/222.96 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 222.72/222.96 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 222.72/222.96 Found a10:=(a1 W):((rel_m W) W)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (x4 (a1 W)) as proof of False
% 222.72/222.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 222.72/222.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 222.72/222.96 Found a10:=(a1 W):((rel_m W) W)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V1)
% 222.72/222.96 Found (x3 (a1 W)) as proof of False
% 222.72/222.96 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 222.72/222.96 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 222.72/222.96 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 222.72/222.96 Found x2:((rel_m V) V0)
% 222.72/222.96 Instantiate: V1:=V0:fofType;V:=W:fofType
% 222.72/222.96 Found x2 as proof of ((rel_m W) V1)
% 222.72/222.96 Found (x4 x2) as proof of False
% 222.72/222.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 222.72/222.96 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 222.72/222.96 Found a10:=(a1 W):((rel_m W) W)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)))
% 222.72/222.96 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 222.72/222.96 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 222.72/222.96 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 222.72/222.96 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 222.72/222.96 Found x3:(((rel_m W) V0)->False)
% 222.72/222.96 Instantiate: V0:=V00:fofType
% 222.72/222.96 Found x3 as proof of (((rel_m V) V00)->False)
% 222.72/222.96 Found (or_introl10 x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 222.72/222.96 Found ((or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 222.72/222.96 Found (((or_introl (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)) x3) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00))
% 222.72/222.96 Found a10:=(a1 W):((rel_m W) W)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found (a1 W) as proof of ((rel_m W) V0)
% 222.72/222.96 Found a10:=(a1 V):((rel_m V) V)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (x1 (a1 V)) as proof of False
% 222.72/222.96 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 222.72/222.96 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 222.72/222.96 Found a10:=(a1 V):((rel_m V) V)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 222.72/222.96 Found (x1 (a1 V)) as proof of False
% 222.72/222.96 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 222.72/222.96 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 222.72/222.96 Found a10:=(a1 V):((rel_m V) V)
% 222.72/222.96 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (x1 (a1 V)) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 231.17/231.45 Found a10:=(a1 V):((rel_m V) V)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (x1 (a1 V)) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 231.17/231.45 Found x4:((rel_m V) V0)
% 231.17/231.45 Instantiate: V2:=V0:fofType;V:=W:fofType
% 231.17/231.45 Found x4 as proof of ((rel_m W) V2)
% 231.17/231.45 Found (x6 x4) as proof of False
% 231.17/231.45 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of False
% 231.17/231.45 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of ((((rel_m W) V2)->False)->False)
% 231.17/231.45 Found a10:=(a1 V):((rel_m V) V)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (x1 (a1 V)) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 231.17/231.45 Found a10:=(a1 V):((rel_m V) V)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (a1 V) as proof of ((rel_m V) V0)
% 231.17/231.45 Found (x1 (a1 V)) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 231.17/231.45 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 231.17/231.45 Found x2:((rel_m V) V0)
% 231.17/231.45 Instantiate: V1:=V0:fofType
% 231.17/231.45 Found x2 as proof of ((rel_m W) V1)
% 231.17/231.45 Found (x4 x2) as proof of False
% 231.17/231.45 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 231.17/231.45 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 231.17/231.45 Found a10:=(a1 W):((rel_m W) W)
% 231.17/231.45 Found (a1 W) as proof of ((rel_m W) V1)
% 231.17/231.45 Found (a1 W) as proof of ((rel_m W) V1)
% 231.17/231.45 Found (a1 W) as proof of ((rel_m W) V1)
% 231.17/231.45 Found (x3 (a1 W)) as proof of False
% 231.17/231.45 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of False
% 231.17/231.45 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 231.17/231.45 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot (mbox_m p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m (mbox_m p)) V0))
% 231.17/231.45 Found or_intror10:=(or_intror1 (((rel_m W) V2)->False)):((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)))
% 231.17/231.45 Found (or_intror1 (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 231.17/231.45 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 231.17/231.45 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 231.17/231.45 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 231.17/231.45 Found ((or_intror ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m W) V2)->False)) as proof of ((((rel_m W) V2)->False)->((or ((mdia_m ((mbox rel_m) p)) V0)) (((rel_m V) V0)->False)))
% 231.17/231.45 Found x4:((rel_m V) V0)
% 231.17/231.45 Instantiate: V2:=V0:fofType
% 231.17/231.45 Found x4 as proof of ((rel_m W) V2)
% 231.17/231.45 Found (x6 x4) as proof of False
% 231.17/231.45 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of False
% 231.17/231.45 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of ((((rel_m W) V2)->False)->False)
% 231.17/231.45 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 231.17/231.45 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found x4:((rel_m V) V0)
% 239.57/239.83 Instantiate: V2:=V0:fofType
% 239.57/239.83 Found x4 as proof of ((rel_m W) V2)
% 239.57/239.83 Found (x6 x4) as proof of False
% 239.57/239.83 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of False
% 239.57/239.83 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of ((((rel_m W) V2)->False)->False)
% 239.57/239.83 Found x2:((rel_m V) V0)
% 239.57/239.83 Instantiate: V1:=V0:fofType;V:=W:fofType
% 239.57/239.83 Found x2 as proof of ((rel_m W) V1)
% 239.57/239.83 Found (x4 x2) as proof of False
% 239.57/239.83 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 239.57/239.83 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 239.57/239.83 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m V0) V3)->False)->((or (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 239.57/239.83 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 239.57/239.83 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 239.57/239.83 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 239.57/239.83 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 239.57/239.83 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 239.57/239.83 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 239.57/239.83 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 246.36/246.66 Found x4:((rel_m V) V0)
% 246.36/246.66 Instantiate: V2:=V0:fofType
% 246.36/246.66 Found x4 as proof of ((rel_m W) V2)
% 246.36/246.66 Found (x6 x4) as proof of False
% 246.36/246.66 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of False
% 246.36/246.66 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 x4)) as proof of ((((rel_m W) V2)->False)->False)
% 246.36/246.66 Found a10:=(a1 V):((rel_m V) V)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (x2 (a1 V)) as proof of False
% 246.36/246.66 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 246.36/246.66 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 246.36/246.66 Found a10:=(a1 V):((rel_m V) V)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (a1 V) as proof of ((rel_m V) V00)
% 246.36/246.66 Found (x2 (a1 V)) as proof of False
% 246.36/246.66 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 246.36/246.66 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 246.36/246.66 Found x2:((rel_m V) V0)
% 246.36/246.66 Instantiate: V1:=V0:fofType
% 246.36/246.66 Found x2 as proof of ((rel_m W) V1)
% 246.36/246.66 Found (x4 x2) as proof of False
% 246.36/246.66 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of False
% 246.36/246.66 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 x2)) as proof of ((((rel_m W) V1)->False)->False)
% 246.36/246.66 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 246.36/246.66 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m V0) V3)->False)->((or (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 246.36/246.66 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 246.36/246.66 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 246.36/246.66 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 246.36/246.66 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 253.68/253.97 Found a10:=(a1 V0):((rel_m V0) V0)
% 253.68/253.97 Found (a1 V0) as proof of ((rel_m V0) V1)
% 253.68/253.97 Found (a1 V0) as proof of ((rel_m V0) V1)
% 253.68/253.97 Found (a1 V0) as proof of ((rel_m V0) V1)
% 253.68/253.97 Found (x3 (a1 V0)) as proof of False
% 253.68/253.97 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 253.68/253.97 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 253.68/253.97 Found a10:=(a1 W):((rel_m W) W)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (x4 (a1 W)) as proof of False
% 253.68/253.97 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 253.68/253.97 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 253.68/253.97 Found a10:=(a1 W):((rel_m W) W)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V1)
% 253.68/253.97 Found (x5 (a1 W)) as proof of False
% 253.68/253.97 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 253.68/253.97 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 253.68/253.97 Found a10:=(a1 V):((rel_m V) V)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (x2 (a1 V)) as proof of False
% 253.68/253.97 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 253.68/253.97 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 253.68/253.97 Found a10:=(a1 W):((rel_m W) W)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V0)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V0)
% 253.68/253.97 Found (a1 W) as proof of ((rel_m W) V0)
% 253.68/253.97 Found a10:=(a1 V):((rel_m V) V)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (a1 V) as proof of ((rel_m V) V00)
% 253.68/253.97 Found (x2 (a1 V)) as proof of False
% 253.68/253.97 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of False
% 253.68/253.97 Found (fun (x2:(((rel_m V) V00)->False))=> (x2 (a1 V))) as proof of ((((rel_m V) V00)->False)->False)
% 253.68/253.97 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 253.68/253.97 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 253.68/253.97 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 257.93/258.23 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 257.93/258.23 Found a10:=(a1 W):((rel_m W) W)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V2)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V2)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V2)
% 257.93/258.23 Found (x6 (a1 W)) as proof of False
% 257.93/258.23 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of False
% 257.93/258.23 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_m W) V2)->False)->False)
% 257.93/258.23 Found a10:=(a1 V0):((rel_m V0) V0)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V2)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V2)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V2)
% 257.93/258.23 Found (x5 (a1 V0)) as proof of False
% 257.93/258.23 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 257.93/258.23 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_m V0) V2)->False)->False)
% 257.93/258.23 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V2)):((((rel_m W) V3)->False)->((or (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found (or_introl1 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found a10:=(a1 W):((rel_m W) W)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V0)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V0)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V0)
% 257.93/258.23 Found a10:=(a1 V0):((rel_m V0) V0)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V1)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V1)
% 257.93/258.23 Found (a1 V0) as proof of ((rel_m V0) V1)
% 257.93/258.23 Found (x3 (a1 V0)) as proof of False
% 257.93/258.23 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 257.93/258.23 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 257.93/258.23 Found a10:=(a1 W):((rel_m W) W)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V1)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V1)
% 257.93/258.23 Found (a1 W) as proof of ((rel_m W) V1)
% 257.93/258.23 Found (x4 (a1 W)) as proof of False
% 257.93/258.23 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 257.93/258.23 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 257.93/258.23 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m W) V3)->False)->((or (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 257.93/258.23 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m V0) V3)->False)->((or (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 261.78/262.05 Found a10:=(a1 W):((rel_m W) W)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (x5 (a1 W)) as proof of False
% 261.78/262.05 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 261.78/262.05 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 261.78/262.05 Found a10:=(a1 W):((rel_m W) W)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (x5 (a1 W)) as proof of False
% 261.78/262.05 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 261.78/262.05 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 261.78/262.05 Found a10:=(a1 W):((rel_m W) W)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V1)
% 261.78/262.05 Found (x3 (a1 W)) as proof of False
% 261.78/262.05 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of False
% 261.78/262.05 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V0)
% 261.78/262.05 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m ((mbox rel_m) p)) V0))
% 261.78/262.05 Found a10:=(a1 W):((rel_m W) W)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V0)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V0)
% 261.78/262.05 Found (a1 W) as proof of ((rel_m W) V0)
% 261.78/262.05 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m ((mbox rel_m) p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m ((mbox rel_m) p)) V00)))
% 261.78/262.05 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V1)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 261.78/262.05 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 261.78/262.05 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V1)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V0) V1)->False)) ((mdia_m ((mbox rel_m) p)) V1)))
% 267.35/267.68 Found a10:=(a1 W):((rel_m W) W)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (x6 (a1 W)) as proof of False
% 267.35/267.68 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of False
% 267.35/267.68 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_m W) V2)->False)->False)
% 267.35/267.68 Found a10:=(a1 V0):((rel_m V0) V0)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (x5 (a1 V0)) as proof of False
% 267.35/267.68 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 267.35/267.68 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_m V0) V2)->False)->False)
% 267.35/267.68 Found a10:=(a1 V0):((rel_m V0) V0)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (a1 V0) as proof of ((rel_m V0) V2)
% 267.35/267.68 Found (x5 (a1 V0)) as proof of False
% 267.35/267.68 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 267.35/267.68 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_m V0) V2)->False)->False)
% 267.35/267.68 Found a10:=(a1 W):((rel_m W) W)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (x6 (a1 W)) as proof of False
% 267.35/267.68 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of False
% 267.35/267.68 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_m W) V2)->False)->False)
% 267.35/267.68 Found a10:=(a1 W):((rel_m W) W)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (a1 W) as proof of ((rel_m W) V2)
% 267.35/267.68 Found (x5 (a1 W)) as proof of False
% 267.35/267.68 Found (fun (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of False
% 267.35/267.68 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 267.35/267.68 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((((rel_m W) V2)->False)->((mdia_m (mbox_m p)) V0))
% 267.35/267.68 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V2)):((((rel_m W) V3)->False)->((or (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found (or_introl1 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 267.35/267.68 Found or_introl10:=(or_introl1 ((mdia_m ((mbox rel_m) p)) V0)):((((rel_m W) V2)->False)->((or (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 267.35/267.68 Found (or_introl1 ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 267.35/267.68 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V2)->False)) ((mdia_m ((mbox rel_m) p)) V0)) as proof of ((((rel_m W) V2)->False)->((or (((rel_m V) V0)->False)) ((mdia_m ((mbox rel_m) p)) V0)))
% 270.54/270.81 Found a10:=(a1 W):((rel_m W) W)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V0)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V0)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V0)
% 270.54/270.81 Found a10:=(a1 V0):((rel_m V0) V0)
% 270.54/270.81 Found (a1 V0) as proof of ((rel_m V0) V1)
% 270.54/270.81 Found (a1 V0) as proof of ((rel_m V0) V1)
% 270.54/270.81 Found (a1 V0) as proof of ((rel_m V0) V1)
% 270.54/270.81 Found (x3 (a1 V0)) as proof of False
% 270.54/270.81 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 270.54/270.81 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 270.54/270.81 Found a10:=(a1 W):((rel_m W) W)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (x4 (a1 W)) as proof of False
% 270.54/270.81 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 270.54/270.81 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 270.54/270.81 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m W) V3)->False)->((or (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m W) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m W) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found or_introl00:=(or_introl0 ((mdia_m (mbox_m p)) V2)):((((rel_m V0) V3)->False)->((or (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found (or_introl0 ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found ((or_introl (((rel_m V0) V3)->False)) ((mdia_m (mbox_m p)) V2)) as proof of ((((rel_m V0) V3)->False)->((or (((rel_m V1) V2)->False)) ((mdia_m (mbox_m p)) V2)))
% 270.54/270.81 Found a10:=(a1 W):((rel_m W) W)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (x5 (a1 W)) as proof of False
% 270.54/270.81 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of False
% 270.54/270.81 Found (fun (x5:(((rel_m W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 270.54/270.81 Found a10:=(a1 W):((rel_m W) W)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (a1 W) as proof of ((rel_m W) V1)
% 270.54/270.81 Found (x3 (a1 W)) as proof of False
% 270.54/270.81 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of False
% 270.54/270.81 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V0)
% 270.54/270.81 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m ((mbox rel_m) p)) V0))
% 274.93/275.25 Found a10:=(a1 V):((rel_m V) V)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (x1 (a1 V)) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 274.93/275.25 Found a10:=(a1 V):((rel_m V) V)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (x1 (a1 V)) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 274.93/275.25 Found a10:=(a1 V):((rel_m V) V)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (x1 (a1 V)) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 274.93/275.25 Found a10:=(a1 V):((rel_m V) V)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (a1 V) as proof of ((rel_m V) V0)
% 274.93/275.25 Found (x1 (a1 V)) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.93/275.25 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 274.93/275.25 Found a10:=(a1 W):((rel_m W) W)
% 274.93/275.25 Found (a1 W) as proof of ((rel_m W) V0)
% 274.93/275.25 Found (a1 W) as proof of ((rel_m W) V0)
% 274.93/275.25 Found (a1 W) as proof of ((rel_m W) V0)
% 274.93/275.25 Found (x3 (a1 W)) as proof of False
% 274.93/275.25 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of False
% 274.93/275.25 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V00)
% 274.93/275.25 Found (or_intror00 (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 274.93/275.25 Found ((or_intror0 ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 274.93/275.25 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 274.93/275.25 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 274.93/275.25 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 274.93/275.25 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m (mbox_m p))) V)
% 274.93/275.25 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m (mbox_m p))) V))
% 274.93/275.25 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 274.93/275.25 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 274.93/275.25 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 274.93/275.25 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 274.93/275.25 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 280.84/281.17 Found a10:=(a1 V):((rel_m V) V)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (x1 (a1 V)) as proof of False
% 280.84/281.17 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 280.84/281.17 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 280.84/281.17 Found a10:=(a1 V):((rel_m V) V)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (a1 V) as proof of ((rel_m V) V0)
% 280.84/281.17 Found (x1 (a1 V)) as proof of False
% 280.84/281.17 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of False
% 280.84/281.17 Found (fun (x1:(((rel_m V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_m V) V0)->False)->False)
% 280.84/281.17 Found a10:=(a1 V0):((rel_m V0) V0)
% 280.84/281.17 Found (a1 V0) as proof of ((rel_m V0) V2)
% 280.84/281.17 Found (a1 V0) as proof of ((rel_m V0) V2)
% 280.84/281.17 Found (a1 V0) as proof of ((rel_m V0) V2)
% 280.84/281.17 Found (x5 (a1 V0)) as proof of False
% 280.84/281.17 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 280.84/281.17 Found (fun (x5:(((rel_m V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_m V0) V2)->False)->False)
% 280.84/281.17 Found a10:=(a1 W):((rel_m W) W)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (x6 (a1 W)) as proof of False
% 280.84/281.17 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of False
% 280.84/281.17 Found (fun (x6:(((rel_m W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_m W) V2)->False)->False)
% 280.84/281.17 Found a10:=(a1 W):((rel_m W) W)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (x5 (a1 W)) as proof of False
% 280.84/281.17 Found (fun (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of False
% 280.84/281.17 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 280.84/281.17 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((((rel_m W) V2)->False)->((mdia_m (mbox_m p)) V0))
% 280.84/281.17 Found a10:=(a1 W):((rel_m W) W)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V2)
% 280.84/281.17 Found (x5 (a1 W)) as proof of False
% 280.84/281.17 Found (fun (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of False
% 280.84/281.17 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((mdia_m (mbox_m p)) V0)
% 280.84/281.17 Found (fun (x5:(((rel_m W) V2)->False)) (x6:((mbox_m (mnot (mbox_m p))) V0))=> (x5 (a1 W))) as proof of ((((rel_m W) V2)->False)->((mdia_m (mbox_m p)) V0))
% 280.84/281.17 Found a10:=(a1 W):((rel_m W) W)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V1)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V1)
% 280.84/281.17 Found (a1 W) as proof of ((rel_m W) V1)
% 280.84/281.17 Found (x4 (a1 W)) as proof of False
% 280.84/281.17 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of False
% 280.84/281.17 Found (fun (x4:(((rel_m W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_m W) V1)->False)->False)
% 280.84/281.17 Found a10:=(a1 V0):((rel_m V0) V0)
% 280.84/281.17 Found (a1 V0) as proof of ((rel_m V0) V1)
% 286.52/286.85 Found (a1 V0) as proof of ((rel_m V0) V1)
% 286.52/286.85 Found (a1 V0) as proof of ((rel_m V0) V1)
% 286.52/286.85 Found (x3 (a1 V0)) as proof of False
% 286.52/286.85 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 286.52/286.85 Found (fun (x3:(((rel_m V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_m V0) V1)->False)->False)
% 286.52/286.85 Found a10:=(a1 W):((rel_m W) W)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V1)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V1)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V1)
% 286.52/286.85 Found (x3 (a1 W)) as proof of False
% 286.52/286.85 Found (fun (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of False
% 286.52/286.85 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((mdia_m ((mbox rel_m) p)) V0)
% 286.52/286.85 Found (fun (x3:(((rel_m W) V1)->False)) (x4:((mbox_m (mnot ((mbox rel_m) p))) V0))=> (x3 (a1 W))) as proof of ((((rel_m W) V1)->False)->((mdia_m ((mbox rel_m) p)) V0))
% 286.52/286.85 Found a10:=(a1 W):((rel_m W) W)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found a10:=(a1 W):((rel_m W) W)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found (a1 W) as proof of ((rel_m W) V0)
% 286.52/286.85 Found (x3 (a1 W)) as proof of False
% 286.52/286.85 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of False
% 286.52/286.85 Found (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))) as proof of ((mdia_m (mbox_m p)) V00)
% 286.52/286.85 Found (or_intror00 (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 286.52/286.85 Found ((or_intror0 ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 286.52/286.85 Found (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 286.52/286.85 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00))
% 286.52/286.85 Found (fun (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_m V) V0)->False)) ((mdia_m (mbox_m p)) V0)))
% 286.52/286.85 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((mbox_m (mdia_m (mbox_m p))) V)
% 286.52/286.85 Found (fun (x3:(((rel_m W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)) (fun (x4:((mbox_m (mnot (mbox_m p))) V00))=> (x3 (a1 W))))) as proof of ((((rel_m W) V0)->False)->((mbox_m (mdia_m (mbox_m p))) V))
% 286.52/286.85 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found or_introl10:=(or_introl1 ((mdia_m (mbox_m p)) V00)):((((rel_m W) V1)->False)->((or (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found (or_introl1 ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)->((or (((rel_m V) V00)->False)) ((mdia_m (mbox_m p)) V00)))
% 286.52/286.85 Found ((or_introl (((rel_m W) V1)->False)) ((mdia_m (mbox_m p)) V00)) as proof of ((((rel_m W) V1)->False)-
%------------------------------------------------------------------------------