TSTP Solution File: SYO432^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO432^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:25 EDT 2022
% Result : Timeout 286.11s 286.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO432^1 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 16:27:04 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 0.38/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2ac636122128>, <kernel.Type object at 0x15d36c8>) of role type named mu_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring mu:Type
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x2ac636122128>, <kernel.DependentProduct object at 0x15d3050>) of role type named meq_ind_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.60 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.38/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x15d3050>, <kernel.DependentProduct object at 0x15d3098>) of role type named meq_prop_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.38/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.38/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x15d3560>, <kernel.DependentProduct object at 0x15d3dd0>) of role type named mnot_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x15d3dd0>, <kernel.DependentProduct object at 0x15d37a0>) of role type named mor_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.38/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.38/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x15d37a0>, <kernel.DependentProduct object at 0x15d3758>) of role type named mand_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.38/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.60 FOF formula (<kernel.Constant object at 0x15d3758>, <kernel.DependentProduct object at 0x15d3290>) of role type named mimplies_type
% 0.38/0.60 Using role type
% 0.38/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.38/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.60 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d3290>, <kernel.DependentProduct object at 0x15d35a8>) of role type named mimplied_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.38/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d35a8>, <kernel.DependentProduct object at 0x15d3dd0>) of role type named mequiv_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.38/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d3dd0>, <kernel.DependentProduct object at 0x15d37a0>) of role type named mxor_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.38/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.38/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d3050>, <kernel.DependentProduct object at 0x15d35a8>) of role type named mforall_ind_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.38/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.38/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d35a8>, <kernel.DependentProduct object at 0x15d3368>) of role type named mforall_prop_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.61 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.38/0.61 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.38/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.38/0.61 FOF formula (<kernel.Constant object at 0x15d3368>, <kernel.DependentProduct object at 0x15d3488>) of role type named mexists_ind_type
% 0.38/0.61 Using role type
% 0.38/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.38/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.38/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3488>, <kernel.DependentProduct object at 0x15d35f0>) of role type named mexists_prop_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.62 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.38/0.62 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.38/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d35f0>, <kernel.DependentProduct object at 0x15d3b90>) of role type named mtrue_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mtrue:(fofType->Prop)
% 0.38/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.38/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.38/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3b90>, <kernel.DependentProduct object at 0x15d39e0>) of role type named mfalse_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mfalse:(fofType->Prop)
% 0.38/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.38/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.38/0.62 Defined: mfalse:=(mnot mtrue)
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3488>, <kernel.DependentProduct object at 0x15d3d88>) of role type named mbox_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.38/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.38/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3d88>, <kernel.DependentProduct object at 0x15d3a28>) of role type named mdia_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.38/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.38/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3dd0>, <kernel.DependentProduct object at 0x15d3c20>) of role type named mreflexive_type
% 0.38/0.62 Using role type
% 0.38/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.38/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.38/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.38/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.38/0.62 FOF formula (<kernel.Constant object at 0x15d3488>, <kernel.DependentProduct object at 0x15cf710>) of role type named msymmetric_type
% 0.38/0.62 Using role type
% 0.47/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2ac62e62b908>, <kernel.DependentProduct object at 0x15d3c20>) of role type named mserial_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2ac62e62b440>, <kernel.DependentProduct object at 0x15d3f38>) of role type named mtransitive_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15d0b00>, <kernel.DependentProduct object at 0x15d3050>) of role type named meuclidean_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15d0b48>, <kernel.DependentProduct object at 0x15cf3f8>) of role type named mpartially_functional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.63 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x15d3d88>, <kernel.DependentProduct object at 0x15cf050>) of role type named mfunctional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x15d3d88>, <kernel.DependentProduct object at 0x15cf3f8>) of role type named mweakly_dense_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x15d3d88>, <kernel.DependentProduct object at 0x15cf710>) of role type named mweakly_connected_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x15cf710>, <kernel.DependentProduct object at 0x15cfd88>) of role type named mweakly_directed_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x15cf758>, <kernel.DependentProduct object at 0x15cf2d8>) of role type named mvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x15cf710>, <kernel.DependentProduct object at 0x2ac62e652200>) of role type named minvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x15cf9e0>, <kernel.DependentProduct object at 0x2ac62e6525f0>) of role type named msatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x15cfc20>, <kernel.DependentProduct object at 0x2ac62e6525f0>) of role type named mcountersatisfiable_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^4.ax, trying next directory
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2ac636122878>, <kernel.DependentProduct object at 0x2ac62e62b908>) of role type named rel_b_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring rel_b:(fofType->(fofType->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2ac636122878>, <kernel.DependentProduct object at 0x15d0b00>) of role type named mbox_b_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mbox_b:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_b) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V))))) of role definition named mbox_b
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_b) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V)))))
% 0.47/0.65 Defined: mbox_b:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2ac636122128>, <kernel.DependentProduct object at 0x2ac62e62b200>) of role type named mdia_b_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mdia_b:((fofType->Prop)->(fofType->Prop))
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_b) (fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi))))) of role definition named mdia_b
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_b) (fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi)))))
% 0.47/0.65 Defined: mdia_b:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi))))
% 0.47/0.65 FOF formula (mreflexive rel_b) of role axiom named a1
% 0.47/0.65 A new axiom: (mreflexive rel_b)
% 0.47/0.65 FOF formula (msymmetric rel_b) of role axiom named a2
% 0.47/0.65 A new axiom: (msymmetric rel_b)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x15d4170>, <kernel.DependentProduct object at 0x15ad5a8>) of role type named p_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p:(fofType->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x15d4e18>, <kernel.DependentProduct object at 0x15adcb0>) of role type named q_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring q:(fofType->Prop)
% 0.47/0.65 FOF formula (mvalid ((mimplies ((mand (mbox_b p)) (mbox_b (mdia_b (mbox_b ((mimplies p) q)))))) (mbox_b q))) of role conjecture named prove
% 0.47/0.65 Conjecture to prove = (mvalid ((mimplies ((mand (mbox_b p)) (mbox_b (mdia_b (mbox_b ((mimplies p) q)))))) (mbox_b q))):Prop
% 0.47/0.65 Parameter mu_DUMMY:mu.
% 0.47/0.65 Parameter fofType_DUMMY:fofType.
% 0.47/0.65 We need to prove ['(mvalid ((mimplies ((mand (mbox_b p)) (mbox_b (mdia_b (mbox_b ((mimplies p) q)))))) (mbox_b q)))']
% 0.47/0.65 Parameter mu:Type.
% 0.47/0.65 Parameter fofType:Type.
% 0.47/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.65 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.65 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 4.68/4.83 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).
% 4.68/4.83 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.68/4.83 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.68/4.83 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.68/4.83 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.68/4.83 Parameter rel_b:(fofType->(fofType->Prop)).
% 4.68/4.83 Definition mbox_b:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_b W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.68/4.83 Definition mdia_b:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_b (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.68/4.83 Axiom a1:(mreflexive rel_b).
% 4.68/4.83 Axiom a2:(msymmetric rel_b).
% 4.68/4.83 Parameter p:(fofType->Prop).
% 4.68/4.83 Parameter q:(fofType->Prop).
% 4.68/4.83 Trying to prove (mvalid ((mimplies ((mand (mbox_b p)) (mbox_b (mdia_b (mbox_b ((mimplies p) q)))))) (mbox_b q)))
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 S):((rel_b S) S)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (x1 (a1 S)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 S):((rel_b S) S)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (a1 S) as proof of ((rel_b S) V)
% 4.68/4.83 Found (x1 (a1 S)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.68/4.83 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 4.68/4.83 Found a10:=(a1 W):((rel_b W) W)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (a1 W) as proof of ((rel_b W) V)
% 4.68/4.83 Found (x1 (a1 W)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 W):((rel_b W) W)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (x1 (a1 W)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 W):((rel_b W) W)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V)
% 12.11/12.27 Found (x1 (a1 W)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found a10:=(a1 S):((rel_b S) S)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (a1 S) as proof of ((rel_b S) V)
% 12.11/12.27 Found (x1 (a1 S)) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 12.11/12.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 12.11/12.27 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 12.11/12.27 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 12.11/12.27 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 12.11/12.27 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 12.11/12.27 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 12.11/12.27 Found a10:=(a1 W):((rel_b W) W)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V0)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V0)
% 12.11/12.27 Found (a1 W) as proof of ((rel_b W) V0)
% 12.11/12.27 Found (x2 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (x2 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 13.55/13.80 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (x2 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V0)
% 13.55/13.80 Found (x2 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (x1 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (x1 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (x1 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (x1 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 13.55/13.80 Found a10:=(a1 W):((rel_b W) W)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (a1 W) as proof of ((rel_b W) V)
% 13.55/13.80 Found (x1 (a1 W)) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.55/13.80 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 18.56/18.72 Found a10:=(a1 W):((rel_b W) W)
% 18.56/18.72 Found (a1 W) as proof of ((rel_b W) V)
% 18.56/18.72 Found (a1 W) as proof of ((rel_b W) V)
% 18.56/18.72 Found (a1 W) as proof of ((rel_b W) V)
% 18.56/18.72 Found (x1 (a1 W)) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 18.56/18.72 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found a10:=(a1 S):((rel_b S) S)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (x2 (a1 S)) as proof of False
% 18.56/18.72 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 18.56/18.72 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 18.56/18.72 Found a10:=(a1 S):((rel_b S) S)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V0)
% 18.56/18.72 Found (x2 (a1 S)) as proof of False
% 18.56/18.72 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 18.56/18.72 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 18.56/18.72 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 18.56/18.72 Found a10:=(a1 S):((rel_b S) S)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (x1 (a1 S)) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 18.56/18.72 Found a10:=(a1 S):((rel_b S) S)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (x1 (a1 S)) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 18.56/18.72 Found a10:=(a1 S):((rel_b S) S)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (a1 S) as proof of ((rel_b S) V)
% 18.56/18.72 Found (x1 (a1 S)) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 18.56/18.72 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.92/24.17 Found a10:=(a1 S):((rel_b S) S)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (x1 (a1 S)) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.92/24.17 Found a10:=(a1 S):((rel_b S) S)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (x2 (a1 S)) as proof of False
% 23.92/24.17 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 23.92/24.17 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 23.92/24.17 Found a10:=(a1 S):((rel_b S) S)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V0)
% 23.92/24.17 Found (x2 (a1 S)) as proof of False
% 23.92/24.17 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 23.92/24.17 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 23.92/24.17 Found a10:=(a1 S):((rel_b S) S)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (x1 (a1 S)) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.92/24.17 Found a10:=(a1 S):((rel_b S) S)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (a1 S) as proof of ((rel_b S) V)
% 23.92/24.17 Found (x1 (a1 S)) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 23.92/24.17 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 23.92/24.17 Found a10:=(a1 W):((rel_b W) W)
% 23.92/24.17 Found (a1 W) as proof of ((rel_b W) V)
% 23.92/24.17 Found (a1 W) as proof of ((rel_b W) V)
% 23.92/24.17 Found (a1 W) as proof of ((rel_b W) V)
% 23.92/24.17 Found (x1 (a1 W)) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 23.92/24.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 23.92/24.17 Found a10:=(a1 W):((rel_b W) W)
% 23.92/24.17 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V)
% 26.18/26.41 Found (x1 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.18/26.41 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 26.18/26.41 Found a10:=(a1 W):((rel_b W) W)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V0)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V0)
% 26.18/26.41 Found (a1 W) as proof of ((rel_b W) V0)
% 26.18/26.41 Found (x2 (a1 W)) as proof of False
% 26.18/26.41 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 27.61/27.78 Found a10:=(a1 W):((rel_b W) W)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (x2 (a1 W)) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 27.61/27.78 Found a10:=(a1 W):((rel_b W) W)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (x2 (a1 W)) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 27.61/27.78 Found a10:=(a1 W):((rel_b W) W)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (x2 (a1 W)) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 27.61/27.78 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 27.61/27.78 Found a10:=(a1 W):((rel_b W) W)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (x2 (a1 W)) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 27.61/27.78 Found a10:=(a1 W):((rel_b W) W)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (a1 W) as proof of ((rel_b W) V0)
% 27.61/27.78 Found (x2 (a1 W)) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 27.61/27.78 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 34.02/34.27 Found a10:=(a1 W):((rel_b W) W)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (x2 (a1 W)) as proof of False
% 34.02/34.27 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 34.02/34.27 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 34.02/34.27 Found a10:=(a1 W):((rel_b W) W)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (a1 W) as proof of ((rel_b W) V0)
% 34.02/34.27 Found (x2 (a1 W)) as proof of False
% 34.02/34.27 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 34.02/34.27 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found a10:=(a1 S):((rel_b S) S)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (a1 S) as proof of ((rel_b S) V)
% 34.02/34.27 Found (x1 (a1 S)) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 34.02/34.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 34.02/34.27 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 34.02/34.27 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 34.02/34.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 34.02/34.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (x1 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (x1 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (x1 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V)
% 37.05/37.27 Found (x1 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (x2 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (x2 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (x2 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 37.05/37.27 Found a10:=(a1 S):((rel_b S) S)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (a1 S) as proof of ((rel_b S) V0)
% 37.05/37.27 Found (x2 (a1 S)) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 37.05/37.27 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 40.56/40.82 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 40.56/40.82 Found a10:=(a1 S):((rel_b S) S)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (x2 (a1 S)) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 40.56/40.82 Found a10:=(a1 S):((rel_b S) S)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (x2 (a1 S)) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 40.56/40.82 Found a10:=(a1 S):((rel_b S) S)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (x2 (a1 S)) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 40.56/40.82 Found a10:=(a1 S):((rel_b S) S)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (a1 S) as proof of ((rel_b S) V0)
% 40.56/40.82 Found (x2 (a1 S)) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 40.56/40.82 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 40.56/40.82 Found a10:=(a1 W):((rel_b W) W)
% 40.56/40.82 Found (a1 W) as proof of ((rel_b W) V)
% 40.56/40.82 Found (a1 W) as proof of ((rel_b W) V)
% 40.56/40.82 Found (a1 W) as proof of ((rel_b W) V)
% 40.56/40.82 Found (x1 (a1 W)) as proof of False
% 40.56/40.82 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.56/40.82 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 40.56/40.82 Found a10:=(a1 W):((rel_b W) W)
% 40.56/40.82 Found (a1 W) as proof of ((rel_b W) V)
% 40.56/40.82 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (x1 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (x1 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (x1 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (x1 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V)
% 46.95/47.17 Found (x1 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 46.95/47.17 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (x2 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 46.95/47.17 Found a10:=(a1 W):((rel_b W) W)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (a1 W) as proof of ((rel_b W) V0)
% 46.95/47.17 Found (x2 (a1 W)) as proof of False
% 46.95/47.17 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 46.95/47.17 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 46.95/47.17 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 46.95/47.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 53.80/54.05 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 53.80/54.05 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (x2 (a1 W)) as proof of False
% 53.80/54.05 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 53.80/54.05 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 53.80/54.05 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (x2 (a1 W)) as proof of False
% 53.80/54.05 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 53.80/54.05 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 53.80/54.05 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.05 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (x1 (a1 S)) as proof of False
% 53.80/54.05 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.05 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.05 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.05 Found (x1 (a1 S)) as proof of False
% 53.80/54.05 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.05 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.06 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (x1 (a1 S)) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.06 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (x1 (a1 S)) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.06 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (x1 (a1 S)) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.06 Found a10:=(a1 S):((rel_b S) S)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (a1 S) as proof of ((rel_b S) V)
% 53.80/54.06 Found (x1 (a1 S)) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 53.80/54.06 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 53.80/54.06 Found a10:=(a1 W):((rel_b W) W)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found (a1 W) as proof of ((rel_b W) V0)
% 53.80/54.06 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 53.80/54.06 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (x2 (a1 S)) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (x2 (a1 S)) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (x2 (a1 S)) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (x2 (a1 S)) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 65.63/65.86 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found a10:=(a1 S):((rel_b S) S)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found (a1 S) as proof of ((rel_b S) V0)
% 65.63/65.86 Found a10:=(a1 W):((rel_b W) W)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found a10:=(a1 W):((rel_b W) W)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 65.63/65.86 Found a10:=(a1 W):((rel_b W) W)
% 65.63/65.86 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (x2 (a1 W)) as proof of False
% 74.04/74.24 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 74.04/74.24 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 74.04/74.24 Found a10:=(a1 W):((rel_b W) W)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (a1 W) as proof of ((rel_b W) V0)
% 74.04/74.24 Found (x2 (a1 W)) as proof of False
% 74.04/74.24 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 75.59/75.87 Found a10:=(a1 W):((rel_b W) W)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (x2 (a1 W)) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 75.59/75.87 Found a10:=(a1 W):((rel_b W) W)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (x2 (a1 W)) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 75.59/75.87 Found a10:=(a1 W):((rel_b W) W)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (x2 (a1 W)) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 75.59/75.87 Found a10:=(a1 W):((rel_b W) W)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (a1 W) as proof of ((rel_b W) V0)
% 75.59/75.87 Found (x2 (a1 W)) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 75.59/75.87 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 75.59/75.87 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 75.59/75.87 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 77.88/78.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 77.88/78.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 77.88/78.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 77.88/78.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V)
% 77.88/78.09 Found (x1 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (x2 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (x2 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (x2 (a1 W)) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 77.88/78.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 77.88/78.09 Found a10:=(a1 W):((rel_b W) W)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 77.88/78.09 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (x2 (a1 W)) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 89.40/89.63 Found a10:=(a1 W):((rel_b W) W)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (x2 (a1 W)) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 89.40/89.63 Found a10:=(a1 W):((rel_b W) W)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (a1 W) as proof of ((rel_b W) V0)
% 89.40/89.63 Found (x2 (a1 W)) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 89.40/89.63 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 89.40/89.63 Found a10:=(a1 S):((rel_b S) S)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found a10:=(a1 S):((rel_b S) S)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found a10:=(a1 S):((rel_b S) S)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found a10:=(a1 S):((rel_b S) S)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found (a1 S) as proof of ((rel_b S) V0)
% 89.40/89.63 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 89.40/89.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (x1 (a1 S)) as proof of False
% 94.70/94.92 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 94.70/94.92 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V)
% 94.70/94.92 Found (x1 (a1 S)) as proof of False
% 94.70/94.92 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 94.70/94.92 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (x2 (a1 S)) as proof of False
% 94.70/94.92 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 94.70/94.92 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 94.70/94.92 Found a10:=(a1 S):((rel_b S) S)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (a1 S) as proof of ((rel_b S) V0)
% 94.70/94.92 Found (x2 (a1 S)) as proof of False
% 94.70/94.92 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 98.01/98.25 Found a10:=(a1 S):((rel_b S) S)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (x2 (a1 S)) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 98.01/98.25 Found a10:=(a1 S):((rel_b S) S)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (x2 (a1 S)) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 98.01/98.25 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 98.01/98.25 Found a10:=(a1 S):((rel_b S) S)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (x2 (a1 S)) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 98.01/98.25 Found a10:=(a1 S):((rel_b S) S)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (x2 (a1 S)) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 98.01/98.25 Found a10:=(a1 S):((rel_b S) S)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (a1 S) as proof of ((rel_b S) V0)
% 98.01/98.25 Found (x2 (a1 S)) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 98.01/98.25 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (x2 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (x1 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (x1 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (x1 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (x2 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V)
% 105.82/106.10 Found (x1 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (x2 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 105.82/106.10 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 105.82/106.10 Found a10:=(a1 W):((rel_b W) W)
% 105.82/106.10 Found (a1 W) as proof of ((rel_b W) V0)
% 105.82/106.10 Found (a1 W) as proof of ((rel_b W) V0)
% 105.82/106.10 Found (a1 W) as proof of ((rel_b W) V0)
% 105.82/106.10 Found a10:=(a1 S):((rel_b S) S)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (a1 S) as proof of ((rel_b S) V0)
% 105.82/106.10 Found (x2 (a1 S)) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 105.82/106.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 115.05/115.28 Found a10:=(a1 S):((rel_b S) S)
% 115.05/115.28 Found (a1 S) as proof of ((rel_b S) V0)
% 115.05/115.28 Found (a1 S) as proof of ((rel_b S) V0)
% 115.05/115.28 Found (a1 S) as proof of ((rel_b S) V0)
% 115.05/115.28 Found (x2 (a1 S)) as proof of False
% 115.05/115.28 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 115.05/115.28 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V0)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V0)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V0)
% 115.05/115.28 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 115.05/115.28 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 115.05/115.28 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 115.05/115.28 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 115.05/115.28 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 115.05/115.28 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 115.05/115.28 Found a10:=(a1 W):((rel_b W) W)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (a1 W) as proof of ((rel_b W) V)
% 115.05/115.28 Found (x1 (a1 W)) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 116.76/117.01 Found a10:=(a1 W):((rel_b W) W)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (x1 (a1 W)) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 116.76/117.01 Found a10:=(a1 W):((rel_b W) W)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (x1 (a1 W)) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 116.76/117.01 Found a10:=(a1 W):((rel_b W) W)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (x1 (a1 W)) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 116.76/117.01 Found a10:=(a1 W):((rel_b W) W)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (a1 W) as proof of ((rel_b W) V)
% 116.76/117.01 Found (x1 (a1 W)) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 116.76/117.01 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 116.76/117.01 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 116.76/117.01 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 121.32/121.54 Found a10:=(a1 W):((rel_b W) W)
% 121.32/121.54 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found a10:=(a1 V0):((rel_b V0) V0)
% 125.41/125.70 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.41/125.70 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.41/125.70 Found (a1 V0) as proof of ((rel_b V0) W)
% 125.41/125.70 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 125.41/125.70 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 125.41/125.70 Found (x2 (a1 W)) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 125.41/125.70 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 125.41/125.70 Found a10:=(a1 W):((rel_b W) W)
% 125.41/125.70 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (x2 (a1 W)) as proof of False
% 126.85/127.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 126.85/127.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 126.85/127.11 Found a10:=(a1 W):((rel_b W) W)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (x2 (a1 W)) as proof of False
% 126.85/127.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 126.85/127.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 126.85/127.11 Found a10:=(a1 W):((rel_b W) W)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (a1 W) as proof of ((rel_b W) V0)
% 126.85/127.11 Found a10:=(a1 V0):((rel_b V0) V0)
% 126.85/127.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 126.85/127.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 126.85/127.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 126.85/127.11 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 126.85/127.11 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 126.85/127.11 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 126.85/127.11 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 126.85/127.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 129.86/130.09 Found a10:=(a1 W):((rel_b W) W)
% 129.86/130.09 Found (a1 W) as proof of ((rel_b W) V0)
% 129.86/130.09 Found (a1 W) as proof of ((rel_b W) V0)
% 129.86/130.09 Found (a1 W) as proof of ((rel_b W) V0)
% 129.86/130.09 Found (x2 (a1 W)) as proof of False
% 129.86/130.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 129.86/130.09 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 129.86/130.09 Found a10:=(a1 W):((rel_b W) W)
% 129.86/130.09 Found (a1 W) as proof of ((rel_b W) V0)
% 129.86/130.09 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (x2 (a1 W)) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 135.06/135.33 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 135.06/135.33 Found a10:=(a1 W):((rel_b W) W)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found (a1 W) as proof of ((rel_b W) V0)
% 135.06/135.33 Found or_intror10:=(or_intror1 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 145.87/146.17 Found (or_intror1 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 145.87/146.17 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 145.87/146.17 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 145.87/146.17 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 145.87/146.17 Found a10:=(a1 W):((rel_b W) W)
% 145.87/146.17 Found (a1 W) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (a1 W) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (a1 W) as proof of ((rel_b W) V0)
% 145.87/146.17 Found a10:=(a1 V0):((rel_b V0) V0)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found a10:=(a1 V0):((rel_b V0) V0)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a1 V0) as proof of ((rel_b V0) W)
% 145.87/146.17 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 145.87/146.17 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 145.87/146.17 Found a10:=(a1 S):((rel_b S) S)
% 145.87/146.17 Found (a1 S) as proof of ((rel_b S) V0)
% 145.87/146.17 Found (a1 S) as proof of ((rel_b S) V0)
% 145.87/146.17 Found (a1 S) as proof of ((rel_b S) V0)
% 145.87/146.17 Found or_intror10:=(or_intror1 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 145.87/146.17 Found (or_intror1 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 145.87/146.17 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 167.19/167.49 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 167.19/167.49 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 167.19/167.49 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 167.19/167.49 Found a10:=(a1 W):((rel_b W) W)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found a10:=(a1 S):((rel_b S) S)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V0)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V0)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V0)
% 167.19/167.49 Found a10:=(a1 S):((rel_b S) S)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (x1 (a1 S)) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 167.19/167.49 Found a10:=(a1 S):((rel_b S) S)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (x1 (a1 S)) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 167.19/167.49 Found a10:=(a1 S):((rel_b S) S)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (x1 (a1 S)) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 167.19/167.49 Found a10:=(a1 S):((rel_b S) S)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (a1 S) as proof of ((rel_b S) V)
% 167.19/167.49 Found (x1 (a1 S)) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 167.19/167.49 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 167.19/167.49 Found a10:=(a1 W):((rel_b W) W)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found (a1 W) as proof of ((rel_b W) V0)
% 167.19/167.49 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.19/167.49 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 167.94/168.21 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 176.66/176.95 Found a10:=(a1 W):((rel_b W) W)
% 176.66/176.95 Found (a1 W) as proof of ((rel_b W) V0)
% 176.66/176.95 Found (a1 W) as proof of ((rel_b W) V0)
% 176.66/176.95 Found (a1 W) as proof of ((rel_b W) V0)
% 176.66/176.95 Found x2:(((rel_b W) V0)->False)
% 176.66/176.95 Instantiate: V0:=V00:fofType;V:=W:fofType
% 176.66/176.95 Found x2 as proof of (((rel_b V) V00)->False)
% 176.66/176.95 Found (or_introl10 x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 176.66/176.95 Found ((or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 176.66/176.95 Found (((or_introl (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 176.66/176.95 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.95 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.95 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.95 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.95 Found (x1 (a1 S)) as proof of False
% 176.66/176.95 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 S):((rel_b S) S)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (a1 S) as proof of ((rel_b S) V)
% 176.66/176.96 Found (x1 (a1 S)) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 176.66/176.96 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 176.66/176.96 Found a10:=(a1 V0):((rel_b V0) V0)
% 176.66/176.96 Found (a1 V0) as proof of ((rel_b V0) S)
% 176.66/176.96 Found (a1 V0) as proof of ((rel_b V0) S)
% 176.66/176.96 Found (a1 V0) as proof of ((rel_b V0) S)
% 176.66/176.96 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 176.66/176.96 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 176.66/176.96 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 176.66/176.96 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 176.66/176.96 Found a10:=(a1 W):((rel_b W) W)
% 176.66/176.96 Found (a1 W) as proof of ((rel_b W) V0)
% 176.66/176.96 Found (a1 W) as proof of ((rel_b W) V0)
% 180.65/180.96 Found (a1 W) as proof of ((rel_b W) V0)
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found x2:(((rel_b W) V0)->False)
% 180.65/180.96 Instantiate: V0:=V00:fofType
% 180.65/180.96 Found x2 as proof of (((rel_b V) V00)->False)
% 180.65/180.96 Found (or_introl10 x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 180.65/180.96 Found ((or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 180.65/180.96 Found (((or_introl (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 180.65/180.96 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (x2 (a1 S)) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (x2 (a1 S)) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (x2 (a1 S)) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (x2 (a1 S)) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 180.65/180.96 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 180.65/180.96 Found a10:=(a1 S):((rel_b S) S)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 180.65/180.96 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (x2 (a1 S)) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 184.35/184.63 Found a10:=(a1 S):((rel_b S) S)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (x2 (a1 S)) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 184.35/184.63 Found a10:=(a1 S):((rel_b S) S)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (x2 (a1 S)) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 184.35/184.63 Found a10:=(a1 S):((rel_b S) S)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (a1 S) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (x2 (a1 S)) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 184.35/184.63 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 184.35/184.63 Found a10:=(a1 V0):((rel_b V0) V0)
% 184.35/184.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 184.35/184.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 184.35/184.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 184.35/184.63 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 184.35/184.63 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 184.35/184.63 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 184.35/184.63 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 184.35/184.63 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 187.84/188.10 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 187.84/188.10 Found a10:=(a1 S):((rel_b S) S)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (a1 S) as proof of ((rel_b S) V0)
% 187.84/188.10 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found or_intror10:=(or_intror1 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)))
% 195.87/196.16 Found (or_intror1 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 195.87/196.16 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 195.87/196.16 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 195.87/196.16 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 195.87/196.16 Found x2:((rel_b V) V0)
% 195.87/196.16 Instantiate: V1:=V0:fofType;V:=W:fofType
% 195.87/196.16 Found x2 as proof of ((rel_b W) V1)
% 195.87/196.16 Found (x3 x2) as proof of False
% 195.87/196.16 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 x2)) as proof of False
% 195.87/196.16 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found a10:=(a1 S):((rel_b S) S)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (a1 S) as proof of ((rel_b S) V0)
% 195.87/196.16 Found (x2 (a1 S)) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 195.87/196.16 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 195.87/196.16 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 195.87/196.16 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 195.87/196.16 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 198.55/198.82 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 198.55/198.82 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 198.55/198.82 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 198.55/198.82 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 198.55/198.82 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 198.55/198.82 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 198.55/198.82 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 198.55/198.82 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 198.55/198.82 Found a10:=(a1 W):((rel_b W) W)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (x1 (a1 W)) as proof of False
% 198.55/198.82 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 198.55/198.82 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 198.55/198.82 Found a10:=(a1 W):((rel_b W) W)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (a1 W) as proof of ((rel_b W) V)
% 198.55/198.82 Found (x1 (a1 W)) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 203.68/203.97 Found a10:=(a1 W):((rel_b W) W)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (x1 (a1 W)) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 203.68/203.97 Found a10:=(a1 W):((rel_b W) W)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (x1 (a1 W)) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 203.68/203.97 Found a10:=(a1 W):((rel_b W) W)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (x1 (a1 W)) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 203.68/203.97 Found a10:=(a1 W):((rel_b W) W)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (a1 W) as proof of ((rel_b W) V)
% 203.68/203.97 Found (x1 (a1 W)) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of False
% 203.68/203.97 Found (fun (x1:(((rel_b W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_b W) V)->False)->False)
% 203.68/203.97 Found a10:=(a1 S):((rel_b S) S)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found a10:=(a1 S):((rel_b S) S)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (x2 (a1 S)) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 203.68/203.97 Found a10:=(a1 V0):((rel_b V0) V0)
% 203.68/203.97 Found (a1 V0) as proof of ((rel_b V0) S)
% 203.68/203.97 Found (a1 V0) as proof of ((rel_b V0) S)
% 203.68/203.97 Found (a1 V0) as proof of ((rel_b V0) S)
% 203.68/203.97 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 203.68/203.97 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 203.68/203.97 Found a10:=(a1 S):((rel_b S) S)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (x2 (a1 S)) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 203.68/203.97 Found x2:((rel_b V) V0)
% 203.68/203.97 Instantiate: V1:=V0:fofType
% 203.68/203.97 Found x2 as proof of ((rel_b W) V1)
% 203.68/203.97 Found (x3 x2) as proof of False
% 203.68/203.97 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 x2)) as proof of False
% 203.68/203.97 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 x2)) as proof of ((((rel_b W) V1)->False)->False)
% 203.68/203.97 Found a10:=(a1 S):((rel_b S) S)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (x2 (a1 S)) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 203.68/203.97 Found a10:=(a1 S):((rel_b S) S)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (a1 S) as proof of ((rel_b S) V0)
% 203.68/203.97 Found (x2 (a1 S)) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of False
% 203.68/203.97 Found (fun (x2:(((rel_b S) V0)->False))=> (x2 (a1 S))) as proof of ((((rel_b S) V0)->False)->False)
% 203.68/203.97 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 203.68/203.97 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 207.40/207.70 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 207.40/207.70 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 207.40/207.70 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 207.40/207.70 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 213.36/213.63 Found a10:=(a1 V0):((rel_b V0) V0)
% 213.36/213.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 213.36/213.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 213.36/213.63 Found (a1 V0) as proof of ((rel_b V0) S)
% 213.36/213.63 Found (a200 (a1 V0)) as proof of ((rel_b S) V0)
% 213.36/213.63 Found ((a20 S) (a1 V0)) as proof of ((rel_b S) V0)
% 213.36/213.63 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 213.36/213.63 Found (((a2 V0) S) (a1 V0)) as proof of ((rel_b S) V0)
% 213.36/213.63 Found a10:=(a1 W):((rel_b W) W)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (x3 (a1 W)) as proof of False
% 213.36/213.63 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 213.36/213.63 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 213.36/213.63 Found or_intror10:=(or_intror1 (((rel_b S) V1)->False)):((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)))
% 213.36/213.63 Found (or_intror1 (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 213.36/213.63 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 213.36/213.63 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 213.36/213.63 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 213.36/213.63 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b S) V1)->False)) as proof of ((((rel_b S) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 213.36/213.63 Found a10:=(a1 W):((rel_b W) W)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (a1 W) as proof of ((rel_b W) V1)
% 213.36/213.63 Found (x3 (a1 W)) as proof of False
% 213.36/213.63 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 213.36/213.63 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 213.36/213.63 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 213.36/213.63 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 213.36/213.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 213.36/213.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 213.36/213.63 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 221.21/221.49 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 221.21/221.49 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 221.21/221.49 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 221.21/221.49 Found a10:=(a1 S):((rel_b S) S)
% 221.21/221.49 Found (a1 S) as proof of ((rel_b S) V0)
% 221.21/221.49 Found (a1 S) as proof of ((rel_b S) V0)
% 221.21/221.49 Found (a1 S) as proof of ((rel_b S) V0)
% 221.21/221.49 Found a10:=(a1 W):((rel_b W) W)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (x3 (a1 W)) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 221.21/221.49 Found a10:=(a1 W):((rel_b W) W)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (x3 (a1 W)) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 221.21/221.49 Found a10:=(a1 W):((rel_b W) W)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (x3 (a1 W)) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 221.21/221.49 Found a10:=(a1 W):((rel_b W) W)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (a1 W) as proof of ((rel_b W) V1)
% 221.21/221.49 Found (x3 (a1 W)) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 221.21/221.49 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 221.21/221.49 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 221.21/221.49 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 223.67/223.95 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 223.67/223.95 Found a10:=(a1 W):((rel_b W) W)
% 223.67/223.95 Found (a1 W) as proof of ((rel_b W) V1)
% 223.67/223.95 Found (a1 W) as proof of ((rel_b W) V1)
% 223.67/223.95 Found (a1 W) as proof of ((rel_b W) V1)
% 223.67/223.95 Found (x3 (a1 W)) as proof of False
% 223.67/223.95 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 223.67/223.95 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 223.67/223.95 Found a10:=(a1 V0):((rel_b V0) V0)
% 223.67/223.95 Found (a1 V0) as proof of ((rel_b V0) V1)
% 223.67/223.95 Found (a1 V0) as proof of ((rel_b V0) V1)
% 223.67/223.95 Found (a1 V0) as proof of ((rel_b V0) V1)
% 223.67/223.95 Found (x3 (a1 V0)) as proof of False
% 223.67/223.95 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 223.67/223.95 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 223.67/223.95 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 223.67/223.95 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found a10:=(a1 S):((rel_b S) S)
% 226.51/226.79 Found (a1 S) as proof of ((rel_b S) V0)
% 226.51/226.79 Found (a1 S) as proof of ((rel_b S) V0)
% 226.51/226.79 Found (a1 S) as proof of ((rel_b S) V0)
% 226.51/226.79 Found a10:=(a1 W):((rel_b W) W)
% 226.51/226.79 Found (a1 W) as proof of ((rel_b W) V1)
% 226.51/226.79 Found (a1 W) as proof of ((rel_b W) V1)
% 226.51/226.79 Found (a1 W) as proof of ((rel_b W) V1)
% 226.51/226.79 Found (x3 (a1 W)) as proof of False
% 226.51/226.79 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 226.51/226.79 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 226.51/226.79 Found or_introl00:=(or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found (or_introl0 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V2)->False)->((or (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found ((or_introl (((rel_b W) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 226.51/226.79 Found or_introl20:=(or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found (or_introl2 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 235.23/235.52 Found a10:=(a1 W):((rel_b W) W)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (x3 (a1 W)) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 235.23/235.52 Found a10:=(a1 S):((rel_b S) S)
% 235.23/235.52 Found (a1 S) as proof of ((rel_b S) V0)
% 235.23/235.52 Found (a1 S) as proof of ((rel_b S) V0)
% 235.23/235.52 Found (a1 S) as proof of ((rel_b S) V0)
% 235.23/235.52 Found a10:=(a1 V0):((rel_b V0) V0)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) V1)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) V1)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) V1)
% 235.23/235.52 Found (x3 (a1 V0)) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_b V0) V1)->False)->False)
% 235.23/235.52 Found a10:=(a1 W):((rel_b W) W)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (x3 (a1 W)) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of False
% 235.23/235.52 Found (fun (x3:(((rel_b W) V1)->False))=> (x3 (a1 W))) as proof of ((((rel_b W) V1)->False)->False)
% 235.23/235.52 Found a10:=(a1 W):((rel_b W) W)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (a1 W) as proof of ((rel_b W) V1)
% 235.23/235.52 Found (x2 (a1 W)) as proof of False
% 235.23/235.52 Found (fun (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of False
% 235.23/235.52 Found (fun (x2:(((rel_b W) V1)->False)) (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of ((mnot (mbox_b ((mimplies p) q))) V0)
% 235.23/235.52 Found (fun (x2:(((rel_b W) V1)->False)) (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mnot (mbox_b ((mimplies p) q))) V0))
% 235.23/235.52 Found x2:(((rel_b S) V0)->False)
% 235.23/235.52 Instantiate: V0:=V00:fofType;V:=S:fofType
% 235.23/235.52 Found x2 as proof of (((rel_b V) V00)->False)
% 235.23/235.52 Found (or_introl10 x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 235.23/235.52 Found ((or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 235.23/235.52 Found (((or_introl (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 235.23/235.52 Found a10:=(a1 V0):((rel_b V0) V0)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found a10:=(a1 V0):((rel_b V0) V0)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a1 V0) as proof of ((rel_b V0) W)
% 235.23/235.52 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 235.23/235.52 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 243.04/243.42 Found a10:=(a1 S):((rel_b S) S)
% 243.04/243.42 Found (a1 S) as proof of ((rel_b S) V0)
% 243.04/243.42 Found (a1 S) as proof of ((rel_b S) V0)
% 243.04/243.42 Found (a1 S) as proof of ((rel_b S) V0)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V1)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V1)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V1)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V1)->False)) (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of ((mnot (mbox_b ((mimplies p) q))) V0)
% 243.04/243.42 Found (fun (x2:(((rel_b W) V1)->False)) (x3:((mbox_b ((mimplies p) q)) V0))=> (x2 (a1 W))) as proof of ((((rel_b W) V1)->False)->((mnot (mbox_b ((mimplies p) q))) V0))
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found x2:(((rel_b S) V0)->False)
% 243.04/243.42 Instantiate: V0:=V00:fofType
% 243.04/243.42 Found x2 as proof of (((rel_b V) V00)->False)
% 243.04/243.42 Found (or_introl10 x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 243.04/243.42 Found ((or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 243.04/243.42 Found (((or_introl (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) x2) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (x2 (a1 W)) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 243.04/243.42 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found a10:=(a1 W):((rel_b W) W)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (a1 W) as proof of ((rel_b W) V0)
% 243.04/243.42 Found a10:=(a1 V0):((rel_b V0) V0)
% 243.04/243.42 Found (a1 V0) as proof of ((rel_b V0) W)
% 243.04/243.42 Found (a1 V0) as proof of ((rel_b V0) W)
% 243.04/243.42 Found (a1 V0) as proof of ((rel_b V0) W)
% 243.04/243.42 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 243.04/243.42 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 243.04/243.42 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 247.75/248.11 Found a10:=(a1 V0):((rel_b V0) V0)
% 247.75/248.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 247.75/248.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 247.75/248.11 Found (a1 V0) as proof of ((rel_b V0) W)
% 247.75/248.11 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 247.75/248.11 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 247.75/248.11 Found a10:=(a1 W):((rel_b W) W)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 247.75/248.11 Found a10:=(a1 W):((rel_b W) W)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (a1 W) as proof of ((rel_b W) V0)
% 247.75/248.11 Found (x2 (a1 W)) as proof of False
% 247.75/248.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 247.75/248.11 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (x2 (a1 W)) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (x2 (a1 W)) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (x2 (a1 W)) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (x2 (a1 W)) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (x2 (a1 W)) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of False
% 255.14/255.47 Found (fun (x2:(((rel_b W) V0)->False))=> (x2 (a1 W))) as proof of ((((rel_b W) V0)->False)->False)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found a10:=(a1 W):((rel_b W) W)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found (a1 W) as proof of ((rel_b W) V0)
% 255.14/255.47 Found or_intror20:=(or_intror2 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 255.14/255.47 Found (or_intror2 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found or_intror00:=(or_intror0 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 255.14/255.47 Found (or_intror0 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 255.14/255.47 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 267.25/267.61 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 267.25/267.61 Found a10:=(a1 S):((rel_b S) S)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (x1 (a1 S)) as proof of False
% 267.25/267.61 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 267.25/267.61 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 267.25/267.61 Found a10:=(a1 S):((rel_b S) S)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (a1 S) as proof of ((rel_b S) V)
% 267.25/267.61 Found (x1 (a1 S)) as proof of False
% 267.25/267.61 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 267.25/267.61 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 267.25/267.61 Found x2:((rel_b V) V0)
% 267.25/267.61 Instantiate: V1:=V0:fofType;V:=S:fofType
% 267.25/267.61 Found x2 as proof of ((rel_b S) V1)
% 267.25/267.61 Found (x3 x2) as proof of False
% 267.25/267.61 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 x2)) as proof of False
% 267.25/267.61 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 267.25/267.61 Found a10:=(a1 W):((rel_b W) W)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found a10:=(a1 W):((rel_b W) W)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (a1 W) as proof of ((rel_b W) V0)
% 267.25/267.61 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 267.25/267.61 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 267.25/267.61 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 267.25/267.61 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 267.25/267.61 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 267.25/267.61 Found a10:=(a1 V0):((rel_b V0) V0)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found a10:=(a1 V0):((rel_b V0) V0)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a1 V0) as proof of ((rel_b V0) W)
% 267.25/267.61 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 267.25/267.61 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 275.83/276.15 Found x2:((rel_b V) V0)
% 275.83/276.15 Instantiate: V1:=V0:fofType
% 275.83/276.15 Found x2 as proof of ((rel_b S) V1)
% 275.83/276.15 Found (x3 x2) as proof of False
% 275.83/276.15 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 x2)) as proof of False
% 275.83/276.15 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 x2)) as proof of ((((rel_b S) V1)->False)->False)
% 275.83/276.15 Found a10:=(a1 W):((rel_b W) W)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found a10:=(a1 W):((rel_b W) W)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 275.83/276.15 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 275.83/276.15 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 275.83/276.15 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 275.83/276.15 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 275.83/276.15 Found a10:=(a1 W):((rel_b W) W)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (a1 W) as proof of ((rel_b W) V0)
% 275.83/276.15 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 275.83/276.15 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 275.83/276.15 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 275.83/276.15 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 275.83/276.15 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 275.83/276.15 Found a10:=(a1 V0):((rel_b V0) V0)
% 275.83/276.15 Found (a1 V0) as proof of ((rel_b V0) W)
% 275.83/276.15 Found (a1 V0) as proof of ((rel_b V0) W)
% 275.83/276.15 Found (a1 V0) as proof of ((rel_b V0) W)
% 275.83/276.15 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 275.83/276.15 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 275.83/276.15 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 275.83/276.15 Found a10:=(a1 S):((rel_b S) S)
% 275.83/276.15 Found (a1 S) as proof of ((rel_b S) V)
% 275.83/276.15 Found (a1 S) as proof of ((rel_b S) V)
% 275.83/276.15 Found (a1 S) as proof of ((rel_b S) V)
% 275.83/276.15 Found (x1 (a1 S)) as proof of False
% 275.83/276.15 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 280.21/280.55 Found a10:=(a1 S):((rel_b S) S)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (x1 (a1 S)) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 280.21/280.55 Found a10:=(a1 S):((rel_b S) S)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (x1 (a1 S)) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 280.21/280.55 Found a10:=(a1 S):((rel_b S) S)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (a1 S) as proof of ((rel_b S) V)
% 280.21/280.55 Found (x1 (a1 S)) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of False
% 280.21/280.55 Found (fun (x1:(((rel_b S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_b S) V)->False)->False)
% 280.21/280.55 Found a10:=(a1 V0):((rel_b V0) V0)
% 280.21/280.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 280.21/280.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 280.21/280.55 Found (a1 V0) as proof of ((rel_b V0) W)
% 280.21/280.55 Found (a200 (a1 V0)) as proof of ((rel_b W) V0)
% 280.21/280.55 Found ((a20 W) (a1 V0)) as proof of ((rel_b W) V0)
% 280.21/280.55 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 280.21/280.55 Found (((a2 V0) W) (a1 V0)) as proof of ((rel_b W) V0)
% 280.21/280.55 Found or_intror20:=(or_intror2 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 280.21/280.55 Found (or_intror2 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found or_intror00:=(or_intror0 (((rel_b W) V1)->False)):((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)))
% 280.21/280.55 Found (or_intror0 (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found ((or_intror ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b W) V1)->False)) as proof of ((((rel_b W) V1)->False)->((or ((mnot (mbox_b ((mimplies p) q))) V0)) (((rel_b V) V0)->False)))
% 280.21/280.55 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 280.21/280.55 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 280.21/280.55 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found a10:=(a1 W):((rel_b W) W)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found a10:=(a1 W):((rel_b W) W)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found a10:=(a1 W):((rel_b W) W)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found a10:=(a1 S):((rel_b S) S)
% 286.11/286.48 Found (a1 S) as proof of ((rel_b S) V1)
% 286.11/286.48 Found (a1 S) as proof of ((rel_b S) V1)
% 286.11/286.48 Found (a1 S) as proof of ((rel_b S) V1)
% 286.11/286.48 Found (x3 (a1 S)) as proof of False
% 286.11/286.48 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of False
% 286.11/286.48 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 286.11/286.48 Found a10:=(a1 W):((rel_b W) W)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (a1 W) as proof of ((rel_b W) V0)
% 286.11/286.48 Found (x2 (a1 W)) as proof of False
% 286.11/286.48 Found (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))) as proof of False
% 286.11/286.48 Found (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))) as proof of ((mnot (mbox_b ((mimplies p) q))) V00)
% 286.11/286.48 Found (or_intror10 (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 286.11/286.48 Found ((or_intror1 ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 286.11/286.48 Found (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 286.11/286.48 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 286.11/286.48 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 286.11/286.48 Found (fun (x2:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))))) as proof of ((mbox_b (mnot (mbox_b ((mimplies p) q)))) V)
% 286.11/286.48 Found (fun (x2:(((rel_b W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))))) as proof of ((((rel_b W) V0)->False)->((mbox_b (mnot (mbox_b ((mimplies p) q)))) V))
% 293.40/293.78 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b W) V1)->False)->((or (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b W) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b W) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found a10:=(a1 W):((rel_b W) W)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found a10:=(a1 W):((rel_b W) W)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found (a1 W) as proof of ((rel_b W) V0)
% 293.40/293.78 Found a10:=(a1 S):((rel_b S) S)
% 293.40/293.78 Found (a1 S) as proof of ((rel_b S) V1)
% 293.40/293.78 Found (a1 S) as proof of ((rel_b S) V1)
% 293.40/293.78 Found (a1 S) as proof of ((rel_b S) V1)
% 293.40/293.78 Found (x3 (a1 S)) as proof of False
% 293.40/293.78 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of False
% 293.40/293.78 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 293.40/293.78 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)):((((rel_b S) V1)->False)->((or (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 293.40/293.78 Found ((or_introl (((rel_b S) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) as proof of ((((rel_b S) V1)->False)->((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)))
% 297.74/298.08 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V0) V1)->False)) ((mnot (mbox_b ((mimplies p) q))) V1)))
% 297.74/298.08 Found or_introl10:=(or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)):((((rel_b S) V2)->False)->((or (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 297.74/298.08 Found (or_introl1 ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 297.74/298.08 Found ((or_introl (((rel_b S) V2)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)) as proof of ((((rel_b S) V2)->False)->((or (((rel_b V) V0)->False)) ((mnot (mbox_b ((mimplies p) q))) V0)))
% 297.74/298.08 Found a10:=(a1 S):((rel_b S) S)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (x3 (a1 S)) as proof of False
% 297.74/298.08 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of False
% 297.74/298.08 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 297.74/298.08 Found a10:=(a1 S):((rel_b S) S)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (a1 S) as proof of ((rel_b S) V1)
% 297.74/298.08 Found (x3 (a1 S)) as proof of False
% 297.74/298.08 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of False
% 297.74/298.08 Found (fun (x3:(((rel_b S) V1)->False))=> (x3 (a1 S))) as proof of ((((rel_b S) V1)->False)->False)
% 297.74/298.08 Found a10:=(a1 W):((rel_b W) W)
% 297.74/298.08 Found (a1 W) as proof of ((rel_b W) V0)
% 297.74/298.08 Found (a1 W) as proof of ((rel_b W) V0)
% 297.74/298.08 Found (a1 W) as proof of ((rel_b W) V0)
% 297.74/298.08 Found (x2 (a1 W)) as proof of False
% 297.74/298.08 Found (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))) as proof of False
% 297.74/298.08 Found (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))) as proof of ((mnot (mbox_b ((mimplies p) q))) V00)
% 297.74/298.08 Found (or_intror10 (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 297.74/298.08 Found ((or_intror1 ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 297.74/298.08 Found (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W)))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 297.74/298.08 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((mimplies p) q)) V00))=> (x2 (a1 W))))) as proof of ((or (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00))
% 297.74/298.08 Found (fun (V00:fofType)=> (((or_intror (((rel_b V) V00)->False)) ((mnot (mbox_b ((mimplies p) q))) V00)) (fun (x3:((mbox_b ((
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