TSTP Solution File: SYO442^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO442^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 00:51:27 EDT 2022
% Result : Timeout 290.63s 290.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO442^1 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Mar 12 17:25:40 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 0.45/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.45/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2adbebc95d88>, <kernel.Type object at 0x2143a70>) of role type named mu_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mu:Type
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2adbebc95d88>, <kernel.DependentProduct object at 0x2143ab8>) of role type named meq_ind_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.45/0.65 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.45/0.65 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.45/0.65 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2143e60>, <kernel.DependentProduct object at 0x2143a70>) of role type named meq_prop_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.45/0.65 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2143cb0>, <kernel.DependentProduct object at 0x2adbebcaaf80>) of role type named mnot_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.45/0.65 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2143ab8>, <kernel.DependentProduct object at 0x2adbebcaaab8>) of role type named mor_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.45/0.65 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2143ab8>, <kernel.DependentProduct object at 0x2adbebcaa128>) of role type named mand_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.45/0.65 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.45/0.65 FOF formula (<kernel.Constant object at 0x2143ab8>, <kernel.DependentProduct object at 0x2adbebcaa0e0>) of role type named mimplies_type
% 0.45/0.65 Using role type
% 0.45/0.65 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.65 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.45/0.65 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.45/0.67 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaa0e0>, <kernel.DependentProduct object at 0x2adbebcaae60>) of role type named mimplied_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.67 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
% 0.45/0.67 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.45/0.67 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaae60>, <kernel.DependentProduct object at 0x2adbebcaab90>) of role type named mequiv_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.67 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
% 0.45/0.67 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))))
% 0.45/0.67 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaab90>, <kernel.DependentProduct object at 0x2adbebcaaa28>) of role type named mxor_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.67 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
% 0.45/0.67 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.45/0.67 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaa9e0>, <kernel.DependentProduct object at 0x2163320>) of role type named mforall_ind_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.45/0.67 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
% 0.45/0.67 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.45/0.67 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaa128>, <kernel.DependentProduct object at 0x2163518>) of role type named mforall_prop_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.45/0.67 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
% 0.45/0.67 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))))
% 0.45/0.67 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.45/0.67 FOF formula (<kernel.Constant object at 0x2adbebcaa128>, <kernel.DependentProduct object at 0x2163830>) of role type named mexists_ind_type
% 0.45/0.67 Using role type
% 0.45/0.67 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.45/0.67 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
% 0.45/0.67 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.45/0.69 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x2adbebcaa128>, <kernel.DependentProduct object at 0x2163320>) of role type named mexists_prop_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.45/0.69 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
% 0.45/0.69 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)))))))
% 0.45/0.69 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x2163320>, <kernel.DependentProduct object at 0x2163170>) of role type named mtrue_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mtrue:(fofType->Prop)
% 0.45/0.69 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.45/0.69 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.45/0.69 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x2163170>, <kernel.DependentProduct object at 0x21635f0>) of role type named mfalse_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mfalse:(fofType->Prop)
% 0.45/0.69 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.45/0.69 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.45/0.69 Defined: mfalse:=(mnot mtrue)
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x2163bd8>, <kernel.DependentProduct object at 0x21635f0>) of role type named mbox_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.69 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
% 0.45/0.69 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)))))
% 0.45/0.69 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21635f0>, <kernel.DependentProduct object at 0x2163e18>) of role type named mdia_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.45/0.69 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
% 0.45/0.69 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)))))
% 0.45/0.69 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21639e0>, <kernel.DependentProduct object at 0x2168fc8>) of role type named mreflexive_type
% 0.45/0.69 Using role type
% 0.45/0.69 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.45/0.69 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.45/0.69 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.45/0.69 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.45/0.69 FOF formula (<kernel.Constant object at 0x21639e0>, <kernel.DependentProduct object at 0x2168ab8>) of role type named msymmetric_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.71 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)))))
% 0.45/0.71 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2adbe4196098>, <kernel.DependentProduct object at 0x2168ab8>) of role type named mserial_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.71 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))))))
% 0.45/0.71 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2adbe4196098>, <kernel.DependentProduct object at 0x2168a28>) of role type named mtransitive_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.71 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)))))
% 0.45/0.71 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2168a28>, <kernel.DependentProduct object at 0x2168e18>) of role type named meuclidean_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.71 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)))))
% 0.45/0.71 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2168e18>, <kernel.DependentProduct object at 0x2168638>) of role type named mpartially_functional_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.71 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)))))
% 0.45/0.71 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))))
% 0.45/0.71 FOF formula (<kernel.Constant object at 0x2168638>, <kernel.DependentProduct object at 0x2168cf8>) of role type named mfunctional_type
% 0.45/0.71 Using role type
% 0.45/0.71 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.45/0.71 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
% 0.45/0.72 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)))))))))
% 0.45/0.72 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))))))))
% 0.45/0.72 FOF formula (<kernel.Constant object at 0x2168cf8>, <kernel.DependentProduct object at 0x2168098>) of role type named mweakly_dense_type
% 0.45/0.72 Using role type
% 0.45/0.72 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.45/0.72 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
% 0.45/0.72 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)))))))))
% 0.45/0.72 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))))))))
% 0.45/0.72 FOF formula (<kernel.Constant object at 0x2168098>, <kernel.DependentProduct object at 0x2168fc8>) of role type named mweakly_connected_type
% 0.45/0.72 Using role type
% 0.45/0.72 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.45/0.72 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
% 0.45/0.72 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))))))
% 0.45/0.72 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)))))
% 0.45/0.72 FOF formula (<kernel.Constant object at 0x2168e18>, <kernel.DependentProduct object at 0x2168fc8>) of role type named mweakly_directed_type
% 0.45/0.72 Using role type
% 0.45/0.72 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.45/0.72 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
% 0.45/0.72 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))))))))
% 0.45/0.72 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)))))))
% 0.45/0.72 FOF formula (<kernel.Constant object at 0x2168f80>, <kernel.DependentProduct object at 0x22db7e8>) of role type named mvalid_type
% 0.45/0.72 Using role type
% 0.45/0.72 Declaring mvalid:((fofType->Prop)->Prop)
% 0.45/0.72 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.45/0.72 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.45/0.72 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.45/0.72 FOF formula (<kernel.Constant object at 0x2168f80>, <kernel.DependentProduct object at 0x22db638>) of role type named minvalid_type
% 0.45/0.72 Using role type
% 0.54/0.73 Declaring minvalid:((fofType->Prop)->Prop)
% 0.54/0.73 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.54/0.73 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.54/0.73 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22db290>, <kernel.DependentProduct object at 0x22db488>) of role type named msatisfiable_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.54/0.73 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.54/0.73 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.54/0.73 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x22db638>, <kernel.DependentProduct object at 0x22db680>) of role type named mcountersatisfiable_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.54/0.73 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.54/0.73 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.54/0.73 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.54/0.73 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^6.ax, trying next directory
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2160248>, <kernel.DependentProduct object at 0x2143c20>) of role type named rel_s5_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring rel_s5:(fofType->(fofType->Prop))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adbebc95fc8>, <kernel.DependentProduct object at 0x2143680>) of role type named mbox_s5_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring mbox_s5:((fofType->Prop)->(fofType->Prop))
% 0.54/0.73 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))) of role definition named mbox_s5
% 0.54/0.73 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))))
% 0.54/0.73 Defined: mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2adbebc95d88>, <kernel.DependentProduct object at 0x2143ab8>) of role type named mdia_s5_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring mdia_s5:((fofType->Prop)->(fofType->Prop))
% 0.54/0.73 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))) of role definition named mdia_s5
% 0.54/0.73 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))))
% 0.54/0.73 Defined: mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))
% 0.54/0.73 FOF formula (mreflexive rel_s5) of role axiom named a1
% 0.54/0.73 A new axiom: (mreflexive rel_s5)
% 0.54/0.73 FOF formula (mtransitive rel_s5) of role axiom named a2
% 0.54/0.73 A new axiom: (mtransitive rel_s5)
% 0.54/0.73 FOF formula (msymmetric rel_s5) of role axiom named a3
% 0.54/0.73 A new axiom: (msymmetric rel_s5)
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2169050>, <kernel.DependentProduct object at 0x2adbebc8c2d8>) of role type named p_type
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring p:(fofType->Prop)
% 0.54/0.73 FOF formula (mvalid ((mequiv (mbox_s5 (mdia_s5 (mdia_s5 (mbox_s5 p))))) (mbox_s5 (mbox_s5 p)))) of role conjecture named prove
% 0.54/0.73 Conjecture to prove = (mvalid ((mequiv (mbox_s5 (mdia_s5 (mdia_s5 (mbox_s5 p))))) (mbox_s5 (mbox_s5 p)))):Prop
% 0.54/0.73 Parameter mu_DUMMY:mu.
% 0.54/0.73 Parameter fofType_DUMMY:fofType.
% 0.54/0.73 We need to prove ['(mvalid ((mequiv (mbox_s5 (mdia_s5 (mdia_s5 (mbox_s5 p))))) (mbox_s5 (mbox_s5 p))))']
% 0.54/0.73 Parameter mu:Type.
% 0.54/0.73 Parameter fofType:Type.
% 0.54/0.73 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.54/0.73 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.54/0.73 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.54/0.73 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.54/0.73 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.54/0.73 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)).
% 0.54/0.73 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.54/0.73 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.54/0.73 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))).
% 0.54/0.73 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.54/0.73 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.54/0.73 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.54/0.73 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.54/0.73 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).
% 0.54/0.73 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).
% 0.54/0.73 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).
% 0.54/0.73 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).
% 0.54/0.73 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).
% 0.54/0.73 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).
% 6.22/6.46 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).
% 6.22/6.46 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 6.22/6.46 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 6.22/6.46 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 6.22/6.46 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 6.22/6.46 Parameter rel_s5:(fofType->(fofType->Prop)).
% 6.22/6.46 Definition mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 6.22/6.46 Definition mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 6.22/6.46 Axiom a1:(mreflexive rel_s5).
% 6.22/6.46 Axiom a2:(mtransitive rel_s5).
% 6.22/6.46 Axiom a3:(msymmetric rel_s5).
% 6.22/6.46 Parameter p:(fofType->Prop).
% 6.22/6.46 Trying to prove (mvalid ((mequiv (mbox_s5 (mdia_s5 (mdia_s5 (mbox_s5 p))))) (mbox_s5 (mbox_s5 p))))
% 6.22/6.46 Found a10:=(a1 W):((rel_s5 W) W)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (x2 (a1 W)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 W):((rel_s5 W) W)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (x2 (a1 W)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 S):((rel_s5 S) S)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (x2 (a1 S)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 S):((rel_s5 S) S)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (x2 (a1 S)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 W):((rel_s5 W) W)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (x2 (a1 W)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 W):((rel_s5 W) W)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.22/6.46 Found (x2 (a1 W)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 S):((rel_s5 S) S)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (x2 (a1 S)) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 6.22/6.46 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 6.22/6.46 Found a10:=(a1 S):((rel_s5 S) S)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.22/6.46 Found (x2 (a1 S)) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (x2 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (x2 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (x2 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V)
% 14.81/15.00 Found (x2 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 14.81/15.00 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 14.81/15.00 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 14.81/15.00 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 14.81/15.00 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 14.81/15.00 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (x3 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 14.81/15.00 Found a10:=(a1 V):((rel_s5 V) V)
% 14.81/15.00 Found (a1 V) as proof of ((rel_s5 V) V0)
% 14.81/15.00 Found (a1 V) as proof of ((rel_s5 V) V0)
% 14.81/15.00 Found (a1 V) as proof of ((rel_s5 V) V0)
% 14.81/15.00 Found (x3 (a1 V)) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (x3 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (x3 (a1 W)) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 14.81/15.00 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 14.81/15.00 Found a10:=(a1 W):((rel_s5 W) W)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 14.81/15.00 Found (a1 W) as proof of ((rel_s5 W) V0)
% 19.40/19.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 19.40/19.58 Found (x3 (a1 W)) as proof of False
% 19.40/19.58 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 19.40/19.58 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 19.40/19.58 Found a10:=(a1 V):((rel_s5 V) V)
% 19.40/19.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 19.40/19.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 19.40/19.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 19.40/19.58 Found (x3 (a1 V)) as proof of False
% 19.40/19.58 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 19.40/19.58 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 19.40/19.58 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 19.40/19.58 Found a10:=(a1 S):((rel_s5 S) S)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (x2 (a1 S)) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 19.40/19.58 Found a10:=(a1 S):((rel_s5 S) S)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (x2 (a1 S)) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 19.40/19.58 Found a10:=(a1 S):((rel_s5 S) S)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (x2 (a1 S)) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 19.40/19.58 Found a10:=(a1 S):((rel_s5 S) S)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 19.40/19.58 Found (x2 (a1 S)) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 19.40/19.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 19.40/19.58 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 19.40/19.58 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 19.40/19.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 19.40/19.58 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 S):((rel_s5 S) S)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (x3 (a1 S)) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.12/21.37 Found a10:=(a1 V):((rel_s5 V) V)
% 21.12/21.37 Found (a1 V) as proof of ((rel_s5 V) V0)
% 21.12/21.37 Found (a1 V) as proof of ((rel_s5 V) V0)
% 21.12/21.37 Found (a1 V) as proof of ((rel_s5 V) V0)
% 21.12/21.37 Found (x3 (a1 V)) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 21.12/21.37 Found a10:=(a1 S):((rel_s5 S) S)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (x3 (a1 S)) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.12/21.37 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 W):((rel_s5 W) W)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (a1 W) as proof of ((rel_s5 W) V)
% 21.12/21.37 Found (x2 (a1 W)) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 21.12/21.37 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 21.12/21.37 Found a10:=(a1 S):((rel_s5 S) S)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (x3 (a1 S)) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.12/21.37 Found a10:=(a1 S):((rel_s5 S) S)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.12/21.37 Found (x3 (a1 S)) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.12/21.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.12/21.37 Found a10:=(a1 V):((rel_s5 V) V)
% 21.12/21.37 Found (a1 V) as proof of ((rel_s5 V) V0)
% 21.12/21.37 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (x3 (a1 V)) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 27.22/27.50 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 27.22/27.50 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 27.22/27.50 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 27.22/27.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 27.22/27.50 Found a10:=(a1 V):((rel_s5 V) V)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (x2 (a1 V)) as proof of False
% 27.22/27.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 27.22/27.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 27.22/27.50 Found a10:=(a1 W):((rel_s5 W) W)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (x3 (a1 W)) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 27.22/27.50 Found a10:=(a1 V):((rel_s5 V) V)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 27.22/27.50 Found (x3 (a1 V)) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 27.22/27.50 Found a10:=(a1 W):((rel_s5 W) W)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (x3 (a1 W)) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 27.22/27.50 Found a10:=(a1 W):((rel_s5 W) W)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.22/27.50 Found (x3 (a1 W)) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 27.22/27.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 32.89/33.10 Found a10:=(a1 W):((rel_s5 W) W)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 32.89/33.10 Found (x3 (a1 W)) as proof of False
% 32.89/33.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.89/33.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 32.89/33.10 Found a10:=(a1 V):((rel_s5 V) V)
% 32.89/33.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 32.89/33.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 32.89/33.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 32.89/33.10 Found (x3 (a1 V)) as proof of False
% 32.89/33.10 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 32.89/33.10 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found a10:=(a1 S):((rel_s5 S) S)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 32.89/33.10 Found (x2 (a1 S)) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 32.89/33.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 32.89/33.10 Found a10:=(a1 W):((rel_s5 W) W)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V)
% 32.89/33.10 Found (a1 W) as proof of ((rel_s5 W) V)
% 36.81/37.04 Found (x2 (a1 W)) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 36.81/37.04 Found a10:=(a1 W):((rel_s5 W) W)
% 36.81/37.04 Found (a1 W) as proof of ((rel_s5 W) V)
% 36.81/37.04 Found (a1 W) as proof of ((rel_s5 W) V)
% 36.81/37.04 Found (a1 W) as proof of ((rel_s5 W) V)
% 36.81/37.04 Found (x2 (a1 W)) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 36.81/37.04 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 36.81/37.04 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 36.81/37.04 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 36.81/37.04 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 36.81/37.04 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 36.81/37.04 Found a10:=(a1 S):((rel_s5 S) S)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (x3 (a1 S)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 V):((rel_s5 V) V)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (x3 (a1 V)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 S):((rel_s5 S) S)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (x3 (a1 S)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 V):((rel_s5 V) V)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (x2 (a1 V)) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.81/37.04 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 S):((rel_s5 S) S)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (x3 (a1 S)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 S):((rel_s5 S) S)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (a1 S) as proof of ((rel_s5 S) V0)
% 36.81/37.04 Found (x3 (a1 S)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 36.81/37.04 Found a10:=(a1 V):((rel_s5 V) V)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (a1 V) as proof of ((rel_s5 V) V0)
% 36.81/37.04 Found (x3 (a1 V)) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 36.81/37.04 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 49.30/49.58 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found a10:=(a1 V):((rel_s5 V) V)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (x2 (a1 V)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 49.30/49.58 Found a10:=(a1 V):((rel_s5 V) V)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (a1 V) as proof of ((rel_s5 V) V0)
% 49.30/49.58 Found (x2 (a1 V)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V0)
% 49.30/49.58 Found a10:=(a1 S):((rel_s5 S) S)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (x2 (a1 S)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 49.30/49.58 Found a10:=(a1 S):((rel_s5 S) S)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V)
% 49.30/49.58 Found (x2 (a1 S)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (x2 (a1 W)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 49.30/49.58 Found a10:=(a1 W):((rel_s5 W) W)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (a1 W) as proof of ((rel_s5 W) V)
% 49.30/49.58 Found (x2 (a1 W)) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 49.30/49.58 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 49.30/49.58 Found a10:=(a1 S):((rel_s5 S) S)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V0)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V0)
% 49.30/49.58 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found a10:=(a1 S):((rel_s5 S) S)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found a10:=(a1 S):((rel_s5 S) S)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 57.59/57.87 Found a10:=(a1 V):((rel_s5 V) V)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (x2 (a1 V)) as proof of False
% 57.59/57.87 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 57.59/57.87 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 57.59/57.87 Found a10:=(a1 V):((rel_s5 V) V)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (x2 (a1 V)) as proof of False
% 57.59/57.87 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 57.59/57.87 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 57.59/57.87 Found a10:=(a1 W):((rel_s5 W) W)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (x3 (a1 W)) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 57.59/57.87 Found a10:=(a1 W):((rel_s5 W) W)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.59/57.87 Found (x3 (a1 W)) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 57.59/57.87 Found a10:=(a1 V):((rel_s5 V) V)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (a1 V) as proof of ((rel_s5 V) V0)
% 57.59/57.87 Found (x3 (a1 V)) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 57.59/57.87 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 57.59/57.87 Found a10:=(a1 S):((rel_s5 S) S)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found (a1 S) as proof of ((rel_s5 S) V0)
% 57.59/57.87 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (x3 (a1 W)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 V):((rel_s5 V) V)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (x3 (a1 V)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (x3 (a1 W)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (x3 (a1 W)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 V):((rel_s5 V) V)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (x3 (a1 V)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (x3 (a1 W)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.17/61.42 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 61.17/61.42 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (x3 (a1 W)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 V):((rel_s5 V) V)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (a1 V) as proof of ((rel_s5 V) V0)
% 61.17/61.42 Found (x3 (a1 V)) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 61.17/61.42 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 61.17/61.42 Found a10:=(a1 W):((rel_s5 W) W)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.17/61.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found (x3 (a1 W)) as proof of False
% 68.89/69.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 68.89/69.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 68.89/69.10 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found a10:=(a1 W):((rel_s5 W) W)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found a10:=(a1 S):((rel_s5 S) S)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (x2 (a1 S)) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 68.89/69.10 Found a10:=(a1 S):((rel_s5 S) S)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (a1 S) as proof of ((rel_s5 S) V)
% 68.89/69.10 Found (x2 (a1 S)) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 68.89/69.10 Found a10:=(a1 W):((rel_s5 W) W)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 68.89/69.10 Found a10:=(a1 V):((rel_s5 V) V)
% 68.89/69.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 68.89/69.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 68.89/69.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 68.89/69.10 Found (x2 (a1 V)) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 68.89/69.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 68.89/69.10 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 68.89/69.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V0)
% 74.58/74.82 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (x2 (a1 W)) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (x2 (a1 W)) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (x2 (a1 W)) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 74.58/74.82 Found a10:=(a1 W):((rel_s5 W) W)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (a1 W) as proof of ((rel_s5 W) V)
% 74.58/74.82 Found (x2 (a1 W)) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 74.58/74.82 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 79.09/79.31 Found a10:=(a1 W):((rel_s5 W) W)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (x2 (a1 W)) as proof of False
% 79.09/79.31 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 79.09/79.31 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 79.09/79.31 Found a10:=(a1 W):((rel_s5 W) W)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (a1 W) as proof of ((rel_s5 W) V)
% 79.09/79.31 Found (x2 (a1 W)) as proof of False
% 79.09/79.31 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 79.09/79.31 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 V):((rel_s5 V) V)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (x3 (a1 V)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 V):((rel_s5 V) V)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (x3 (a1 V)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 V):((rel_s5 V) V)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (a1 V) as proof of ((rel_s5 V) V0)
% 79.09/79.31 Found (x3 (a1 V)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 79.09/79.31 Found a10:=(a1 S):((rel_s5 S) S)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (a1 S) as proof of ((rel_s5 S) V0)
% 79.09/79.31 Found (x3 (a1 S)) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 79.09/79.31 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.98/84.24 Found a10:=(a1 S):((rel_s5 S) S)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (x3 (a1 S)) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.98/84.24 Found a10:=(a1 V):((rel_s5 V) V)
% 83.98/84.24 Found (a1 V) as proof of ((rel_s5 V) V0)
% 83.98/84.24 Found (a1 V) as proof of ((rel_s5 V) V0)
% 83.98/84.24 Found (a1 V) as proof of ((rel_s5 V) V0)
% 83.98/84.24 Found (x3 (a1 V)) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 83.98/84.24 Found a10:=(a1 S):((rel_s5 S) S)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.98/84.24 Found (x3 (a1 S)) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 83.98/84.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.98/84.24 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 83.98/84.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 93.11/93.39 Found a10:=(a1 S):((rel_s5 S) S)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found a10:=(a1 S):((rel_s5 S) S)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.11/93.39 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 93.11/93.39 Found a10:=(a1 W):((rel_s5 W) W)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (x3 (a1 W)) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 93.11/93.39 Found a10:=(a1 W):((rel_s5 W) W)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.11/93.39 Found (x3 (a1 W)) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 93.11/93.39 Found a10:=(a1 V):((rel_s5 V) V)
% 93.11/93.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 93.11/93.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 93.11/93.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 93.11/93.39 Found (x3 (a1 V)) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 93.11/93.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 93.11/93.39 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 93.11/93.39 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 93.11/93.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 97.78/98.10 Found a10:=(a1 V):((rel_s5 V) V)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (x2 (a1 V)) as proof of False
% 97.78/98.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 97.78/98.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 97.78/98.10 Found a10:=(a1 W):((rel_s5 W) W)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (x3 (a1 W)) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 97.78/98.10 Found a10:=(a1 V):((rel_s5 V) V)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (x3 (a1 V)) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 97.78/98.10 Found a10:=(a1 W):((rel_s5 W) W)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (a1 W) as proof of ((rel_s5 W) V0)
% 97.78/98.10 Found (x3 (a1 W)) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 97.78/98.10 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 97.78/98.10 Found a10:=(a1 V):((rel_s5 V) V)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (a1 V) as proof of ((rel_s5 V) V0)
% 97.78/98.10 Found (x2 (a1 V)) as proof of False
% 97.78/98.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 97.78/98.10 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 97.78/98.10 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 97.78/98.10 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 V):((rel_s5 V) V)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (x3 (a1 V)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 S):((rel_s5 S) S)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 V):((rel_s5 V) V)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (x3 (a1 V)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 S):((rel_s5 S) S)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found (a1 S) as proof of ((rel_s5 S) V0)
% 105.49/105.73 Found a10:=(a1 V):((rel_s5 V) V)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (x2 (a1 V)) as proof of False
% 105.49/105.73 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 105.49/105.73 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 V):((rel_s5 V) V)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (a1 V) as proof of ((rel_s5 V) V0)
% 105.49/105.73 Found (x3 (a1 V)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 105.49/105.73 Found a10:=(a1 W):((rel_s5 W) W)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (a1 W) as proof of ((rel_s5 W) V0)
% 105.49/105.73 Found (x3 (a1 W)) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 105.49/105.73 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 105.49/105.73 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found a10:=(a1 W):((rel_s5 W) W)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (x3 (a1 W)) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 108.88/109.15 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)))
% 108.88/109.15 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 108.88/109.15 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 108.88/109.15 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 108.88/109.15 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 108.88/109.15 Found a10:=(a1 W):((rel_s5 W) W)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (x3 (a1 W)) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 108.88/109.15 Found a10:=(a1 V):((rel_s5 V) V)
% 108.88/109.15 Found (a1 V) as proof of ((rel_s5 V) V0)
% 108.88/109.15 Found (a1 V) as proof of ((rel_s5 V) V0)
% 108.88/109.15 Found (a1 V) as proof of ((rel_s5 V) V0)
% 108.88/109.15 Found (x3 (a1 V)) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 108.88/109.15 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 108.88/109.15 Found a10:=(a1 S):((rel_s5 S) S)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (x2 (a1 S)) as proof of False
% 108.88/109.15 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 108.88/109.15 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 108.88/109.15 Found a10:=(a1 S):((rel_s5 S) S)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (a1 S) as proof of ((rel_s5 S) V)
% 108.88/109.15 Found (x2 (a1 S)) as proof of False
% 108.88/109.15 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 108.88/109.15 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 108.88/109.15 Found a10:=(a1 W):((rel_s5 W) W)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 108.88/109.15 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 108.88/109.15 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found a10:=(a1 S):((rel_s5 S) S)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (x2 (a1 S)) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 121.08/121.32 Found a10:=(a1 S):((rel_s5 S) S)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (x2 (a1 S)) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 121.08/121.32 Found a10:=(a1 S):((rel_s5 S) S)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (x2 (a1 S)) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 121.08/121.32 Found a10:=(a1 S):((rel_s5 S) S)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (a1 S) as proof of ((rel_s5 S) V)
% 121.08/121.32 Found (x2 (a1 S)) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 121.08/121.32 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 121.08/121.32 Found a10:=(a1 W):((rel_s5 W) W)
% 121.08/121.32 Found (a1 W) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (a1 W) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (a1 W) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 121.08/121.32 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 121.08/121.32 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 121.08/121.32 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)))
% 129.22/129.47 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 129.22/129.47 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 129.22/129.47 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 129.22/129.47 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 129.22/129.47 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 129.22/129.47 Found x3:(((rel_s5 W) V0)->False)
% 129.22/129.47 Instantiate: V0:=V00:fofType;V:=W:fofType
% 129.22/129.47 Found x3 as proof of (((rel_s5 V) V00)->False)
% 129.22/129.47 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 129.22/129.47 Found ((or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 129.22/129.47 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 129.22/129.47 Found a10:=(a1 W):((rel_s5 W) W)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found a10:=(a1 W):((rel_s5 W) W)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (x2 (a1 W)) as proof of False
% 129.22/129.47 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 129.22/129.47 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 129.22/129.47 Found a10:=(a1 W):((rel_s5 W) W)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (a1 W) as proof of ((rel_s5 W) V)
% 129.22/129.47 Found (x2 (a1 W)) as proof of False
% 129.22/129.47 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 129.22/129.47 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 129.22/129.47 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 129.22/129.47 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 129.22/129.47 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 129.22/129.47 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 129.22/129.47 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 129.22/129.47 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 129.22/129.47 Found x3:(((rel_s5 W) V0)->False)
% 129.22/129.47 Instantiate: V0:=V00:fofType
% 129.22/129.47 Found x3 as proof of (((rel_s5 V) V00)->False)
% 129.22/129.47 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 129.22/129.47 Found ((or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 138.38/138.67 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 138.38/138.67 Found a10:=(a1 W):((rel_s5 W) W)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found a10:=(a1 W):((rel_s5 W) W)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found a10:=(a1 W):((rel_s5 W) W)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (x2 (a1 W)) as proof of False
% 138.38/138.67 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 138.38/138.67 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 138.38/138.67 Found a10:=(a1 W):((rel_s5 W) W)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.38/138.67 Found (x2 (a1 W)) as proof of False
% 138.38/138.67 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of False
% 138.38/138.67 Found (fun (x2:(((rel_s5 W) V)->False))=> (x2 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 138.38/138.67 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 138.38/138.67 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.38/138.67 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.38/138.67 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.38/138.67 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found a10:=(a1 W):((rel_s5 W) W)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.38/138.67 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 138.38/138.67 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found a10:=(a1 S):((rel_s5 S) S)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (x3 (a1 S)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 V):((rel_s5 V) V)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (x3 (a1 V)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 S):((rel_s5 S) S)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (x3 (a1 S)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 V):((rel_s5 V) V)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (x3 (a1 V)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 147.12/147.39 Found a10:=(a1 S):((rel_s5 S) S)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (x3 (a1 S)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 V):((rel_s5 V) V)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 147.12/147.39 Found (x3 (a1 V)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 S):((rel_s5 S) S)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 147.12/147.39 Found (x3 (a1 S)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 147.12/147.39 Found a10:=(a1 V):((rel_s5 V) V)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 147.12/147.39 Found (x3 (a1 V)) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 147.12/147.39 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 147.12/147.39 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 147.12/147.39 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 150.45/150.70 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 150.45/150.70 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 150.45/150.70 Found a10:=(a1 V):((rel_s5 V) V)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (x2 (a1 V)) as proof of False
% 150.45/150.70 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 150.45/150.70 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 150.45/150.70 Found a10:=(a1 S):((rel_s5 S) S)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (x3 (a1 S)) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 150.45/150.70 Found a10:=(a1 S):((rel_s5 S) S)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (x3 (a1 S)) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 150.45/150.70 Found a10:=(a1 V):((rel_s5 V) V)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (a1 V) as proof of ((rel_s5 V) V0)
% 150.45/150.70 Found (x3 (a1 V)) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 150.45/150.70 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 150.45/150.70 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 150.45/150.70 Found a10:=(a1 S):((rel_s5 S) S)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (a1 S) as proof of ((rel_s5 S) V0)
% 150.45/150.70 Found (x3 (a1 S)) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.45/150.70 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 150.45/150.70 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 150.45/150.70 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 150.45/150.70 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 155.78/156.12 Found a10:=(a1 S):((rel_s5 S) S)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (x3 (a1 S)) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 155.78/156.12 Found a10:=(a1 V):((rel_s5 V) V)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (x3 (a1 V)) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 155.78/156.12 Found a10:=(a1 V):((rel_s5 V) V)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (x2 (a1 V)) as proof of False
% 155.78/156.12 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 155.78/156.12 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 155.78/156.12 Found or_intror00:=(or_intror0 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)))
% 155.78/156.12 Found (or_intror0 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 155.78/156.12 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 155.78/156.12 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 155.78/156.12 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 155.78/156.12 Found a10:=(a1 S):((rel_s5 S) S)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (x3 (a1 S)) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 155.78/156.12 Found a10:=(a1 V):((rel_s5 V) V)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (a1 V) as proof of ((rel_s5 V) V0)
% 155.78/156.12 Found (x3 (a1 V)) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 155.78/156.12 Found a10:=(a1 S):((rel_s5 S) S)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (a1 S) as proof of ((rel_s5 S) V0)
% 155.78/156.12 Found (x3 (a1 S)) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 155.78/156.12 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 155.78/156.12 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 155.78/156.12 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 155.78/156.12 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 155.78/156.12 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 155.78/156.12 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 155.78/156.12 Found a10:=(a1 S):((rel_s5 S) S)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (x3 (a1 S)) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 159.45/159.74 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 159.45/159.74 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 159.45/159.74 Found a10:=(a1 S):((rel_s5 S) S)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (x3 (a1 S)) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 159.45/159.74 Found a10:=(a1 V):((rel_s5 V) V)
% 159.45/159.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 159.45/159.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 159.45/159.74 Found (a1 V) as proof of ((rel_s5 V) V0)
% 159.45/159.74 Found (x3 (a1 V)) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 159.45/159.74 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 159.45/159.74 Found a10:=(a1 S):((rel_s5 S) S)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found (a1 S) as proof of ((rel_s5 S) V0)
% 159.45/159.74 Found a10:=(a1 W):((rel_s5 W) W)
% 159.45/159.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 159.45/159.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 159.45/159.74 Found (a1 W) as proof of ((rel_s5 W) V0)
% 159.45/159.74 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 159.45/159.74 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 162.54/162.85 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 162.54/162.85 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 162.54/162.85 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 162.54/162.85 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 162.54/162.85 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 162.54/162.85 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 162.54/162.85 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 162.54/162.85 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 162.54/162.85 Found x3:((rel_s5 V) V0)
% 162.54/162.85 Instantiate: V1:=V0:fofType;V:=W:fofType
% 162.54/162.85 Found x3 as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (x4 x3) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x3)) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x3)) as proof of ((((rel_s5 W) V1)->False)->False)
% 162.54/162.85 Found a10:=(a1 W):((rel_s5 W) W)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (x4 (a1 W)) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 162.54/162.85 Found a10:=(a1 V):((rel_s5 V) V)
% 162.54/162.85 Found (a1 V) as proof of ((rel_s5 V) V00)
% 162.54/162.85 Found (a1 V) as proof of ((rel_s5 V) V00)
% 162.54/162.85 Found (a1 V) as proof of ((rel_s5 V) V00)
% 162.54/162.85 Found (x4 (a1 V)) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 162.54/162.85 Found a10:=(a1 W):((rel_s5 W) W)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (x4 (a1 W)) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 162.54/162.85 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 162.54/162.85 Found a10:=(a1 W):((rel_s5 W) W)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 162.54/162.85 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.93/167.24 Found (x4 (a1 W)) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 166.93/167.24 Found a10:=(a1 V):((rel_s5 V) V)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 166.93/167.24 Found (x4 (a1 V)) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 166.93/167.24 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 166.93/167.24 Found (x4 (a1 V0)) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 166.93/167.24 Found a10:=(a1 S):((rel_s5 S) S)
% 166.93/167.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found a10:=(a1 W):((rel_s5 W) W)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 166.93/167.24 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 166.93/167.24 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 166.93/167.24 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 166.93/167.24 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 166.93/167.24 Found a10:=(a1 W):((rel_s5 W) W)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 166.93/167.24 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 166.93/167.24 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 166.93/167.24 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 166.93/167.24 Found x3:((rel_s5 V) V0)
% 166.93/167.24 Instantiate: V1:=V0:fofType
% 166.93/167.24 Found x3 as proof of ((rel_s5 W) V1)
% 166.93/167.24 Found (x4 x3) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x3)) as proof of False
% 166.93/167.24 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x3)) as proof of ((((rel_s5 W) V1)->False)->False)
% 166.93/167.24 Found a10:=(a1 V):((rel_s5 V) V)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 166.93/167.24 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (x4 (a1 V)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 V):((rel_s5 V) V)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (x4 (a1 V)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 V):((rel_s5 V) V)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (x4 (a1 V)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 169.06/169.34 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.06/169.34 Found (x4 (a1 V0)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 W):((rel_s5 W) W)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (a1 W) as proof of ((rel_s5 W) V1)
% 169.06/169.34 Found (x4 (a1 W)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 169.06/169.34 Found a10:=(a1 V):((rel_s5 V) V)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (a1 V) as proof of ((rel_s5 V) V00)
% 169.06/169.34 Found (x4 (a1 V)) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 169.06/169.34 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 169.06/169.34 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 169.06/169.34 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 173.89/174.20 Found (x4 (a1 V0)) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 173.89/174.20 Found a10:=(a1 W):((rel_s5 W) W)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V0)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V0)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V0)
% 173.89/174.20 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 173.89/174.20 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 173.89/174.20 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 173.89/174.20 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 173.89/174.20 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 173.89/174.20 Found a10:=(a1 W):((rel_s5 W) W)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (x4 (a1 W)) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 173.89/174.20 Found a10:=(a1 W):((rel_s5 W) W)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (a1 W) as proof of ((rel_s5 W) V1)
% 173.89/174.20 Found (x4 (a1 W)) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 173.89/174.20 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 178.18/178.45 Found a10:=(a1 V):((rel_s5 V) V)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (x4 (a1 V)) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 178.18/178.45 Found a10:=(a1 W):((rel_s5 W) W)
% 178.18/178.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 178.18/178.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 178.18/178.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 178.18/178.45 Found (x4 (a1 W)) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 178.18/178.45 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 178.18/178.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 178.18/178.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 178.18/178.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 178.18/178.45 Found (x4 (a1 V0)) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 178.18/178.45 Found a10:=(a1 V):((rel_s5 V) V)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 178.18/178.45 Found (x4 (a1 V)) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 178.18/178.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 178.18/178.45 Found or_intror00:=(or_intror0 (((rel_s5 S) V1)->False)):((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)))
% 178.18/178.45 Found (or_intror0 (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 178.18/178.45 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 178.18/178.45 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 178.18/178.45 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 178.18/178.45 Found ((or_intror ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 S) V1)->False)) as proof of ((((rel_s5 S) V1)->False)->((or ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 178.18/178.45 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 178.18/178.45 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 178.18/178.45 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 178.18/178.45 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V1)))
% 185.07/185.39 Found a10:=(a1 V):((rel_s5 V) V)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (x2 (a1 V)) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 185.07/185.39 Found a10:=(a1 V):((rel_s5 V) V)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (x2 (a1 V)) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 185.07/185.39 Found a10:=(a1 V):((rel_s5 V) V)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (x2 (a1 V)) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 185.07/185.39 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 185.07/185.39 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 185.07/185.39 Found x3:(((rel_s5 S) V0)->False)
% 185.07/185.39 Instantiate: V0:=V00:fofType;V:=S:fofType
% 185.07/185.39 Found x3 as proof of (((rel_s5 V) V00)->False)
% 185.07/185.39 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 185.07/185.39 Found ((or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 185.07/185.39 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 185.07/185.39 Found a10:=(a1 W):((rel_s5 W) W)
% 185.07/185.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 185.07/185.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 185.07/185.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 185.07/185.39 Found (x3 (a1 W)) as proof of False
% 185.07/185.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 185.07/185.39 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 185.07/185.39 Found a10:=(a1 V):((rel_s5 V) V)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (a1 V) as proof of ((rel_s5 V) V0)
% 185.07/185.39 Found (x3 (a1 V)) as proof of False
% 185.07/185.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 185.07/185.39 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 192.31/192.61 Found a10:=(a1 W):((rel_s5 W) W)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (x3 (a1 W)) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 192.31/192.61 Found a10:=(a1 S):((rel_s5 S) S)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found a10:=(a1 W):((rel_s5 W) W)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 192.31/192.61 Found x3:(((rel_s5 S) V0)->False)
% 192.31/192.61 Instantiate: V0:=V00:fofType
% 192.31/192.61 Found x3 as proof of (((rel_s5 V) V00)->False)
% 192.31/192.61 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 192.31/192.61 Found ((or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 192.31/192.61 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00))
% 192.31/192.61 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 192.31/192.61 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 192.31/192.61 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 192.31/192.61 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 192.31/192.61 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found a10:=(a1 W):((rel_s5 W) W)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (x3 (a1 W)) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 192.31/192.61 Found a10:=(a1 W):((rel_s5 W) W)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 192.31/192.61 Found (x3 (a1 W)) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 192.31/192.61 Found a10:=(a1 V):((rel_s5 V) V)
% 192.31/192.61 Found (a1 V) as proof of ((rel_s5 V) V0)
% 192.31/192.61 Found (a1 V) as proof of ((rel_s5 V) V0)
% 192.31/192.61 Found (a1 V) as proof of ((rel_s5 V) V0)
% 192.31/192.61 Found (x3 (a1 V)) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 192.31/192.61 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 192.31/192.61 Found a10:=(a1 S):((rel_s5 S) S)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found (a1 S) as proof of ((rel_s5 S) V0)
% 192.31/192.61 Found a10:=(a1 W):((rel_s5 W) W)
% 192.31/192.61 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found a10:=(a1 V):((rel_s5 V) V)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (x2 (a1 V)) as proof of False
% 200.23/200.53 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 200.23/200.53 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (x4 (a1 W)) as proof of False
% 200.23/200.53 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 200.23/200.53 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 200.23/200.53 Found a10:=(a1 V):((rel_s5 V) V)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (a1 V) as proof of ((rel_s5 V) V0)
% 200.23/200.53 Found (x2 (a1 V)) as proof of False
% 200.23/200.53 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 200.23/200.53 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found a10:=(a1 S):((rel_s5 S) S)
% 200.23/200.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found or_introl00:=(or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found (or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 200.23/200.53 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 200.23/200.53 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 200.23/200.53 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 200.23/200.53 Found (a1 V0) as proof of ((rel_s5 V0) S)
% 200.23/200.53 Found (a300 (a1 V0)) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found ((a30 S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found (((a3 V0) S) (a1 V0)) as proof of ((rel_s5 S) V0)
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (x4 (a1 W)) as proof of False
% 200.23/200.53 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 200.23/200.53 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 200.23/200.53 Found (x3 (a1 W)) as proof of False
% 200.23/200.53 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of False
% 200.23/200.53 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mdia_s5 (mbox_s5 p))) V0)
% 200.23/200.53 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (mdia_s5 (mbox_s5 p))) V0))
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 200.23/200.53 Found a10:=(a1 W):((rel_s5 W) W)
% 200.23/200.53 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found a10:=(a1 S):((rel_s5 S) S)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V0)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V0)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V0)
% 215.12/215.45 Found a10:=(a1 S):((rel_s5 S) S)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (x2 (a1 S)) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 215.12/215.45 Found a10:=(a1 S):((rel_s5 S) S)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (x2 (a1 S)) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 215.12/215.45 Found a10:=(a1 S):((rel_s5 S) S)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (x2 (a1 S)) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 215.12/215.45 Found a10:=(a1 S):((rel_s5 S) S)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (a1 S) as proof of ((rel_s5 S) V)
% 215.12/215.45 Found (x2 (a1 S)) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of False
% 215.12/215.45 Found (fun (x2:(((rel_s5 S) V)->False))=> (x2 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 215.12/215.45 Found a10:=(a1 W):((rel_s5 W) W)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.12/215.45 Found (x3 (a1 W)) as proof of False
% 215.12/215.45 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of False
% 215.12/215.45 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mdia_s5 (mbox_s5 p))) V0)
% 215.12/215.45 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:((mdia_s5 (mbox_s5 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (mdia_s5 (mbox_s5 p))) V0))
% 215.12/215.45 Found a10:=(a1 W):((rel_s5 W) W)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found (a1 W) as proof of ((rel_s5 W) V0)
% 215.12/215.45 Found a10:=(a1 V):((rel_s5 V) V)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (x4 (a1 V)) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 215.12/215.45 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (x4 (a1 V0)) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 215.12/215.45 Found a10:=(a1 V):((rel_s5 V) V)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (x3 (a1 V)) as proof of False
% 215.12/215.45 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 215.12/215.45 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 215.12/215.45 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 215.12/215.45 Found (x4 (a1 V0)) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 215.12/215.45 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 215.12/215.45 Found a10:=(a1 V):((rel_s5 V) V)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (a1 V) as proof of ((rel_s5 V) V00)
% 215.12/215.45 Found (x4 (a1 V)) as proof of False
% 223.25/223.54 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 223.25/223.54 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 223.25/223.54 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)))
% 223.25/223.54 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 223.25/223.54 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 223.25/223.54 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 223.25/223.54 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 223.25/223.54 Found a10:=(a1 V):((rel_s5 V) V)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (x3 (a1 V)) as proof of False
% 223.25/223.54 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of False
% 223.25/223.54 Found (fun (x3:(((rel_s5 V) V00)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 223.25/223.54 Found (fun (x3:(((rel_s5 V) V00)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 223.25/223.54 Found a10:=(a1 W):((rel_s5 W) W)
% 223.25/223.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 223.25/223.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 223.25/223.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 223.25/223.54 Found a10:=(a1 V):((rel_s5 V) V)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 223.25/223.54 Found (x3 (a1 V)) as proof of False
% 223.25/223.54 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 223.25/223.54 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 223.25/223.54 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 223.25/223.54 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 223.25/223.54 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 223.25/223.54 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 223.25/223.54 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 223.25/223.54 Found a10:=(a1 V):((rel_s5 V) V)
% 223.25/223.54 Found (a1 V) as proof of ((rel_s5 V) V00)
% 230.41/230.69 Found (a1 V) as proof of ((rel_s5 V) V00)
% 230.41/230.69 Found (a1 V) as proof of ((rel_s5 V) V00)
% 230.41/230.69 Found (x3 (a1 V)) as proof of False
% 230.41/230.69 Found (fun (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of False
% 230.41/230.69 Found (fun (x3:(((rel_s5 V) V00)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of ((mdia_s5 (mbox_s5 p)) V0)
% 230.41/230.69 Found (fun (x3:(((rel_s5 V) V00)->False)) (x4:((mbox_s5 (mnot (mbox_s5 p))) V0))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->((mdia_s5 (mbox_s5 p)) V0))
% 230.41/230.69 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 230.41/230.69 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 230.41/230.69 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 230.41/230.69 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 230.41/230.69 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found a10:=(a1 W):((rel_s5 W) W)
% 230.41/230.69 Found (a1 W) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found (a1 W) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found (a1 W) as proof of ((rel_s5 W) V0)
% 230.41/230.69 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 230.41/230.69 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 230.41/230.69 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 230.41/230.69 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 230.41/230.69 Found x3:((rel_s5 V) V0)
% 230.41/230.69 Instantiate: V1:=V0:fofType;V:=S:fofType
% 230.41/230.69 Found x3 as proof of ((rel_s5 S) V1)
% 230.41/230.69 Found (x4 x3) as proof of False
% 230.41/230.69 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x3)) as proof of False
% 230.41/230.69 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x3)) as proof of ((((rel_s5 S) V1)->False)->False)
% 230.41/230.69 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 230.41/230.69 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 230.41/230.69 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 239.13/239.39 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 239.13/239.39 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found a10:=(a1 W):((rel_s5 W) W)
% 239.13/239.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found (a1 W) as proof of ((rel_s5 W) V0)
% 239.13/239.39 Found a10:=(a1 S):((rel_s5 S) S)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (x4 (a1 S)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 239.13/239.39 Found a10:=(a1 S):((rel_s5 S) S)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (x4 (a1 S)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 239.13/239.39 Found a10:=(a1 V):((rel_s5 V) V)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (x4 (a1 V)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 239.13/239.39 Found a10:=(a1 S):((rel_s5 S) S)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 239.13/239.39 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 239.13/239.39 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 239.13/239.39 Found (x4 (a1 V0)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 239.13/239.39 Found a10:=(a1 S):((rel_s5 S) S)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V1)
% 239.13/239.39 Found (x4 (a1 S)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 239.13/239.39 Found a10:=(a1 V):((rel_s5 V) V)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (a1 V) as proof of ((rel_s5 V) V00)
% 239.13/239.39 Found (x4 (a1 V)) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 239.13/239.39 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 239.13/239.39 Found a10:=(a1 S):((rel_s5 S) S)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 239.13/239.39 Found (a1 S) as proof of ((rel_s5 S) V0)
% 241.83/242.15 Found x3:((rel_s5 V) V0)
% 241.83/242.15 Instantiate: V1:=V0:fofType
% 241.83/242.15 Found x3 as proof of ((rel_s5 S) V1)
% 241.83/242.15 Found (x4 x3) as proof of False
% 241.83/242.15 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x3)) as proof of False
% 241.83/242.15 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 x3)) as proof of ((((rel_s5 S) V1)->False)->False)
% 241.83/242.15 Found a10:=(a1 W):((rel_s5 W) W)
% 241.83/242.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 241.83/242.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 241.83/242.15 Found (a1 W) as proof of ((rel_s5 W) V0)
% 241.83/242.15 Found (x3 (a1 W)) as proof of False
% 241.83/242.15 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))) as proof of False
% 241.83/242.15 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mdia_s5 (mbox_s5 p))) V00)
% 241.83/242.15 Found (or_intror00 (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 241.83/242.15 Found ((or_intror0 ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 241.83/242.15 Found (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 241.83/242.15 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 241.83/242.15 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 241.83/242.15 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mnot (mdia_s5 (mbox_s5 p)))) V)
% 241.83/242.15 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mnot (mdia_s5 (mbox_s5 p)))) V))
% 241.83/242.15 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 241.83/242.15 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 250.18/250.47 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 250.18/250.47 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 250.18/250.47 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 250.18/250.47 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 250.18/250.47 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 250.18/250.47 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 250.18/250.47 Found a10:=(a1 W):((rel_s5 W) W)
% 250.18/250.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 250.18/250.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 250.18/250.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (x4 (a1 S)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 250.18/250.47 Found a10:=(a1 V):((rel_s5 V) V)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (x4 (a1 V)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (x4 (a1 S)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (x4 (a1 S)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (x4 (a1 S)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 250.18/250.47 Found a10:=(a1 V):((rel_s5 V) V)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (a1 V) as proof of ((rel_s5 V) V00)
% 250.18/250.47 Found (x4 (a1 V)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V0)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V0)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V0)
% 250.18/250.47 Found a10:=(a1 S):((rel_s5 S) S)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (a1 S) as proof of ((rel_s5 S) V1)
% 250.18/250.47 Found (x4 (a1 S)) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 250.18/250.47 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 253.08/253.41 Found a10:=(a1 S):((rel_s5 S) S)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 253.08/253.41 Found (x4 (a1 S)) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 253.08/253.41 Found a10:=(a1 V):((rel_s5 V) V)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (x4 (a1 V)) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 253.08/253.41 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (x4 (a1 V0)) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 253.08/253.41 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 253.08/253.41 Found (x4 (a1 V0)) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 253.08/253.41 Found a10:=(a1 V):((rel_s5 V) V)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (a1 V) as proof of ((rel_s5 V) V00)
% 253.08/253.41 Found (x4 (a1 V)) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 253.08/253.41 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 253.08/253.41 Found a10:=(a1 S):((rel_s5 S) S)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.08/253.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 253.08/253.41 Found a10:=(a1 W):((rel_s5 W) W)
% 253.08/253.41 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.08/253.41 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.08/253.41 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.08/253.41 Found (x3 (a1 W)) as proof of False
% 253.08/253.41 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))) as proof of False
% 253.08/253.41 Found (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mdia_s5 (mbox_s5 p))) V00)
% 253.08/253.41 Found (or_intror00 (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 253.08/253.41 Found ((or_intror0 ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 253.08/253.41 Found (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 253.08/253.41 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 253.08/253.41 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 253.08/253.41 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mnot (mdia_s5 (mbox_s5 p)))) V)
% 253.08/253.41 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) (fun (x4:((mdia_s5 (mbox_s5 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mnot (mdia_s5 (mbox_s5 p)))) V))
% 253.08/253.41 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)))
% 257.52/257.86 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)))
% 257.52/257.86 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 257.52/257.86 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 257.52/257.86 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 257.52/257.86 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 257.52/257.86 Found ((or_intror ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot (mdia_s5 (mbox_s5 p))) V0)) (((rel_s5 V) V0)->False)))
% 257.52/257.86 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 257.52/257.86 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 257.52/257.86 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found a10:=(a1 S):((rel_s5 S) S)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (x4 (a1 S)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 264.15/264.50 Found a10:=(a1 S):((rel_s5 S) S)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (x4 (a1 S)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 264.15/264.50 Found a10:=(a1 V):((rel_s5 V) V)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (x4 (a1 V)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 264.15/264.50 Found a10:=(a1 S):((rel_s5 S) S)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 264.15/264.50 Found (x4 (a1 S)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 264.15/264.50 Found a10:=(a1 V):((rel_s5 V) V)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (a1 V) as proof of ((rel_s5 V) V00)
% 264.15/264.50 Found (x4 (a1 V)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V) V00)->False))=> (x4 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 264.15/264.50 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 264.15/264.50 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 264.15/264.50 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 264.15/264.50 Found (a1 V0) as proof of ((rel_s5 V0) V1)
% 264.15/264.50 Found (x4 (a1 V0)) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of False
% 264.15/264.50 Found (fun (x4:(((rel_s5 V0) V1)->False))=> (x4 (a1 V0))) as proof of ((((rel_s5 V0) V1)->False)->False)
% 264.15/264.50 Found x3:(((rel_s5 W) V0)->False)
% 264.15/264.50 Instantiate: V0:=V00:fofType;V:=W:fofType
% 264.15/264.50 Found x3 as proof of (((rel_s5 V) V00)->False)
% 264.15/264.50 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 264.15/264.50 Found ((or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 264.15/264.50 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 264.15/264.50 Found a10:=(a1 W):((rel_s5 W) W)
% 264.15/264.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 264.15/264.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 264.15/264.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 264.15/264.50 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 264.15/264.50 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V1)))
% 268.63/268.96 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V00)))
% 268.63/268.96 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 268.63/268.96 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 268.63/268.96 Found ((or_introl (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 268.63/268.96 Found x3:(((rel_s5 W) V0)->False)
% 268.63/268.96 Instantiate: V0:=V00:fofType
% 268.63/268.96 Found x3 as proof of (((rel_s5 V) V00)->False)
% 268.63/268.96 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 268.63/268.96 Found ((or_introl0 ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 268.63/268.96 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V00))
% 268.63/268.96 Found or_introl10:=(or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 268.63/268.96 Found (or_introl1 ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 268.63/268.96 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 268.63/268.96 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 283.22/283.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot (mdia_s5 (mbox_s5 p))) V0)))
% 283.22/283.50 Found or_introl10:=(or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V2)->False)->((or (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found (or_introl1 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found ((or_introl (((rel_s5 S) V2)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of ((((rel_s5 S) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 283.22/283.50 Found a10:=(a1 W):((rel_s5 W) W)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found a10:=(a1 W):((rel_s5 W) W)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 283.22/283.50 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 283.22/283.50 Found a10:=(a1 S):((rel_s5 S) S)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V1)
% 283.22/283.50 Found (x4 (a1 S)) as proof of False
% 283.22/283.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 283.22/283.50 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 283.22/283.50 Found a10:=(a1 V):((rel_s5 V) V)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (x2 (a1 V)) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 283.22/283.50 Found a10:=(a1 V):((rel_s5 V) V)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (x2 (a1 V)) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 283.22/283.50 Found a10:=(a1 V):((rel_s5 V) V)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (a1 V) as proof of ((rel_s5 V) V0)
% 283.22/283.50 Found (x2 (a1 V)) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 283.22/283.50 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 283.22/283.50 Found a10:=(a1 S):((rel_s5 S) S)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V0)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V0)
% 283.22/283.50 Found (a1 S) as proof of ((rel_s5 S) V0)
% 283.22/283.50 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (x3 (a1 S)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found a10:=(a1 W):((rel_s5 W) W)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found a10:=(a1 V):((rel_s5 V) V)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (x3 (a1 V)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (x3 (a1 S)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 W):((rel_s5 W) W)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (x3 (a1 W)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 W):((rel_s5 W) W)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (a1 W) as proof of ((rel_s5 W) V0)
% 290.63/290.90 Found (x3 (a1 W)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 V):((rel_s5 V) V)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (x3 (a1 V)) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 290.63/290.90 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 V):((rel_s5 V) V)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (x2 (a1 V)) as proof of False
% 290.63/290.90 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 290.63/290.90 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 V):((rel_s5 V) V)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (a1 V) as proof of ((rel_s5 V) V0)
% 290.63/290.90 Found (x2 (a1 V)) as proof of False
% 290.63/290.90 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 290.63/290.90 Found (fun (x2:(((rel_s5 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (x4 (a1 S)) as proof of False
% 290.63/290.90 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 290.63/290.90 Found (fun (x4:(((rel_s5 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V0)
% 290.63/290.90 Found a10:=(a1 S):((rel_s5 S) S)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 290.63/290.90 Found (x3 (a1 S)) as proof of False
% 298.34/298.65 Found (fun (x4:(((mdia rel_s5) (mbox_s5 p)) V0))=> (x3 (a1 S))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mdia rel_s5) (mbox_s5 p)) V0))=> (x3 (a1 S))) as proof of ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V1)->False)) (x4:(((mdia rel_s5) (mbox_s5 p)) V0))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot ((mdia rel_s5) (mbox_s5 p))) V0))
% 298.34/298.65 Found a10:=(a1 S):((rel_s5 S) S)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (x3 (a1 S)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 V):((rel_s5 V) V)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (x3 (a1 V)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 298.34/298.65 Found a10:=(a1 S):((rel_s5 S) S)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found a10:=(a1 V):((rel_s5 V) V)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (x3 (a1 V)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 S):((rel_s5 S) S)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (x3 (a1 S)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 V):((rel_s5 V) V)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V00)
% 298.34/298.65 Found (x3 (a1 V)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V00)->False)->False)
% 298.34/298.65 Found a10:=(a1 W):((rel_s5 W) W)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found a10:=(a1 W):((rel_s5 W) W)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (x3 (a1 W)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 W):((rel_s5 W) W)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 298.34/298.65 Found (x3 (a1 W)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 V):((rel_s5 V) V)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (a1 V) as proof of ((rel_s5 V) V0)
% 298.34/298.65 Found (x3 (a1 V)) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of False
% 298.34/298.65 Found (fun (x3:(((rel_s5 V) V0)->False))=> (x3 (a1 V))) as proof of ((((rel_s5 V) V0)->False)->False)
% 298.34/298.65 Found a10:=(a1 S):((rel_s5 S) S)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found (a1 S) as proof of ((rel_s5 S) V0)
% 298.34/298.65 Found or_introl00:=(or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)):((((rel_s5 S) V1)->False)->((or (((rel_s5 S) V1)->False)) ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)))
% 298.34/298.65 Found (or_introl0 ((mnot ((mdia rel_s5) (mbox_s5 p))) V0)) as proof of
%------------------------------------------------------------------------------