TSTP Solution File: SYO477^6 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO477^6 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 00:51:52 EDT 2022
% Result : Timeout 286.30s 286.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO477^6 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sun Mar 13 08:39:05 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 0.18/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.18/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2abe1a1d8950>, <kernel.Type object at 0x2596248>) of role type named mu_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mu:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x28323f8>, <kernel.DependentProduct object at 0x2576ab8>) of role type named meq_ind_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.18/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.18/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x28328c0>, <kernel.DependentProduct object at 0x2576ab8>) of role type named meq_prop_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.18/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2596248>, <kernel.DependentProduct object at 0x2576f38>) of role type named mnot_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.18/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2576f38>, <kernel.DependentProduct object at 0x2576e18>) of role type named mor_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.18/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2abe1a1d1f38>, <kernel.DependentProduct object at 0x2576c20>) of role type named mand_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.18/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2576c20>, <kernel.DependentProduct object at 0x2576cb0>) of role type named mimplies_type
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.18/0.60 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.18/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.18/0.60 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576cb0>, <kernel.DependentProduct object at 0x2576638>) of role type named mimplied_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.44/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576638>, <kernel.DependentProduct object at 0x2576bd8>) of role type named mequiv_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.44/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576bd8>, <kernel.DependentProduct object at 0x2576ea8>) of role type named mxor_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.44/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576d40>, <kernel.DependentProduct object at 0x2576a70>) of role type named mforall_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.44/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.44/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576a70>, <kernel.DependentProduct object at 0x2576c68>) of role type named mforall_prop_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.44/0.61 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.44/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2576d40>, <kernel.DependentProduct object at 0x259bf38>) of role type named mexists_ind_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.44/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.44/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2576998>, <kernel.DependentProduct object at 0x259b5a8>) of role type named mexists_prop_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.44/0.62 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.44/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2576998>, <kernel.DependentProduct object at 0x259b5a8>) of role type named mtrue_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mtrue:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.44/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2576998>, <kernel.DependentProduct object at 0x259b368>) of role type named mfalse_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mfalse:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.44/0.62 Defined: mfalse:=(mnot mtrue)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x259be60>, <kernel.DependentProduct object at 0x259b440>) of role type named mbox_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.44/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x259b440>, <kernel.DependentProduct object at 0x259b1b8>) of role type named mdia_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.44/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x259b050>, <kernel.DependentProduct object at 0x2598e60>) of role type named mreflexive_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.44/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.44/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.44/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x259b5a8>, <kernel.DependentProduct object at 0x2598710>) of role type named msymmetric_type
% 0.44/0.62 Using role type
% 0.46/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.46/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x259b5a8>, <kernel.DependentProduct object at 0x2598e60>) of role type named mserial_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.46/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x259b5a8>, <kernel.DependentProduct object at 0x25989e0>) of role type named mtransitive_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.46/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x25989e0>, <kernel.DependentProduct object at 0x2598dd0>) of role type named meuclidean_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.46/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2598dd0>, <kernel.DependentProduct object at 0x2598560>) of role type named mpartially_functional_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.46/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.46/0.63 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2598560>, <kernel.DependentProduct object at 0x25983b0>) of role type named mfunctional_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.48/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x25983b0>, <kernel.DependentProduct object at 0x2598320>) of role type named mweakly_dense_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.48/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2598320>, <kernel.DependentProduct object at 0x2598f80>) of role type named mweakly_connected_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.48/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2598dd0>, <kernel.DependentProduct object at 0x2598f80>) of role type named mweakly_directed_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.48/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.48/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2598998>, <kernel.DependentProduct object at 0x27077e8>) of role type named mvalid_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2598998>, <kernel.DependentProduct object at 0x2707638>) of role type named minvalid_type
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2707290>, <kernel.DependentProduct object at 0x2707488>) of role type named msatisfiable_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2707638>, <kernel.DependentProduct object at 0x2707680>) of role type named mcountersatisfiable_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^6.ax, trying next directory
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2abe1a1d8830>, <kernel.DependentProduct object at 0x28323f8>) of role type named rel_s5_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring rel_s5:(fofType->(fofType->Prop))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2abe1a1d8830>, <kernel.DependentProduct object at 0x2832878>) of role type named mbox_s5_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mbox_s5:((fofType->Prop)->(fofType->Prop))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))) of role definition named mbox_s5
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))))
% 0.48/0.65 Defined: mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2abe1a1d8830>, <kernel.DependentProduct object at 0x25766c8>) of role type named mdia_s5_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mdia_s5:((fofType->Prop)->(fofType->Prop))
% 0.48/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))) of role definition named mdia_s5
% 0.48/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))))
% 0.48/0.65 Defined: mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))
% 0.48/0.65 FOF formula (mreflexive rel_s5) of role axiom named a1
% 0.48/0.65 A new axiom: (mreflexive rel_s5)
% 0.48/0.65 FOF formula (mtransitive rel_s5) of role axiom named a2
% 0.48/0.65 A new axiom: (mtransitive rel_s5)
% 0.48/0.65 FOF formula (msymmetric rel_s5) of role axiom named a3
% 0.48/0.65 A new axiom: (msymmetric rel_s5)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2593248>, <kernel.DependentProduct object at 0x2abe1a1f63f8>) of role type named f_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring f:(mu->(fofType->Prop))
% 0.48/0.65 FOF formula (mvalid ((mimplies (mbox_s5 (mexists_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mbox_s5 (f X)))))) of role conjecture named prove
% 0.48/0.65 Conjecture to prove = (mvalid ((mimplies (mbox_s5 (mexists_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mbox_s5 (f X)))))):Prop
% 0.48/0.65 Parameter mu_DUMMY:mu.
% 0.48/0.65 Parameter fofType_DUMMY:fofType.
% 0.48/0.65 We need to prove ['(mvalid ((mimplies (mbox_s5 (mexists_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mbox_s5 (f X))))))']
% 0.48/0.65 Parameter mu:Type.
% 0.48/0.65 Parameter fofType:Type.
% 0.48/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.65 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.65 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 6.76/6.95 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).
% 6.76/6.95 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 6.76/6.95 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 6.76/6.95 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 6.76/6.95 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 6.76/6.95 Parameter rel_s5:(fofType->(fofType->Prop)).
% 6.76/6.95 Definition mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 6.76/6.95 Definition mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 6.76/6.95 Axiom a1:(mreflexive rel_s5).
% 6.76/6.95 Axiom a2:(mtransitive rel_s5).
% 6.76/6.95 Axiom a3:(msymmetric rel_s5).
% 6.76/6.95 Parameter f:(mu->(fofType->Prop)).
% 6.76/6.95 Trying to prove (mvalid ((mimplies (mbox_s5 (mexists_ind (fun (X:mu)=> (f X))))) (mexists_ind (fun (X:mu)=> (mbox_s5 (f X))))))
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (x1 (a1 W)) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (x1 (a1 W)) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 6.76/6.95 Found a10:=(a1 S):((rel_s5 S) S)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (x1 (a1 S)) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 6.76/6.95 Found a10:=(a1 S):((rel_s5 S) S)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (a1 S) as proof of ((rel_s5 S) V)
% 6.76/6.95 Found (x1 (a1 S)) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.76/6.95 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (x3 (a1 W)) as proof of False
% 6.76/6.95 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.76/6.95 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (x3 (a1 W)) as proof of False
% 6.76/6.95 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.76/6.95 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V0)
% 6.76/6.95 Found (x4 (a1 W)) as proof of False
% 6.76/6.95 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 6.76/6.95 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 6.76/6.95 Found a10:=(a1 W):((rel_s5 W) W)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 6.76/6.95 Found (a1 W) as proof of ((rel_s5 W) V)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 11.68/11.89 Found (x1 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 11.68/11.89 Found (x1 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x4 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 11.68/11.89 Found a10:=(a1 W):((rel_s5 W) W)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 11.68/11.89 Found (x3 (a1 W)) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 11.68/11.89 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 11.68/11.89 Found a10:=(a1 S):((rel_s5 S) S)
% 11.68/11.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 11.68/11.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 11.68/11.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (x3 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 S):((rel_s5 S) S)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (x3 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 W):((rel_s5 W) W)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (x1 (a1 W)) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 15.72/15.89 Found a10:=(a1 W):((rel_s5 W) W)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V)
% 15.72/15.89 Found (x1 (a1 W)) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 15.72/15.89 Found a10:=(a1 S):((rel_s5 S) S)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V)
% 15.72/15.89 Found (x1 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 15.72/15.89 Found a10:=(a1 W):((rel_s5 W) W)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (x4 (a1 W)) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 S):((rel_s5 S) S)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (x4 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 W):((rel_s5 W) W)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (x4 (a1 W)) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 W):((rel_s5 W) W)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (a1 W) as proof of ((rel_s5 W) V0)
% 15.72/15.89 Found (x3 (a1 W)) as proof of False
% 15.72/15.89 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 15.72/15.89 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 15.72/15.89 Found a10:=(a1 S):((rel_s5 S) S)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (x4 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 15.72/15.89 Found a10:=(a1 S):((rel_s5 S) S)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (a1 S) as proof of ((rel_s5 S) V0)
% 15.72/15.89 Found (x3 (a1 S)) as proof of False
% 15.72/15.89 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 15.72/15.89 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 18.21/18.40 Found a10:=(a1 S):((rel_s5 S) S)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V)
% 18.21/18.40 Found (x1 (a1 S)) as proof of False
% 18.21/18.40 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 18.21/18.40 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 18.21/18.40 Found a10:=(a1 W):((rel_s5 W) W)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (x3 (a1 W)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 18.21/18.40 Found a10:=(a1 W):((rel_s5 W) W)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (x3 (a1 W)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 18.21/18.40 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 18.21/18.40 Found a10:=(a1 S):((rel_s5 S) S)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (x3 (a1 S)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 18.21/18.40 Found a10:=(a1 S):((rel_s5 S) S)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (x3 (a1 S)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 18.21/18.40 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 18.21/18.40 Found a10:=(a1 W):((rel_s5 W) W)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 18.21/18.40 Found (x3 (a1 W)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 18.21/18.40 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 18.21/18.40 Found a10:=(a1 S):((rel_s5 S) S)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (x3 (a1 S)) as proof of False
% 18.21/18.40 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 18.21/18.40 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 18.21/18.40 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 18.21/18.40 Found a10:=(a1 S):((rel_s5 S) S)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 18.21/18.40 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (x1 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V)
% 21.31/21.48 Found (x1 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x4 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x4 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 21.31/21.48 Found a10:=(a1 S):((rel_s5 S) S)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 21.31/21.48 Found (x3 (a1 S)) as proof of False
% 21.31/21.48 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 21.31/21.48 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 21.31/21.48 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 40.85/41.09 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x3 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x3 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x3 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x3 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V)
% 40.85/41.09 Found (x1 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 40.85/41.09 Found a10:=(a1 W):((rel_s5 W) W)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 40.85/41.09 Found (x4 (a1 W)) as proof of False
% 40.85/41.09 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x4 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x4 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 45.26/45.47 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 45.26/45.47 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 45.26/45.47 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 45.26/45.47 Found a10:=(a1 W):((rel_s5 W) W)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (a1 W) as proof of ((rel_s5 W) V0)
% 45.26/45.47 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.04/61.24 Found a10:=(a1 S):((rel_s5 S) S)
% 61.04/61.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 61.04/61.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 61.04/61.24 Found (a1 S) as proof of ((rel_s5 S) V0)
% 61.04/61.24 Found (x3 (a1 S)) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.04/61.24 Found a10:=(a1 W):((rel_s5 W) W)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (a1 W) as proof of ((rel_s5 W) V0)
% 61.04/61.24 Found (x3 (a1 W)) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 61.04/61.24 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 61.04/61.24 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (x3 (a1 S)) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (x3 (a1 S)) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V)
% 77.30/77.48 Found (x1 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 77.30/77.48 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (x3 (a1 S)) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.30/77.48 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (x4 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (x4 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V1)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V1)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V1)
% 77.30/77.48 Found (x5 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 77.30/77.48 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (x4 (a1 S)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 77.30/77.48 Found (x4 (a1 S)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (x4 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 W):((rel_s5 W) W)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (a1 W) as proof of ((rel_s5 W) V0)
% 77.30/77.48 Found (x4 (a1 W)) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 77.30/77.48 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 77.30/77.48 Found a10:=(a1 S):((rel_s5 S) S)
% 77.30/77.48 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (x4 (a1 S)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (x4 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (x4 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (x5 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 83.96/84.14 Found (x5 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 83.96/84.14 Found a10:=(a1 S):((rel_s5 S) S)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (x4 (a1 S)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (x3 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 83.96/84.14 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 83.96/84.14 Found a10:=(a1 S):((rel_s5 S) S)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (x4 (a1 S)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 S):((rel_s5 S) S)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V)
% 83.96/84.14 Found (x1 (a1 S)) as proof of False
% 83.96/84.14 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 83.96/84.14 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 83.96/84.14 Found a10:=(a1 W):((rel_s5 W) W)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (a1 W) as proof of ((rel_s5 W) V0)
% 83.96/84.14 Found (x4 (a1 W)) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 83.96/84.14 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 83.96/84.14 Found a10:=(a1 S):((rel_s5 S) S)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (a1 S) as proof of ((rel_s5 S) V0)
% 83.96/84.14 Found (x3 (a1 S)) as proof of False
% 83.96/84.14 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 83.96/84.14 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 83.96/84.14 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (x4 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x4:(((rel_s5 W) V0)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (x3 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 S):((rel_s5 S) S)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (x4 (a1 S)) as proof of False
% 89.29/89.54 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 89.29/89.54 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (x3 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 S):((rel_s5 S) S)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (x3 (a1 S)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 89.29/89.54 Found (x5 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (x3 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 S):((rel_s5 S) S)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (a1 S) as proof of ((rel_s5 S) V0)
% 89.29/89.54 Found (x3 (a1 S)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.29/89.54 Found (x3 (a1 W)) as proof of False
% 89.29/89.54 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 89.29/89.54 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 89.29/89.54 Found a10:=(a1 W):((rel_s5 W) W)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (x3 (a1 W)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 93.61/93.79 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 93.61/93.79 Found a10:=(a1 W):((rel_s5 W) W)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (x3 (a1 W)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mnot (f X)) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mnot (f X)) V))
% 93.61/93.79 Found a10:=(a1 W):((rel_s5 W) W)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (x3 (a1 W)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 93.61/93.79 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 93.61/93.79 Found a10:=(a1 S):((rel_s5 S) S)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (x3 (a1 S)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 93.61/93.79 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 93.61/93.79 Found a10:=(a1 S):((rel_s5 S) S)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (x3 (a1 S)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 93.61/93.79 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 93.61/93.79 Found a10:=(a1 S):((rel_s5 S) S)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (a1 S) as proof of ((rel_s5 S) V0)
% 93.61/93.79 Found (x4 (a1 S)) as proof of False
% 93.61/93.79 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 93.61/93.79 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 93.61/93.79 Found a10:=(a1 W):((rel_s5 W) W)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (x3 (a1 W)) as proof of False
% 93.61/93.79 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 93.61/93.79 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 93.61/93.79 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 93.61/93.79 Found a10:=(a1 W):((rel_s5 W) W)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 93.61/93.79 Found (x3 (a1 W)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 W))) as proof of False
% 109.23/109.44 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 W) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x4 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (a1 S) as proof of ((rel_s5 S) V0)
% 109.23/109.44 Found (x3 (a1 S)) as proof of False
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 109.23/109.44 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 109.23/109.44 Found a10:=(a1 S):((rel_s5 S) S)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (x3 (a1 S)) as proof of False
% 123.21/123.42 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 123.21/123.42 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 S):((rel_s5 S) S)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (a1 S) as proof of ((rel_s5 S) V0)
% 123.21/123.42 Found (x3 (a1 S)) as proof of False
% 123.21/123.42 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 123.21/123.42 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x6 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x5 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 123.21/123.42 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 123.21/123.42 Found a10:=(a1 W):((rel_s5 W) W)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (a1 W) as proof of ((rel_s5 W) V1)
% 123.21/123.42 Found (x5 (a1 W)) as proof of False
% 123.21/123.42 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 123.21/123.42 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mnot (f X)) V0)
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V0))
% 133.11/133.37 Found a10:=(a1 S):((rel_s5 S) S)
% 133.11/133.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 133.11/133.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 133.11/133.37 Found (a1 S) as proof of ((rel_s5 S) V0)
% 133.11/133.37 Found (x3 (a1 S)) as proof of False
% 133.11/133.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 133.11/133.37 Found (fun (x3:(((rel_s5 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x6 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x5 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mnot (f X)) V0)
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V0))
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x5 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mnot (f X)) V0)
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V0))
% 133.11/133.37 Found a10:=(a1 W):((rel_s5 W) W)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (a1 W) as proof of ((rel_s5 W) V1)
% 133.11/133.37 Found (x5 (a1 W)) as proof of False
% 133.11/133.37 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 133.11/133.37 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x5 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x5 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x5 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x5 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x6 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x6 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x5 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 143.01/143.21 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (x6 (a1 W)) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 143.01/143.21 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 143.01/143.21 Found a10:=(a1 W):((rel_s5 W) W)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 143.01/143.21 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x6 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x6 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mnot (f X)) V0)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V0))
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 147.54/147.80 Found a10:=(a1 W):((rel_s5 W) W)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (a1 W) as proof of ((rel_s5 W) V1)
% 147.54/147.80 Found (x5 (a1 W)) as proof of False
% 147.54/147.80 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 147.54/147.80 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 147.54/147.80 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 156.62/156.88 Found a10:=(a1 S):((rel_s5 S) S)
% 156.62/156.88 Found (a1 S) as proof of ((rel_s5 S) V)
% 156.62/156.88 Found (a1 S) as proof of ((rel_s5 S) V)
% 156.62/156.88 Found (a1 S) as proof of ((rel_s5 S) V)
% 156.62/156.88 Found (x1 (a1 S)) as proof of False
% 156.62/156.88 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of False
% 156.62/156.88 Found (fun (x1:(((rel_s5 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s5 S) V)->False)->False)
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x6 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x6 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 156.62/156.88 Found a10:=(a1 W):((rel_s5 W) W)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (a1 W) as proof of ((rel_s5 W) V1)
% 156.62/156.88 Found (x5 (a1 W)) as proof of False
% 156.62/156.88 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 156.62/156.88 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 156.62/156.88 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 166.30/166.53 Found a10:=(a1 W):((rel_s5 W) W)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (a1 W) as proof of ((rel_s5 W) V1)
% 166.30/166.53 Found (x5 (a1 W)) as proof of False
% 166.30/166.53 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 166.30/166.53 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 166.30/166.53 Found (fun (x5:(((rel_s5 W) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 166.30/166.53 Found a10:=(a1 S):((rel_s5 S) S)
% 166.30/166.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.30/166.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.30/166.53 Found (a1 S) as proof of ((rel_s5 S) V0)
% 166.30/166.53 Found (x4 (a1 S)) as proof of False
% 166.30/166.53 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 166.30/166.53 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x4 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (x5 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x4 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x4 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x4 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x3 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 177.60/177.81 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x4 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (x5 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V1)
% 177.60/177.81 Found (x5 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 177.60/177.81 Found a10:=(a1 S):((rel_s5 S) S)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (a1 S) as proof of ((rel_s5 S) V0)
% 177.60/177.81 Found (x3 (a1 S)) as proof of False
% 177.60/177.81 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 177.60/177.81 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 177.60/177.81 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 177.60/177.81 Found a10:=(a1 W):((rel_s5 W) W)
% 177.60/177.81 Found (a1 W) as proof of ((rel_s5 W) V1)
% 177.60/177.81 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (x5 (a1 W)) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (x3 (a1 S)) as proof of False
% 191.19/191.41 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V1)
% 191.19/191.41 Found (x5 (a1 S)) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (x3 (a1 S)) as proof of False
% 191.19/191.41 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (x3 (a1 S)) as proof of False
% 191.19/191.41 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 191.19/191.41 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 191.19/191.41 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 191.19/191.41 Found a10:=(a1 W):((rel_s5 W) W)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (x5 (a1 W)) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 W):((rel_s5 W) W)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (x5 (a1 W)) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 191.19/191.41 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (a1 S) as proof of ((rel_s5 S) V0)
% 191.19/191.41 Found (x4 (a1 S)) as proof of False
% 191.19/191.41 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 191.19/191.41 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 191.19/191.41 Found a10:=(a1 W):((rel_s5 W) W)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (x7 (a1 W)) as proof of False
% 191.19/191.41 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 191.19/191.41 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 W):((rel_s5 W) W)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (a1 W) as proof of ((rel_s5 W) V1)
% 191.19/191.41 Found (x7 (a1 W)) as proof of False
% 191.19/191.41 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 191.19/191.41 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.19/191.41 Found a10:=(a1 S):((rel_s5 S) S)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (x3 (a1 S)) as proof of False
% 197.02/197.26 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 197.02/197.26 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 197.02/197.26 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 197.02/197.26 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x5 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 S):((rel_s5 S) S)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (x4 (a1 S)) as proof of False
% 197.02/197.26 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of False
% 197.02/197.26 Found (fun (x4:(((rel_s5 S) V0)->False))=> (x4 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->False)
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x7 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 S):((rel_s5 S) S)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (a1 S) as proof of ((rel_s5 S) V0)
% 197.02/197.26 Found (x3 (a1 S)) as proof of False
% 197.02/197.26 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 197.02/197.26 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 197.02/197.26 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x7 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x7 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x7 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x7 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 197.02/197.26 Found a10:=(a1 W):((rel_s5 W) W)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (a1 W) as proof of ((rel_s5 W) V1)
% 197.02/197.26 Found (x6 (a1 W)) as proof of False
% 197.02/197.26 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 197.02/197.26 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V)
% 197.02/197.26 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V))
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x6 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x7 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x7 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 202.67/202.93 Found a10:=(a1 S):((rel_s5 S) S)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (x3 (a1 S)) as proof of False
% 202.67/202.93 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 202.67/202.93 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mnot (f X)) V)
% 202.67/202.93 Found (fun (x3:(((rel_s5 S) V0)->False)) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mnot (f X)) V))
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x7 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x7 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 202.67/202.93 Found a10:=(a1 S):((rel_s5 S) S)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (a1 S) as proof of ((rel_s5 S) V0)
% 202.67/202.93 Found (x3 (a1 S)) as proof of False
% 202.67/202.93 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 202.67/202.93 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 202.67/202.93 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 202.67/202.93 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x6 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V)
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V))
% 202.67/202.93 Found a10:=(a1 W):((rel_s5 W) W)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (a1 W) as proof of ((rel_s5 W) V1)
% 202.67/202.93 Found (x6 (a1 W)) as proof of False
% 202.67/202.93 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V)
% 202.67/202.93 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x6 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x6 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x6 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x6 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x6 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 207.31/207.54 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x7 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x7 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x7 (a1 W)) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 207.31/207.54 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 207.31/207.54 Found a10:=(a1 W):((rel_s5 W) W)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (a1 W) as proof of ((rel_s5 W) V1)
% 207.31/207.54 Found (x7 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 210.14/210.43 Found a10:=(a1 S):((rel_s5 S) S)
% 210.14/210.43 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.14/210.43 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.14/210.43 Found (a1 S) as proof of ((rel_s5 S) V0)
% 210.14/210.43 Found (x3 (a1 S)) as proof of False
% 210.14/210.43 Found (fun (x4:((f X) V))=> (x3 (a1 S))) as proof of False
% 210.14/210.43 Found (fun (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 210.14/210.43 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 210.14/210.43 Found (fun (x3:(((rel_s5 S) V0)->False)) (X:mu) (x4:((f X) V))=> (x3 (a1 S))) as proof of ((((rel_s5 S) V0)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 210.14/210.43 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 210.14/210.43 Found a10:=(a1 W):((rel_s5 W) W)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (a1 W) as proof of ((rel_s5 W) V1)
% 210.14/210.43 Found (x6 (a1 W)) as proof of False
% 210.14/210.43 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 210.14/210.43 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x7 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x7 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (x7:(((rel_s5 W) V1)->False))=> (x7 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 215.51/215.77 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 215.51/215.77 Found a10:=(a1 W):((rel_s5 W) W)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 215.51/215.77 Found (x6 (a1 W)) as proof of False
% 215.51/215.77 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 222.21/222.51 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 222.21/222.51 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 222.21/222.51 Found a10:=(a1 W):((rel_s5 W) W)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (a1 W) as proof of ((rel_s5 W) V1)
% 222.21/222.51 Found (x6 (a1 W)) as proof of False
% 222.21/222.51 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 232.69/232.94 Found a10:=(a1 W):((rel_s5 W) W)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (x6 (a1 W)) as proof of False
% 232.69/232.94 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 232.69/232.94 Found a10:=(a1 W):((rel_s5 W) W)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (x6 (a1 W)) as proof of False
% 232.69/232.94 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mnot (f X0)) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X0)) V0))
% 232.69/232.94 Found a10:=(a1 W):((rel_s5 W) W)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (x6 (a1 W)) as proof of False
% 232.69/232.94 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 232.69/232.94 Found a10:=(a1 W):((rel_s5 W) W)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (x6 (a1 W)) as proof of False
% 232.69/232.94 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 232.69/232.94 Found a10:=(a1 W):((rel_s5 W) W)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (a1 W) as proof of ((rel_s5 W) V1)
% 232.69/232.94 Found (x6 (a1 W)) as proof of False
% 232.69/232.94 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 232.69/232.94 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 232.69/232.94 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 232.69/232.94 Found a10:=(a1 S):((rel_s5 S) S)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (x6 (a1 S)) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 232.69/232.94 Found a10:=(a1 S):((rel_s5 S) S)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (a1 S) as proof of ((rel_s5 S) V1)
% 232.69/232.94 Found (x6 (a1 S)) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 232.69/232.94 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 W):((rel_s5 W) W)
% 251.61/251.90 Found (a1 W) as proof of ((rel_s5 W) V1)
% 251.61/251.90 Found (a1 W) as proof of ((rel_s5 W) V1)
% 251.61/251.90 Found (a1 W) as proof of ((rel_s5 W) V1)
% 251.61/251.90 Found (x6 (a1 W)) as proof of False
% 251.61/251.90 Found (fun (x7:((f X0) V0))=> (x6 (a1 W))) as proof of False
% 251.61/251.90 Found (fun (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of (((fun (X:mu)=> (mnot (f X))) X0) V0)
% 251.61/251.90 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 251.61/251.90 Found (fun (x6:(((rel_s5 W) V1)->False)) (X0:mu) (x7:((f X0) V0))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x5 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mnot (f X)) V0)
% 251.61/251.90 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V0))
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x5 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 251.61/251.90 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 251.61/251.90 Found a10:=(a1 S):((rel_s5 S) S)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (a1 S) as proof of ((rel_s5 S) V1)
% 251.61/251.90 Found (x6 (a1 S)) as proof of False
% 251.61/251.90 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x6 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x6 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 W):((rel_s5 W) W)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (x6 (a1 W)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 W):((rel_s5 W) W)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (a1 W) as proof of ((rel_s5 W) V1)
% 258.91/259.23 Found (x6 (a1 W)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x6 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x6 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x5 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mnot (f X)) V0)
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V0))
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x5 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x5 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mnot (f X)) V0)
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V0))
% 258.91/259.23 Found a10:=(a1 S):((rel_s5 S) S)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (a1 S) as proof of ((rel_s5 S) V1)
% 258.91/259.23 Found (x5 (a1 S)) as proof of False
% 258.91/259.23 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 258.91/259.23 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x5 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x5 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x5 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x6 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x6 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x5 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 271.08/271.38 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x6 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (x6 (a1 S)) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 271.08/271.38 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 271.08/271.38 Found a10:=(a1 S):((rel_s5 S) S)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 271.08/271.38 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (x6 (a1 S)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x6 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x6 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x6 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x6 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x6 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 277.89/278.18 Found a10:=(a1 S):((rel_s5 S) S)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (x5 (a1 S)) as proof of False
% 277.89/278.18 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 277.89/278.18 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mnot (f X)) V0)
% 277.89/278.18 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V0))
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x5 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:((f X) V))=> (x5 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((mnot (f X)) V)
% 277.89/278.18 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V))
% 277.89/278.18 Found a10:=(a1 S):((rel_s5 S) S)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (x5 (a1 S)) as proof of False
% 277.89/278.18 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 277.89/278.18 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 277.89/278.18 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 277.89/278.18 Found a10:=(a1 W):((rel_s5 W) W)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (a1 W) as proof of ((rel_s5 W) V1)
% 277.89/278.18 Found (x5 (a1 W)) as proof of False
% 277.89/278.18 Found (fun (x6:((f X) V0))=> (x5 (a1 W))) as proof of False
% 277.89/278.18 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((mnot (f X)) V0)
% 277.89/278.18 Found (fun (x5:(((rel_s5 W) V1)->False)) (x6:((f X) V0))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot (f X)) V0))
% 277.89/278.18 Found a10:=(a1 S):((rel_s5 S) S)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 277.89/278.18 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V0))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V0)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V0))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V0))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 286.30/286.61 Found a10:=(a1 S):((rel_s5 S) S)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (a1 S) as proof of ((rel_s5 S) V1)
% 286.30/286.61 Found (x5 (a1 S)) as proof of False
% 286.30/286.61 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 286.30/286.61 Found (fun (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of (((fun (X:mu)=> (mnot (f X))) X) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mforall_ind (fun (X:mu)=> (mnot (f X)))) V)
% 286.30/286.61 Found (fun (x5:(((rel_s5 S) V1)->False)) (X:mu) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mforall_ind (fun (X:mu)=> (mnot (f X)))) V))
% 286.30/286.61 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 S):((rel_s5 S) S)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (x6 (a1 S)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 S):((rel_s5 S) S)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (x5 (a1 S)) as proof of False
% 295.84/296.14 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 295.84/296.14 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 295.84/296.14 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 295.84/296.14 Found a10:=(a1 S):((rel_s5 S) S)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (x5 (a1 S)) as proof of False
% 295.84/296.14 Found (fun (x6:((f X) V))=> (x5 (a1 S))) as proof of False
% 295.84/296.14 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((mnot (f X)) V)
% 295.84/296.14 Found (fun (x5:(((rel_s5 S) V1)->False)) (x6:((f X) V))=> (x5 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->((mnot (f X)) V))
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 S):((rel_s5 S) S)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (a1 S) as proof of ((rel_s5 S) V1)
% 295.84/296.14 Found (x6 (a1 S)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 S) V1)->False))=> (x6 (a1 S))) as proof of ((((rel_s5 S) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x6 (a1 W)) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of False
% 295.84/296.14 Found (fun (x6:(((rel_s5 W) V1)->False))=> (x6 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 295.84/296.14 Found a10:=(a1 W):((rel_s5 W) W)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (a1 W) as proof of ((rel_s5 W) V1)
% 295.84/296.14 Found (x5 (a1 W)) as proof of False
% 295.84/296.14 Found
%------------------------------------------------------------------------------