TSTP Solution File: SYO435^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO435^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:26 EDT 2022
% Result : Timeout 288.27s 288.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYO435^1 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Mar 12 16:51:27 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 0.41/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.41/0.60 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92dd0>, <kernel.Type object at 0x2b1837b92cf8>) of role type named mu_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mu:Type
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92ea8>, <kernel.DependentProduct object at 0x2b1837b92dd0>) of role type named meq_ind_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.41/0.60 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
% 0.41/0.60 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.41/0.60 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92dd0>, <kernel.DependentProduct object at 0x2b1837b92d88>) of role type named meq_prop_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.60 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
% 0.41/0.60 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))))
% 0.41/0.60 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92e18>, <kernel.DependentProduct object at 0x2b1837b92ea8>) of role type named mnot_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.60 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.41/0.60 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92ea8>, <kernel.DependentProduct object at 0x2b1837b92560>) of role type named mor_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.60 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
% 0.41/0.60 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))))
% 0.41/0.60 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92560>, <kernel.DependentProduct object at 0x2b1837b92878>) of role type named mand_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.60 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
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.41/0.60 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.41/0.60 FOF formula (<kernel.Constant object at 0x2b1837b92878>, <kernel.DependentProduct object at 0x2b1837b925f0>) of role type named mimplies_type
% 0.41/0.60 Using role type
% 0.41/0.60 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.60 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
% 0.41/0.60 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.41/0.61 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2b1837b925f0>, <kernel.DependentProduct object at 0x2b1837b92a28>) of role type named mimplied_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.41/0.61 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2b1837b92a28>, <kernel.DependentProduct object at 0x2b1837b92ea8>) of role type named mequiv_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2b1837b92ea8>, <kernel.DependentProduct object at 0x2b1837b92560>) of role type named mxor_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.41/0.61 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2b1837b92dd0>, <kernel.DependentProduct object at 0x2b1837b92a28>) of role type named mforall_ind_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.41/0.61 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2b1837b92a28>, <kernel.DependentProduct object at 0x2b1837b92248>) of role type named mforall_prop_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x14c1950>, <kernel.DependentProduct object at 0x2b1837b92878>) of role type named mexists_ind_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.41/0.61 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
% 0.41/0.62 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)))))))
% 0.41/0.62 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b92878>, <kernel.DependentProduct object at 0x2b1837b92440>) of role type named mexists_prop_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.41/0.62 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
% 0.41/0.62 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)))))))
% 0.41/0.62 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b92440>, <kernel.DependentProduct object at 0x2b1837b92200>) of role type named mtrue_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mtrue:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.41/0.62 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b92200>, <kernel.DependentProduct object at 0x2b1837b92050>) of role type named mfalse_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mfalse:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.41/0.62 Defined: mfalse:=(mnot mtrue)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b92878>, <kernel.DependentProduct object at 0x2b1837b921b8>) of role type named mbox_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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)))))
% 0.41/0.62 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b921b8>, <kernel.DependentProduct object at 0x2b1837b925a8>) of role type named mdia_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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)))))
% 0.41/0.62 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b1837b92098>, <kernel.DependentProduct object at 0x2b1837b923f8>) of role type named mreflexive_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.41/0.62 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.41/0.62 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.41/0.62 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b1837b923f8>, <kernel.DependentProduct object at 0x2b1837b924d0>) of role type named msymmetric_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.47/0.63 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x14dec68>, <kernel.DependentProduct object at 0x2b1837b921b8>) of role type named mserial_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.47/0.63 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x14dec68>, <kernel.DependentProduct object at 0x2b1837b92ea8>) of role type named mtransitive_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.47/0.63 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x14dec68>, <kernel.DependentProduct object at 0x14e7998>) of role type named meuclidean_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.47/0.63 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x14e77a0>, <kernel.DependentProduct object at 0x14e7998>) of role type named mpartially_functional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.47/0.63 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x14e7830>, <kernel.DependentProduct object at 0x14e7998>) of role type named mfunctional_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.47/0.64 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x14e7b90>, <kernel.DependentProduct object at 0x2b1837b925f0>) of role type named mweakly_dense_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.47/0.64 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x14e77a0>, <kernel.DependentProduct object at 0x2b1837b92cf8>) of role type named mweakly_connected_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.47/0.64 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x14e77a0>, <kernel.DependentProduct object at 0x2b1837b923f8>) of role type named mweakly_directed_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.47/0.64 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b1837b923f8>, <kernel.DependentProduct object at 0x2b1837b92cf8>) of role type named mvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.64 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b1837b924d0>, <kernel.DependentProduct object at 0x2b1837b90200>) of role type named minvalid_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring minvalid:((fofType->Prop)->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.49/0.65 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b1837b92200>, <kernel.DependentProduct object at 0x2b1837b905f0>) of role type named msatisfiable_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.49/0.65 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b1837b925f0>, <kernel.DependentProduct object at 0x2b1837b905f0>) of role type named mcountersatisfiable_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.49/0.65 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.49/0.65 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b183f667098>, <kernel.DependentProduct object at 0x14e7bd8>) of role type named rel_s4_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring rel_s4:(fofType->(fofType->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x14ded88>, <kernel.DependentProduct object at 0x14e7878>) of role type named mbox_s4_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))) of role definition named mbox_s4
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))))
% 0.49/0.65 Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x14dee18>, <kernel.DependentProduct object at 0x14e7bd8>) of role type named mdia_s4_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.49/0.65 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.49/0.65 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.49/0.65 Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.49/0.65 FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.49/0.65 A new axiom: (mreflexive rel_s4)
% 0.49/0.65 FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.49/0.65 A new axiom: (mtransitive rel_s4)
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x14e4ea8>, <kernel.DependentProduct object at 0x14e4488>) of role type named p_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring p:(fofType->Prop)
% 0.49/0.65 FOF formula (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p)))))) of role conjecture named prove
% 0.49/0.65 Conjecture to prove = (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p)))))):Prop
% 0.49/0.65 Parameter mu_DUMMY:mu.
% 0.49/0.65 Parameter fofType_DUMMY:fofType.
% 0.49/0.65 We need to prove ['(mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))))']
% 0.49/0.65 Parameter mu:Type.
% 0.49/0.65 Parameter fofType:Type.
% 0.49/0.65 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.49/0.65 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.49/0.65 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.65 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)).
% 0.49/0.65 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.49/0.65 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.49/0.65 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))).
% 0.49/0.65 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.65 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 0.49/0.65 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).
% 3.49/3.67 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 3.49/3.67 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 3.49/3.67 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 3.49/3.67 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 3.49/3.67 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 3.49/3.67 Parameter rel_s4:(fofType->(fofType->Prop)).
% 3.49/3.67 Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 3.49/3.67 Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 3.49/3.67 Axiom a1:(mreflexive rel_s4).
% 3.49/3.67 Axiom a2:(mtransitive rel_s4).
% 3.49/3.67 Parameter p:(fofType->Prop).
% 3.49/3.67 Trying to prove (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))))
% 3.49/3.67 Found a10:=(a1 W):((rel_s4 W) W)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (x1 (a1 W)) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.49/3.67 Found a10:=(a1 W):((rel_s4 W) W)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.49/3.67 Found (x1 (a1 W)) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.49/3.67 Found a10:=(a1 S):((rel_s4 S) S)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (x1 (a1 S)) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.49/3.67 Found a10:=(a1 S):((rel_s4 S) S)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.49/3.67 Found (x1 (a1 S)) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.49/3.67 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.49/3.67 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 3.49/3.67 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 3.49/3.67 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 3.49/3.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found a10:=(a1 W):((rel_s4 W) W)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (x3 (a1 W)) as proof of False
% 8.59/8.76 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.59/8.76 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 8.59/8.76 Found a10:=(a1 W):((rel_s4 W) W)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (x3 (a1 W)) as proof of False
% 8.59/8.76 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.59/8.76 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 8.59/8.76 Found a10:=(a1 W):((rel_s4 W) W)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (x1 (a1 W)) as proof of False
% 8.59/8.76 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.59/8.76 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.59/8.76 Found a10:=(a1 W):((rel_s4 W) W)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.59/8.76 Found (x1 (a1 W)) as proof of False
% 8.59/8.76 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.59/8.76 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.59/8.76 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 8.59/8.76 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 8.59/8.76 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 8.59/8.76 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 8.59/8.76 Found a10:=(a1 W):((rel_s4 W) W)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.59/8.76 Found (x3 (a1 W)) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 15.19/15.41 Found a10:=(a1 W):((rel_s4 W) W)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 15.19/15.41 Found (x3 (a1 W)) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 15.19/15.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 15.19/15.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.19/15.41 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.19/15.41 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.19/15.41 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.19/15.41 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.19/15.41 Found a10:=(a1 S):((rel_s4 S) S)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (x3 (a1 S)) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.19/15.41 Found a10:=(a1 S):((rel_s4 S) S)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.19/15.41 Found (x3 (a1 S)) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.19/15.41 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.19/15.41 Found a10:=(a1 W):((rel_s4 W) W)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (x1 (a1 W)) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 15.19/15.41 Found a10:=(a1 W):((rel_s4 W) W)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (a1 W) as proof of ((rel_s4 W) V)
% 15.19/15.41 Found (x1 (a1 W)) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 15.19/15.41 Found a10:=(a1 S):((rel_s4 S) S)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (x1 (a1 S)) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 15.19/15.41 Found a10:=(a1 S):((rel_s4 S) S)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (a1 S) as proof of ((rel_s4 S) V)
% 15.19/15.41 Found (x1 (a1 S)) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 15.19/15.41 Found a10:=(a1 V):((rel_s4 V) V)
% 15.19/15.41 Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.19/15.41 Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.19/15.41 Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.19/15.41 Found (x1 (a1 V)) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.19/15.41 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.19/15.41 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 15.19/15.41 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 19.70/19.86 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 19.70/19.86 Found a10:=(a1 S):((rel_s4 S) S)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (x3 (a1 S)) as proof of False
% 19.70/19.86 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 19.70/19.86 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 19.70/19.86 Found a10:=(a1 S):((rel_s4 S) S)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V0)
% 19.70/19.86 Found (x3 (a1 S)) as proof of False
% 19.70/19.86 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 19.70/19.86 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 19.70/19.86 Found a10:=(a1 W):((rel_s4 W) W)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found a10:=(a1 W):((rel_s4 W) W)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found a10:=(a1 S):((rel_s4 S) S)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (x1 (a1 S)) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 19.70/19.86 Found a10:=(a1 W):((rel_s4 W) W)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found a10:=(a1 S):((rel_s4 S) S)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (a1 S) as proof of ((rel_s4 S) V)
% 19.70/19.86 Found (x1 (a1 S)) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 19.70/19.86 Found a10:=(a1 W):((rel_s4 W) W)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 19.70/19.86 Found a10:=(a1 V):((rel_s4 V) V)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (x1 (a1 V)) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.70/19.86 Found a10:=(a1 V):((rel_s4 V) V)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.70/19.86 Found (x1 (a1 V)) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.70/19.86 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 25.84/26.03 Found a10:=(a1 V):((rel_s4 V) V)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (x1 (a1 V)) as proof of False
% 25.84/26.03 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 25.84/26.03 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 25.84/26.03 Found a10:=(a1 W):((rel_s4 W) W)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found a10:=(a1 W):((rel_s4 W) W)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found a10:=(a1 S):((rel_s4 S) S)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found a10:=(a1 S):((rel_s4 S) S)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found a10:=(a1 W):((rel_s4 W) W)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found a10:=(a1 W):((rel_s4 W) W)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found (a1 W) as proof of ((rel_s4 W) V0)
% 25.84/26.03 Found a10:=(a1 V):((rel_s4 V) V)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (a1 V) as proof of ((rel_s4 V) V0)
% 25.84/26.03 Found (x1 (a1 V)) as proof of False
% 25.84/26.03 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 25.84/26.03 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 25.84/26.03 Found a10:=(a1 S):((rel_s4 S) S)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found a10:=(a1 S):((rel_s4 S) S)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 25.84/26.03 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 25.84/26.03 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 25.84/26.03 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 25.84/26.03 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 25.84/26.03 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 29.25/29.45 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found a10:=(a1 V):((rel_s4 V) V)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (x1 (a1 V)) as proof of False
% 29.25/29.45 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.25/29.45 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.25/29.45 Found a10:=(a1 V):((rel_s4 V) V)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.25/29.45 Found (x1 (a1 V)) as proof of False
% 29.25/29.45 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 29.25/29.45 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.25/29.45 Found a10:=(a1 W):((rel_s4 W) W)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (x3 (a1 W)) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 29.25/29.45 Found a10:=(a1 W):((rel_s4 W) W)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (x3 (a1 W)) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 29.25/29.45 Found a10:=(a1 W):((rel_s4 W) W)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (x3 (a1 W)) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 29.25/29.45 Found a10:=(a1 W):((rel_s4 W) W)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.25/29.45 Found (x3 (a1 W)) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 29.25/29.45 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 29.25/29.45 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 29.25/29.45 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 29.25/29.45 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 29.25/29.45 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found a10:=(a1 W):((rel_s4 W) W)
% 43.19/43.36 Found (a1 W) as proof of ((rel_s4 W) V)
% 43.19/43.36 Found (a1 W) as proof of ((rel_s4 W) V)
% 43.19/43.36 Found (a1 W) as proof of ((rel_s4 W) V)
% 43.19/43.36 Found (x1 (a1 W)) as proof of False
% 43.19/43.36 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 43.19/43.36 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 43.19/43.36 Found a10:=(a1 S):((rel_s4 S) S)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found a10:=(a1 S):((rel_s4 S) S)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found a10:=(a1 S):((rel_s4 S) S)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 43.19/43.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 43.19/43.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found a10:=(a1 S):((rel_s4 S) S)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.19/43.36 Found a10:=(a1 V):((rel_s4 V) V)
% 43.19/43.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.19/43.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.19/43.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.19/43.36 Found (x1 (a1 V)) as proof of False
% 43.19/43.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 43.19/43.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 43.19/43.36 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 43.19/43.36 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.19/43.36 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 43.19/43.36 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 46.42/46.63 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 46.42/46.63 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 46.42/46.63 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 46.42/46.63 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 46.42/46.63 Found a10:=(a1 W):((rel_s4 W) W)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (x3 (a1 W)) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 46.42/46.63 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 46.42/46.63 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found a10:=(a1 W):((rel_s4 W) W)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (x3 (a1 W)) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 46.42/46.63 Found a10:=(a1 W):((rel_s4 W) W)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (x3 (a1 W)) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 46.42/46.63 Found a10:=(a1 W):((rel_s4 W) W)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 46.42/46.63 Found (x3 (a1 W)) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 46.42/46.63 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 46.42/46.63 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 46.42/46.63 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 46.42/46.63 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 50.35/50.56 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found a10:=(a1 S):((rel_s4 S) S)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (x3 (a1 S)) as proof of False
% 50.35/50.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 50.35/50.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 50.35/50.56 Found a10:=(a1 W):((rel_s4 W) W)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 50.35/50.56 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 50.35/50.56 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 50.35/50.56 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 50.35/50.56 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 50.35/50.56 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 50.35/50.56 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 50.35/50.56 Found a10:=(a1 S):((rel_s4 S) S)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 50.35/50.56 Found (x3 (a1 S)) as proof of False
% 50.35/50.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 50.35/50.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 50.35/50.56 Found a10:=(a1 W):((rel_s4 W) W)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 50.35/50.56 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 50.35/50.56 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 50.35/50.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 55.98/56.18 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found a10:=(a1 S):((rel_s4 S) S)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (x3 (a1 S)) as proof of False
% 55.98/56.18 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.98/56.18 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.98/56.18 Found a10:=(a1 W):((rel_s4 W) W)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V)
% 55.98/56.18 Found (x1 (a1 W)) as proof of False
% 55.98/56.18 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 55.98/56.18 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 55.98/56.18 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 55.98/56.18 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found a10:=(a1 W):((rel_s4 W) W)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V0)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V0)
% 55.98/56.18 Found (a1 W) as proof of ((rel_s4 W) V0)
% 55.98/56.18 Found a10:=(a1 S):((rel_s4 S) S)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.98/56.18 Found (x3 (a1 S)) as proof of False
% 55.98/56.18 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.98/56.18 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.98/56.18 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 55.98/56.18 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 55.98/56.18 Found x3:(((rel_s4 W) V0)->False)
% 55.98/56.18 Instantiate: V0:=V00:fofType;V:=W:fofType
% 55.98/56.18 Found x3 as proof of (((rel_s4 V) V00)->False)
% 55.98/56.18 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 55.98/56.18 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 61.67/61.88 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 61.67/61.88 Found a10:=(a1 W):((rel_s4 W) W)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 61.67/61.88 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 61.67/61.88 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found or_introl00:=(or_introl0 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 61.67/61.88 Found (or_introl0 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 61.67/61.88 Found x3:(((rel_s4 W) V0)->False)
% 61.67/61.88 Instantiate: V0:=V00:fofType
% 61.67/61.88 Found x3 as proof of (((rel_s4 V) V00)->False)
% 61.67/61.88 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 61.67/61.88 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 61.67/61.88 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 61.67/61.88 Found a10:=(a1 W):((rel_s4 W) W)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found (a1 W) as proof of ((rel_s4 W) V0)
% 61.67/61.88 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 61.67/61.88 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 61.67/61.88 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 61.67/61.88 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 61.67/61.88 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found x2:((rel_s4 V) V0)
% 65.77/65.98 Instantiate: V1:=V0:fofType;V:=W:fofType
% 65.77/65.98 Found x2 as proof of ((rel_s4 W) V1)
% 65.77/65.98 Found (x4 x2) as proof of False
% 65.77/65.98 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 65.77/65.98 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 65.77/65.98 Found a10:=(a1 W):((rel_s4 W) W)
% 65.77/65.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 65.77/65.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 65.77/65.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 65.77/65.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 65.77/65.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 65.77/65.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 65.77/65.98 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 65.77/65.98 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 65.77/65.98 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 65.77/65.98 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 65.77/65.98 Found or_introl00:=(or_introl0 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 65.77/65.98 Found (or_introl0 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 65.77/65.98 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 69.90/70.13 Found a10:=(a1 V):((rel_s4 V) V)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (x3 (a1 V)) as proof of False
% 69.90/70.13 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 69.90/70.13 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 69.90/70.13 Found x2:((rel_s4 V) V0)
% 69.90/70.13 Instantiate: V1:=V0:fofType
% 69.90/70.13 Found x2 as proof of ((rel_s4 W) V1)
% 69.90/70.13 Found (x4 x2) as proof of False
% 69.90/70.13 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 69.90/70.13 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 69.90/70.13 Found a10:=(a1 W):((rel_s4 W) W)
% 69.90/70.13 Found (a1 W) as proof of ((rel_s4 W) V1)
% 69.90/70.13 Found (a1 W) as proof of ((rel_s4 W) V1)
% 69.90/70.13 Found (a1 W) as proof of ((rel_s4 W) V1)
% 69.90/70.13 Found (x5 (a1 W)) as proof of False
% 69.90/70.13 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 69.90/70.13 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 69.90/70.13 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 69.90/70.13 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 69.90/70.13 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 69.90/70.13 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 69.90/70.13 Found a10:=(a1 V):((rel_s4 V) V)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (a1 V) as proof of ((rel_s4 V) V00)
% 69.90/70.13 Found (x3 (a1 V)) as proof of False
% 69.90/70.13 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 69.90/70.13 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 69.90/70.13 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 69.90/70.13 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 69.90/70.13 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 80.18/80.36 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x5 (a1 W)) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x5 (a1 W)) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 80.18/80.36 Found a10:=(a1 S):((rel_s4 S) S)
% 80.18/80.36 Found (a1 S) as proof of ((rel_s4 S) V)
% 80.18/80.36 Found (a1 S) as proof of ((rel_s4 S) V)
% 80.18/80.36 Found (a1 S) as proof of ((rel_s4 S) V)
% 80.18/80.36 Found (x1 (a1 S)) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 80.18/80.36 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 80.18/80.36 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 80.18/80.36 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 80.18/80.36 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 80.18/80.36 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 80.18/80.36 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x5 (a1 W)) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 80.18/80.36 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x4 (a1 W)) as proof of False
% 80.18/80.36 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 80.18/80.36 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 80.18/80.36 Found a10:=(a1 V):((rel_s4 V) V)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (x1 (a1 V)) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x4 (a1 W)) as proof of False
% 80.18/80.36 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 80.18/80.36 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 80.18/80.36 Found a10:=(a1 V):((rel_s4 V) V)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.18/80.36 Found (x1 (a1 V)) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 80.18/80.36 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.18/80.36 Found a10:=(a1 W):((rel_s4 W) W)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.18/80.36 Found (x3 (a1 W)) as proof of False
% 95.82/96.02 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 95.82/96.02 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 95.82/96.02 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 95.82/96.02 Found a10:=(a1 W):((rel_s4 W) W)
% 95.82/96.02 Found (a1 W) as proof of ((rel_s4 W) V1)
% 95.82/96.02 Found (a1 W) as proof of ((rel_s4 W) V1)
% 95.82/96.02 Found (a1 W) as proof of ((rel_s4 W) V1)
% 95.82/96.02 Found (x3 (a1 W)) as proof of False
% 95.82/96.02 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 95.82/96.02 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 95.82/96.02 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 95.82/96.02 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 95.82/96.02 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 95.82/96.02 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 95.82/96.02 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 95.82/96.02 Found a10:=(a1 S):((rel_s4 S) S)
% 95.82/96.02 Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.82/96.02 Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.82/96.02 Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.82/96.02 Found (x3 (a1 S)) as proof of False
% 95.82/96.02 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 95.82/96.02 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 95.82/96.02 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 95.82/96.02 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 95.82/96.02 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 95.82/96.02 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found a10:=(a1 W):((rel_s4 W) W)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found a10:=(a1 S):((rel_s4 S) S)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found (x3 (a1 S)) as proof of False
% 104.74/104.96 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 104.74/104.96 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 104.74/104.96 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 104.74/104.96 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 104.74/104.96 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 104.74/104.96 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 104.74/104.96 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 104.74/104.96 Found a10:=(a1 S):((rel_s4 S) S)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 104.74/104.96 Found a10:=(a1 W):((rel_s4 W) W)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found a10:=(a1 W):((rel_s4 W) W)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found a10:=(a1 W):((rel_s4 W) W)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found (a1 W) as proof of ((rel_s4 W) V0)
% 104.74/104.96 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 106.96/107.21 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found a10:=(a1 S):((rel_s4 S) S)
% 106.96/107.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 106.96/107.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 106.96/107.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 106.96/107.21 Found (x3 (a1 S)) as proof of False
% 106.96/107.21 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 106.96/107.21 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 106.96/107.21 Found a10:=(a1 W):((rel_s4 W) W)
% 106.96/107.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 106.96/107.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 106.96/107.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 106.96/107.21 Found (x3 (a1 W)) as proof of False
% 106.96/107.21 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 106.96/107.21 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 106.96/107.21 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 106.96/107.21 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 106.96/107.21 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 106.96/107.21 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 106.96/107.21 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 106.96/107.21 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot p)) V)
% 106.96/107.21 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot p)) V))
% 106.96/107.21 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 106.96/107.21 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 106.96/107.21 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 106.96/107.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found a10:=(a1 S):((rel_s4 S) S)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found a10:=(a1 W):((rel_s4 W) W)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found a10:=(a1 W):((rel_s4 W) W)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found a10:=(a1 S):((rel_s4 S) S)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.52/117.74 Found (x3 (a1 S)) as proof of False
% 117.52/117.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 117.52/117.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 117.52/117.74 Found a10:=(a1 W):((rel_s4 W) W)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.52/117.74 Found (x3 (a1 W)) as proof of False
% 117.52/117.74 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 117.52/117.74 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 117.52/117.74 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 117.52/117.74 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 117.52/117.74 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 117.52/117.74 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 117.52/117.74 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 117.52/117.74 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot p)) V)
% 117.52/117.74 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot p)) V))
% 117.52/117.74 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 117.52/117.74 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 117.52/117.74 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 117.52/117.74 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 117.52/117.74 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 127.04/127.26 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 127.04/127.26 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 127.04/127.26 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 127.04/127.26 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 127.04/127.26 Found a10:=(a1 W):((rel_s4 W) W)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found x3:(((rel_s4 W) V0)->False)
% 127.04/127.26 Instantiate: V0:=V00:fofType;V:=W:fofType
% 127.04/127.26 Found x3 as proof of (((rel_s4 V) V00)->False)
% 127.04/127.26 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found a10:=(a1 S):((rel_s4 S) S)
% 127.04/127.26 Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.04/127.26 Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.04/127.26 Found (a1 S) as proof of ((rel_s4 S) V0)
% 127.04/127.26 Found x3:(((rel_s4 S) V0)->False)
% 127.04/127.26 Instantiate: V0:=V00:fofType;V:=S:fofType
% 127.04/127.26 Found x3 as proof of (((rel_s4 V) V00)->False)
% 127.04/127.26 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 127.04/127.26 Found x2:((rel_s4 V) V0)
% 127.04/127.26 Instantiate: V1:=V0:fofType;V:=W:fofType
% 127.04/127.26 Found x2 as proof of ((rel_s4 W) V1)
% 127.04/127.26 Found (x4 x2) as proof of False
% 127.04/127.26 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 127.04/127.26 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 127.04/127.26 Found a10:=(a1 W):((rel_s4 W) W)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found a10:=(a1 W):((rel_s4 W) W)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 127.04/127.26 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 127.04/127.26 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 127.04/127.26 Found a10:=(a1 W):((rel_s4 W) W)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.04/127.26 Found a10:=(a1 S):((rel_s4 S) S)
% 127.04/127.26 Found (a1 S) as proof of ((rel_s4 S) V)
% 127.04/127.26 Found (a1 S) as proof of ((rel_s4 S) V)
% 132.64/132.90 Found (a1 S) as proof of ((rel_s4 S) V)
% 132.64/132.90 Found (x1 (a1 S)) as proof of False
% 132.64/132.90 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 132.64/132.90 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 132.64/132.90 Found or_introl10:=(or_introl1 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found (or_introl1 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found x3:(((rel_s4 W) V0)->False)
% 132.64/132.90 Instantiate: V0:=V00:fofType
% 132.64/132.90 Found x3 as proof of (((rel_s4 V) V00)->False)
% 132.64/132.90 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found or_introl10:=(or_introl1 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found (or_introl1 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 132.64/132.90 Found a10:=(a1 W):((rel_s4 W) W)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found a10:=(a1 S):((rel_s4 S) S)
% 132.64/132.90 Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.64/132.90 Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.64/132.90 Found (a1 S) as proof of ((rel_s4 S) V0)
% 132.64/132.90 Found x3:(((rel_s4 S) V0)->False)
% 132.64/132.90 Instantiate: V0:=V00:fofType
% 132.64/132.90 Found x3 as proof of (((rel_s4 V) V00)->False)
% 132.64/132.90 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 132.64/132.90 Found x2:((rel_s4 V) V0)
% 132.64/132.90 Instantiate: V1:=V0:fofType
% 132.64/132.90 Found x2 as proof of ((rel_s4 W) V1)
% 132.64/132.90 Found (x4 x2) as proof of False
% 132.64/132.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 132.64/132.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.64/132.90 Found a10:=(a1 W):((rel_s4 W) W)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 132.64/132.90 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 132.64/132.90 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 132.64/132.90 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 132.64/132.90 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 132.64/132.90 Found a10:=(a1 W):((rel_s4 W) W)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 132.64/132.90 Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.44/141.70 Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.44/141.70 Found a10:=(a1 S):((rel_s4 S) S)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.44/141.70 Found a10:=(a1 W):((rel_s4 W) W)
% 141.44/141.70 Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.44/141.70 Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.44/141.70 Found (a1 W) as proof of ((rel_s4 W) V0)
% 141.44/141.70 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 141.44/141.70 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 141.44/141.70 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 141.44/141.70 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 141.44/141.70 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 141.44/141.70 Found x2:((rel_s4 V) V0)
% 141.44/141.70 Instantiate: V1:=V0:fofType;V:=S:fofType
% 141.44/141.70 Found x2 as proof of ((rel_s4 S) V1)
% 141.44/141.70 Found (x4 x2) as proof of False
% 141.44/141.70 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 141.44/141.70 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 141.44/141.70 Found x2:((rel_s4 V) V0)
% 141.44/141.70 Instantiate: V1:=V0:fofType;V:=W:fofType
% 141.44/141.70 Found x2 as proof of ((rel_s4 W) V1)
% 141.44/141.70 Found (x4 x2) as proof of False
% 141.44/141.70 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 141.44/141.70 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 141.44/141.70 Found or_introl00:=(or_introl0 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 141.44/141.70 Found (or_introl0 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 141.44/141.70 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 141.44/141.70 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 141.44/141.70 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 141.44/141.70 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 141.44/141.70 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 141.44/141.70 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 141.44/141.70 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 141.44/141.70 Found a10:=(a1 S):((rel_s4 S) S)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 141.44/141.70 Found (a1 S) as proof of ((rel_s4 S) V0)
% 144.69/144.93 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 144.69/144.93 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 144.69/144.93 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 144.69/144.93 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 144.69/144.93 Found a10:=(a1 V):((rel_s4 V) V)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (x3 (a1 V)) as proof of False
% 144.69/144.93 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 144.69/144.93 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 144.69/144.93 Found a10:=(a1 V):((rel_s4 V) V)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (x1 (a1 V)) as proof of False
% 144.69/144.93 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 144.69/144.93 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 144.69/144.93 Found a10:=(a1 V):((rel_s4 V) V)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V0)
% 144.69/144.93 Found (x1 (a1 V)) as proof of False
% 144.69/144.93 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 144.69/144.93 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 144.69/144.93 Found a10:=(a1 V):((rel_s4 V) V)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (a1 V) as proof of ((rel_s4 V) V00)
% 144.69/144.93 Found (x3 (a1 V)) as proof of False
% 144.69/144.93 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 144.69/144.93 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 144.69/144.93 Found or_introl10:=(or_introl1 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found (or_introl1 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 144.69/144.93 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 144.69/144.93 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 144.69/144.93 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 148.62/148.91 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 148.62/148.91 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 148.62/148.91 Found or_introl10:=(or_introl1 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found (or_introl1 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 148.62/148.91 Found x2:((rel_s4 V) V0)
% 148.62/148.91 Instantiate: V1:=V0:fofType
% 148.62/148.91 Found x2 as proof of ((rel_s4 W) V1)
% 148.62/148.91 Found (x4 x2) as proof of False
% 148.62/148.91 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 148.62/148.91 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 148.62/148.91 Found x2:((rel_s4 V) V0)
% 148.62/148.91 Instantiate: V1:=V0:fofType
% 148.62/148.91 Found x2 as proof of ((rel_s4 S) V1)
% 148.62/148.91 Found (x4 x2) as proof of False
% 148.62/148.91 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 148.62/148.91 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 148.62/148.91 Found a10:=(a1 V):((rel_s4 V) V)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (x1 (a1 V)) as proof of False
% 148.62/148.91 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 148.62/148.91 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 148.62/148.91 Found a10:=(a1 V):((rel_s4 V) V)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (a1 V) as proof of ((rel_s4 V) V0)
% 148.62/148.91 Found (x1 (a1 V)) as proof of False
% 148.62/148.91 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 148.62/148.91 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 148.62/148.91 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 148.62/148.91 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 148.62/148.91 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 148.62/148.91 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 148.62/148.91 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 152.84/153.12 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 152.84/153.12 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 152.84/153.12 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 152.84/153.12 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found a10:=(a1 V):((rel_s4 V) V)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (x3 (a1 V)) as proof of False
% 152.84/153.12 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.84/153.12 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.84/153.12 Found a10:=(a1 W):((rel_s4 W) W)
% 152.84/153.12 Found (a1 W) as proof of ((rel_s4 W) V1)
% 152.84/153.12 Found (a1 W) as proof of ((rel_s4 W) V1)
% 152.84/153.12 Found (a1 W) as proof of ((rel_s4 W) V1)
% 152.84/153.12 Found (x4 (a1 W)) as proof of False
% 152.84/153.12 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 152.84/153.12 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 152.84/153.12 Found a10:=(a1 V):((rel_s4 V) V)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.84/153.12 Found (x3 (a1 V)) as proof of False
% 152.84/153.12 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.84/153.12 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.84/153.12 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 152.84/153.12 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 152.84/153.12 Found a10:=(a1 S):((rel_s4 S) S)
% 152.84/153.12 Found (a1 S) as proof of ((rel_s4 S) V1)
% 152.84/153.12 Found (a1 S) as proof of ((rel_s4 S) V1)
% 152.84/153.12 Found (a1 S) as proof of ((rel_s4 S) V1)
% 152.84/153.12 Found (x5 (a1 S)) as proof of False
% 152.84/153.12 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 152.84/153.12 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 155.75/155.97 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 155.75/155.97 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 155.75/155.97 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 155.75/155.97 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 155.75/155.97 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found a10:=(a1 V):((rel_s4 V) V)
% 155.75/155.97 Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.75/155.97 Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.75/155.97 Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.75/155.97 Found (x3 (a1 V)) as proof of False
% 155.75/155.97 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 155.75/155.97 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 155.75/155.97 Found or_introl00:=(or_introl0 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found (or_introl0 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 155.75/155.97 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 155.75/155.97 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 155.75/155.97 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 160.70/160.96 Found a10:=(a1 W):((rel_s4 W) W)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (x4 (a1 W)) as proof of False
% 160.70/160.96 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 160.70/160.96 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 160.70/160.96 Found a10:=(a1 W):((rel_s4 W) W)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (x5 (a1 W)) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 160.70/160.96 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 160.70/160.96 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found a10:=(a1 W):((rel_s4 W) W)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 160.70/160.96 Found (x3 (a1 W)) as proof of False
% 160.70/160.96 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 160.70/160.96 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 160.70/160.96 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 160.70/160.96 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 160.70/160.96 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 160.70/160.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 160.70/160.96 Found a10:=(a1 S):((rel_s4 S) S)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (x5 (a1 S)) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 160.70/160.96 Found a10:=(a1 S):((rel_s4 S) S)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (a1 S) as proof of ((rel_s4 S) V1)
% 160.70/160.96 Found (x5 (a1 S)) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 160.70/160.96 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 160.70/160.96 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 160.70/160.96 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 160.70/160.96 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 165.92/166.20 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 165.92/166.20 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 165.92/166.20 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 165.92/166.20 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found a10:=(a1 V):((rel_s4 V) V)
% 165.92/166.20 Found (a1 V) as proof of ((rel_s4 V) V00)
% 165.92/166.20 Found (a1 V) as proof of ((rel_s4 V) V00)
% 165.92/166.20 Found (a1 V) as proof of ((rel_s4 V) V00)
% 165.92/166.20 Found (x3 (a1 V)) as proof of False
% 165.92/166.20 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 165.92/166.20 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 165.92/166.20 Found a10:=(a1 S):((rel_s4 S) S)
% 165.92/166.20 Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.92/166.20 Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.92/166.20 Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.92/166.20 Found (x4 (a1 S)) as proof of False
% 165.92/166.20 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 165.92/166.20 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 165.92/166.20 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 165.92/166.20 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 165.92/166.20 Found a10:=(a1 W):((rel_s4 W) W)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (x4 (a1 W)) as proof of False
% 165.92/166.20 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 165.92/166.20 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.92/166.20 Found a10:=(a1 W):((rel_s4 W) W)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.92/166.20 Found (x5 (a1 W)) as proof of False
% 165.92/166.20 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 170.63/170.87 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 170.63/170.87 Found a10:=(a1 W):((rel_s4 W) W)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (x5 (a1 W)) as proof of False
% 170.63/170.87 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 170.63/170.87 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 170.63/170.87 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 170.63/170.87 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 170.63/170.87 Found a10:=(a1 W):((rel_s4 W) W)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.63/170.87 Found (x3 (a1 W)) as proof of False
% 170.63/170.87 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 170.63/170.87 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 170.63/170.87 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 170.63/170.87 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 170.63/170.87 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 170.63/170.87 Found a10:=(a1 S):((rel_s4 S) S)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (x5 (a1 S)) as proof of False
% 170.63/170.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 170.63/170.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 170.63/170.87 Found a10:=(a1 S):((rel_s4 S) S)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.63/170.87 Found (x4 (a1 S)) as proof of False
% 170.63/170.87 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 170.63/170.87 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 170.63/170.87 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 170.63/170.87 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 170.63/170.87 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 188.22/188.47 Found a10:=(a1 W):((rel_s4 W) W)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (x4 (a1 W)) as proof of False
% 188.22/188.47 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 188.22/188.47 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 188.22/188.47 Found a10:=(a1 S):((rel_s4 S) S)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (x3 (a1 S)) as proof of False
% 188.22/188.47 Found (fun (x4:(p V0))=> (x3 (a1 S))) as proof of False
% 188.22/188.47 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((mnot p) V0)
% 188.22/188.47 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->((mnot p) V0))
% 188.22/188.47 Found a10:=(a1 W):((rel_s4 W) W)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (x5 (a1 W)) as proof of False
% 188.22/188.47 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 188.22/188.47 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 188.22/188.47 Found a10:=(a1 W):((rel_s4 W) W)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (x3 (a1 W)) as proof of False
% 188.22/188.47 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 188.22/188.47 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 188.22/188.47 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 188.22/188.47 Found a10:=(a1 V):((rel_s4 V) V)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (x1 (a1 V)) as proof of False
% 188.22/188.47 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 188.22/188.47 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 188.22/188.47 Found a10:=(a1 S):((rel_s4 S) S)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (a1 S) as proof of ((rel_s4 S) V1)
% 188.22/188.47 Found (x3 (a1 S)) as proof of False
% 188.22/188.47 Found (fun (x4:(p V0))=> (x3 (a1 S))) as proof of False
% 188.22/188.47 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((mnot p) V0)
% 188.22/188.47 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->((mnot p) V0))
% 188.22/188.47 Found a10:=(a1 W):((rel_s4 W) W)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (a1 W) as proof of ((rel_s4 W) V1)
% 188.22/188.47 Found (x3 (a1 W)) as proof of False
% 188.22/188.47 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 188.22/188.47 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 188.22/188.47 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot p) V0))
% 188.22/188.47 Found x4:((rel_s4 V) V0)
% 188.22/188.47 Instantiate: V2:=V0:fofType;V:=W:fofType
% 188.22/188.47 Found x4 as proof of ((rel_s4 W) V2)
% 188.22/188.47 Found (x6 x4) as proof of False
% 188.22/188.47 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 188.22/188.47 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 188.22/188.47 Found a10:=(a1 V):((rel_s4 V) V)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (a1 V) as proof of ((rel_s4 V) V0)
% 188.22/188.47 Found (x1 (a1 V)) as proof of False
% 188.22/188.47 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 188.22/188.47 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 188.22/188.47 Found x4:((rel_s4 V) V0)
% 188.22/188.47 Instantiate: V2:=V0:fofType
% 188.22/188.47 Found x4 as proof of ((rel_s4 W) V2)
% 188.22/188.47 Found (x6 x4) as proof of False
% 188.22/188.47 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 188.22/188.47 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 188.22/188.47 Found x4:((rel_s4 V) V0)
% 188.22/188.47 Instantiate: V2:=V0:fofType
% 188.22/188.47 Found x4 as proof of ((rel_s4 W) V2)
% 209.68/209.95 Found (x6 x4) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 209.68/209.95 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 209.68/209.95 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found x4:((rel_s4 V) V0)
% 209.68/209.95 Instantiate: V2:=V0:fofType
% 209.68/209.95 Found x4 as proof of ((rel_s4 W) V2)
% 209.68/209.95 Found (x6 x4) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 209.68/209.95 Found a10:=(a1 W):((rel_s4 W) W)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found a10:=(a1 W):((rel_s4 W) W)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.68/209.95 Found a10:=(a1 W):((rel_s4 W) W)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.68/209.95 Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.68/209.95 Found (x6 (a1 W)) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 209.68/209.95 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 209.68/209.95 Found a10:=(a1 S):((rel_s4 S) S)
% 209.68/209.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.68/209.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.68/209.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.68/209.95 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 209.68/209.95 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 209.68/209.95 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot p) V2)))
% 209.68/209.95 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot p) V2)))
% 209.68/209.95 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 209.68/209.95 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 216.22/216.51 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 216.22/216.51 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 216.22/216.51 Found a10:=(a1 W):((rel_s4 W) W)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found a10:=(a1 W):((rel_s4 W) W)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.22/216.51 Found a10:=(a1 S):((rel_s4 S) S)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found a10:=(a1 W):((rel_s4 W) W)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (x6 (a1 W)) as proof of False
% 216.22/216.51 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 216.22/216.51 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 216.22/216.51 Found a10:=(a1 W):((rel_s4 W) W)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.22/216.51 Found (x6 (a1 W)) as proof of False
% 216.22/216.51 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 216.22/216.51 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 216.22/216.51 Found a10:=(a1 S):((rel_s4 S) S)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found a10:=(a1 S):((rel_s4 S) S)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.22/216.51 Found (x3 (a1 S)) as proof of False
% 216.22/216.51 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of False
% 216.22/216.51 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of ((mnot p) V00)
% 216.22/216.51 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 216.22/216.51 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 216.22/216.51 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 216.22/216.51 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 216.22/216.51 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 216.22/216.51 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of (((mbox rel_s4) (mnot p)) V)
% 216.22/216.51 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of ((((rel_s4 S) V0)->False)->(((mbox rel_s4) (mnot p)) V))
% 216.22/216.51 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 216.22/216.51 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 216.22/216.51 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 216.22/216.51 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 216.22/216.51 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 216.22/216.51 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 220.61/220.87 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found a10:=(a1 W):((rel_s4 W) W)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V2)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V2)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V2)
% 220.61/220.87 Found (x5 (a1 W)) as proof of False
% 220.61/220.87 Found (fun (x6:(p V0))=> (x5 (a1 W))) as proof of False
% 220.61/220.87 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((mnot p) V0)
% 220.61/220.87 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot p) V0))
% 220.61/220.87 Found a10:=(a1 W):((rel_s4 W) W)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V0)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V0)
% 220.61/220.87 Found (a1 W) as proof of ((rel_s4 W) V0)
% 220.61/220.87 Found (x3 (a1 W)) as proof of False
% 220.61/220.87 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 220.61/220.87 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 220.61/220.87 Found (or_intror10 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 220.61/220.87 Found ((or_intror1 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 220.61/220.87 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 220.61/220.87 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 220.61/220.87 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 220.61/220.87 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot p)) V)
% 220.61/220.87 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot p)) V))
% 220.61/220.87 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 220.61/220.87 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 220.61/220.87 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 220.61/220.87 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 228.91/229.21 Found or_introl20:=(or_introl2 ((mnot p) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot p) V2)))
% 228.91/229.21 Found (or_introl2 ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found or_introl10:=(or_introl1 ((mnot p) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot p) V2)))
% 228.91/229.21 Found (or_introl1 ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot p) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot p) V2)))
% 228.91/229.21 Found a10:=(a1 S):((rel_s4 S) S)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found a10:=(a1 W):((rel_s4 W) W)
% 228.91/229.21 Found (a1 W) as proof of ((rel_s4 W) V2)
% 228.91/229.21 Found (a1 W) as proof of ((rel_s4 W) V2)
% 228.91/229.21 Found (a1 W) as proof of ((rel_s4 W) V2)
% 228.91/229.21 Found (x6 (a1 W)) as proof of False
% 228.91/229.21 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 228.91/229.21 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 228.91/229.21 Found a10:=(a1 S):((rel_s4 S) S)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 228.91/229.21 Found (x3 (a1 S)) as proof of False
% 228.91/229.21 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of False
% 228.91/229.21 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of ((mnot p) V00)
% 228.91/229.21 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 228.91/229.21 Found ((or_intror0 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 228.98/229.21 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 228.98/229.21 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 228.98/229.21 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 228.98/229.21 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of (((mbox rel_s4) (mnot p)) V)
% 228.98/229.21 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 S))))) as proof of ((((rel_s4 S) V0)->False)->(((mbox rel_s4) (mnot p)) V))
% 228.98/229.21 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 232.65/232.94 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 232.65/232.94 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found a10:=(a1 W):((rel_s4 W) W)
% 232.65/232.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.65/232.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.65/232.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.65/232.94 Found (x3 (a1 W)) as proof of False
% 232.65/232.94 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 232.65/232.94 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 232.65/232.94 Found (or_intror10 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 232.65/232.94 Found ((or_intror1 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 232.65/232.94 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 232.65/232.94 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 232.65/232.94 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 232.65/232.94 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot p)) V)
% 232.65/232.94 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot p)) V))
% 232.65/232.94 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 232.65/232.94 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 232.65/232.94 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 232.65/232.94 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (x5 (a1 W)) as proof of False
% 247.93/248.20 Found (fun (x6:(p V0))=> (x5 (a1 W))) as proof of False
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((mnot p) V0)
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot p) V0))
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (x5 (a1 W)) as proof of False
% 247.93/248.20 Found (fun (x6:(p V0))=> (x5 (a1 W))) as proof of False
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((mnot p) V0)
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot p) V0))
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found a10:=(a1 S):((rel_s4 S) S)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found x3:(((rel_s4 S) V0)->False)
% 247.93/248.20 Instantiate: V0:=V00:fofType;V:=S:fofType
% 247.93/248.20 Found x3 as proof of (((rel_s4 V) V00)->False)
% 247.93/248.20 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 247.93/248.20 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 247.93/248.20 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 247.93/248.20 Found a10:=(a1 S):((rel_s4 S) S)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V2)
% 247.93/248.20 Found (x5 (a1 W)) as proof of False
% 247.93/248.20 Found (fun (x6:(p V0))=> (x5 (a1 W))) as proof of False
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((mnot p) V0)
% 247.93/248.20 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:(p V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot p) V0))
% 247.93/248.20 Found a10:=(a1 V):((rel_s4 V) V)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (x1 (a1 V)) as proof of False
% 247.93/248.20 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 247.93/248.20 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found x2:((rel_s4 V) V0)
% 247.93/248.20 Instantiate: V1:=V0:fofType;V:=S:fofType
% 247.93/248.20 Found x2 as proof of ((rel_s4 S) V1)
% 247.93/248.20 Found (x4 x2) as proof of False
% 247.93/248.20 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 247.93/248.20 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 247.93/248.20 Found a10:=(a1 S):((rel_s4 S) S)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found a10:=(a1 W):((rel_s4 W) W)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 247.93/248.20 Found a10:=(a1 S):((rel_s4 S) S)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found (a1 S) as proof of ((rel_s4 S) V0)
% 247.93/248.20 Found a10:=(a1 V):((rel_s4 V) V)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (a1 V) as proof of ((rel_s4 V) V0)
% 247.93/248.20 Found (x1 (a1 V)) as proof of False
% 247.93/248.20 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 247.93/248.20 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 258.20/258.47 Found x3:(((rel_s4 S) V0)->False)
% 258.20/258.47 Instantiate: V0:=V00:fofType
% 258.20/258.47 Found x3 as proof of (((rel_s4 V) V00)->False)
% 258.20/258.47 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 258.20/258.47 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 258.20/258.47 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 258.20/258.47 Found a10:=(a1 S):((rel_s4 S) S)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found x2:((rel_s4 V) V0)
% 258.20/258.47 Instantiate: V1:=V0:fofType;V:=W:fofType
% 258.20/258.47 Found x2 as proof of ((rel_s4 W) V1)
% 258.20/258.47 Found (x4 x2) as proof of False
% 258.20/258.47 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 258.20/258.47 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 258.20/258.47 Found or_introl20:=(or_introl2 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 258.20/258.47 Found (or_introl2 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 258.20/258.47 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 258.20/258.47 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 258.20/258.47 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 258.20/258.47 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 S) V2)->False)))
% 258.20/258.47 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 S) V2)->False)))
% 258.20/258.47 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 258.20/258.47 Found x2:((rel_s4 V) V0)
% 258.20/258.47 Instantiate: V1:=V0:fofType
% 258.20/258.47 Found x2 as proof of ((rel_s4 S) V1)
% 258.20/258.47 Found (x4 x2) as proof of False
% 258.20/258.47 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 258.20/258.47 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 258.20/258.47 Found a10:=(a1 S):((rel_s4 S) S)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found a10:=(a1 S):((rel_s4 S) S)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.20/258.47 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 258.20/258.47 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 258.20/258.47 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 258.20/258.47 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 268.43/268.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 268.43/268.73 Found x2:((rel_s4 V) V0)
% 268.43/268.73 Instantiate: V1:=V0:fofType
% 268.43/268.73 Found x2 as proof of ((rel_s4 W) V1)
% 268.43/268.73 Found (x4 x2) as proof of False
% 268.43/268.73 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 268.43/268.73 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 268.43/268.73 Found or_introl10:=(or_introl1 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found (or_introl1 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found or_introl10:=(or_introl1 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found (or_introl1 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 268.43/268.73 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 S) V2)->False)))
% 268.43/268.73 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found x2:((rel_s4 V) V0)
% 268.43/268.73 Instantiate: V1:=V0:fofType;V:=S:fofType
% 268.43/268.73 Found x2 as proof of ((rel_s4 S) V1)
% 268.43/268.73 Found (x4 x2) as proof of False
% 268.43/268.73 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 268.43/268.73 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 268.43/268.73 Found a10:=(a1 S):((rel_s4 S) S)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found a10:=(a1 S):((rel_s4 S) S)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found (a1 S) as proof of ((rel_s4 S) V0)
% 268.43/268.73 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 268.43/268.73 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 268.43/268.73 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 277.69/277.95 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found a10:=(a1 V):((rel_s4 V) V)
% 277.69/277.95 Found (a1 V) as proof of ((rel_s4 V) V00)
% 277.69/277.95 Found (a1 V) as proof of ((rel_s4 V) V00)
% 277.69/277.95 Found (a1 V) as proof of ((rel_s4 V) V00)
% 277.69/277.95 Found (x3 (a1 V)) as proof of False
% 277.69/277.95 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 277.69/277.95 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 277.69/277.95 Found x2:((rel_s4 V) V0)
% 277.69/277.95 Instantiate: V1:=V0:fofType
% 277.69/277.95 Found x2 as proof of ((rel_s4 S) V1)
% 277.69/277.95 Found (x4 x2) as proof of False
% 277.69/277.95 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 277.69/277.95 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 277.69/277.95 Found a10:=(a1 S):((rel_s4 S) S)
% 277.69/277.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.69/277.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.69/277.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.69/277.95 Found or_introl20:=(or_introl2 ((mdia_s4 p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found (or_introl2 ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found ((or_introl (((rel_s4 V) V00)->False)) ((mdia_s4 p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) ((mdia_s4 p) V1)))
% 277.69/277.95 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 277.69/277.95 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 277.69/277.95 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 277.69/277.95 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 277.69/277.95 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 277.69/277.95 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 277.69/277.95 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 S) V2)->False)))
% 277.69/277.95 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found ((or_intror ((mnot p) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 277.69/277.95 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 283.18/283.50 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 283.18/283.50 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 283.18/283.50 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 283.18/283.50 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 283.18/283.50 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 283.18/283.50 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 283.18/283.50 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 283.18/283.50 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 283.18/283.50 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 283.18/283.50 Found a10:=(a1 W):((rel_s4 W) W)
% 283.18/283.50 Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.18/283.50 Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.18/283.50 Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.18/283.50 Found (x3 (a1 W)) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 283.18/283.50 Found a10:=(a1 S):((rel_s4 S) S)
% 283.18/283.50 Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.18/283.50 Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.18/283.50 Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.18/283.50 Found (x4 (a1 S)) as proof of False
% 283.18/283.50 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 283.18/283.50 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 283.18/283.50 Found a10:=(a1 V):((rel_s4 V) V)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (x3 (a1 V)) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 283.18/283.50 Found a10:=(a1 V):((rel_s4 V) V)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (x3 (a1 V)) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 283.18/283.50 Found a10:=(a1 V):((rel_s4 V) V)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V00)
% 283.18/283.50 Found (x3 (a1 V)) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 283.18/283.50 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 283.18/283.50 Found a10:=(a1 V):((rel_s4 V) V)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V0)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V0)
% 283.18/283.50 Found (a1 V) as proof of ((rel_s4 V) V0)
% 283.18/283.50 Found (x1 (a1 V)) as proof of False
% 283.18/283.50 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 288.27/288.60 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 288.27/288.60 Found a10:=(a1 V):((rel_s4 V) V)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.27/288.60 Found (x1 (a1 V)) as proof of False
% 288.27/288.60 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 288.27/288.60 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 288.27/288.60 Found or_introl10:=(or_introl1 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found (or_introl1 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found a10:=(a1 W):((rel_s4 W) W)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found a10:=(a1 W):((rel_s4 W) W)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found a10:=(a1 V):((rel_s4 V) V)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.27/288.60 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.27/288.60 Found or_introl10:=(or_introl1 (((mdia rel_s4) p) V1)):((((rel_s4 V) V00)->False)->((or (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found (or_introl1 (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 V) V00)->False)) (((mdia rel_s4) p) V1)) as proof of ((((rel_s4 V) V00)->False)->((or (((rel_s4 V0) V1)->False)) (((mdia rel_s4) p) V1)))
% 288.27/288.60 Found a10:=(a1 W):((rel_s4 W) W)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 288.27/288.60 Found (x4 (a1 W)) as proof of False
% 288.27/288.60 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 288.27/288.60 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.27/288.60 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 288.27/288.60 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 288.27/288.60 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 288.27/288.60 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 288.27/288.60 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 293.48/293.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 293.48/293.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 293.48/293.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 293.48/293.74 Found a10:=(a1 W):((rel_s4 W) W)
% 293.48/293.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 293.48/293.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 293.48/293.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 293.48/293.74 Found (x3 (a1 W)) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 293.48/293.74 Found a10:=(a1 S):((rel_s4 S) S)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (x4 (a1 S)) as proof of False
% 293.48/293.74 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 293.48/293.74 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 293.48/293.74 Found a10:=(a1 V):((rel_s4 V) V)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (x3 (a1 V)) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 293.48/293.74 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 293.48/293.74 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 293.48/293.74 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 293.48/293.74 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 293.48/293.74 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 293.48/293.74 Found ((or_intror ((mnot p) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 V) V0)->False)))
% 293.48/293.74 Found a10:=(a1 V):((rel_s4 V) V)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.48/293.74 Found (x3 (a1 V)) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 293.48/293.74 Found a10:=(a1 S):((rel_s4 S) S)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (a1 S) as proof of ((rel_s4 S) V1)
% 293.48/293.74 Found (x3 (a1 S)) as proof of False
% 293.48/293.74 Found (fun (x4:(p V0))=> (x3 (a1 S))) as proof of False
% 293.48/293.74 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((mnot p) V0)
% 293.48/293.74 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->((mnot p) V0))
% 293.48/293.74 Found a10:=(a1 V):((rel_s4 V) V)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V0)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V0)
% 293.48/293.74 Found (a1 V) as proof of ((rel_s4 V) V0)
% 293.48/293.74 Found (x1 (a1 V)) as proof of False
% 293.48/293.74 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 293.48/293.74 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 293.48/293.74 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 293.48/293.74 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 293.48/293.74 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 293.48/293.74 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 297.43/297.73 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found a10:=(a1 V):((rel_s4 V) V)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found a10:=(a1 V):((rel_s4 V) V)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V0)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V0)
% 297.43/297.73 Found (a1 V) as proof of ((rel_s4 V) V0)
% 297.43/297.73 Found (x1 (a1 V)) as proof of False
% 297.43/297.73 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 297.43/297.73 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 297.43/297.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found a10:=(a1 W):((rel_s4 W) W)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (a1 W) as proof of ((rel_s4 W) V1)
% 297.43/297.73 Found (x4 (a1 W)) as proof of False
% 297.43/297.73 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 297.43/297.73 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 297.43/297.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 297.43/297.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 297.43/297.73 Found a10:=(a1 S):((rel_s4 S) S)
% 297.43/297.73 Found (a1 S) as proof of ((rel_s4 S) V1)
% 297.43/297.73 Found (a1 S) as proof of ((rel_s4 S) V1)
% 297.43/297.73 Found (a1 S) as proof of
%------------------------------------------------------------------------------