TSTP Solution File: SYO465^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO465^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 00:51:43 EDT 2022
% Result : Timeout 291.81s 292.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO465^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Mar 13 01:45:25 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.39/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.39/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8cb0>, <kernel.Type object at 0x2b6b244c8b48>) of role type named mu_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring mu:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8d88>, <kernel.DependentProduct object at 0x2b6b244c8cb0>) of role type named meq_ind_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.39/0.61 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
% 0.39/0.61 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.39/0.61 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8cb0>, <kernel.DependentProduct object at 0x2b6b244c8bd8>) of role type named meq_prop_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.61 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
% 0.39/0.61 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))))
% 0.39/0.61 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8cf8>, <kernel.DependentProduct object at 0x2b6b244c8d88>) of role type named mnot_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.39/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.39/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.39/0.61 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8d88>, <kernel.DependentProduct object at 0x2b6b244c8440>) of role type named mor_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.61 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
% 0.39/0.61 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))))
% 0.39/0.61 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c8440>, <kernel.DependentProduct object at 0x2b6b244c86c8>) of role type named mand_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.61 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
% 0.39/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.39/0.61 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b6b244c86c8>, <kernel.DependentProduct object at 0x2b6b244c84d0>) of role type named mimplies_type
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.61 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
% 0.39/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.39/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b244c84d0>, <kernel.DependentProduct object at 0x2b6b244c8908>) of role type named mimplied_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.62 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
% 0.39/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.39/0.62 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b244c8908>, <kernel.DependentProduct object at 0x2b6b244c8d88>) of role type named mequiv_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.62 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
% 0.39/0.62 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))))
% 0.39/0.62 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b244c8d88>, <kernel.DependentProduct object at 0x2b6b244c8440>) of role type named mxor_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.39/0.62 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
% 0.39/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.39/0.62 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b244c8cb0>, <kernel.DependentProduct object at 0x2b6b244c8908>) of role type named mforall_ind_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.39/0.62 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
% 0.39/0.62 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.39/0.62 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b2bf96b00>, <kernel.DependentProduct object at 0x2b6b244c82d8>) of role type named mforall_prop_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.39/0.62 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
% 0.39/0.62 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))))
% 0.39/0.62 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b6b244c82d8>, <kernel.DependentProduct object at 0x2b6b244c84d0>) of role type named mexists_ind_type
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.39/0.62 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
% 0.47/0.63 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)))))))
% 0.47/0.63 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6b244c84d0>, <kernel.DependentProduct object at 0x2b6b244c80e0>) of role type named mexists_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 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
% 0.47/0.63 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)))))))
% 0.47/0.63 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x27f1ea8>, <kernel.DependentProduct object at 0x2b6b244c8050>) of role type named mtrue_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mtrue:(fofType->Prop)
% 0.47/0.63 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.47/0.63 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.47/0.63 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x27f1f38>, <kernel.DependentProduct object at 0x2b6b244c8050>) of role type named mfalse_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mfalse:(fofType->Prop)
% 0.47/0.63 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.47/0.63 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.47/0.63 Defined: mfalse:=(mnot mtrue)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x27f1f38>, <kernel.DependentProduct object at 0x2b6b244c80e0>) of role type named mbox_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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)))))
% 0.47/0.63 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x27f1f80>, <kernel.DependentProduct object at 0x2b6b244c83b0>) of role type named mdia_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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)))))
% 0.47/0.63 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b6b244c87e8>, <kernel.DependentProduct object at 0x2b6b244c80e0>) of role type named mreflexive_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.63 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.47/0.63 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.63 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c80e0>, <kernel.DependentProduct object at 0x2b6b244c8a28>) of role type named msymmetric_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c8a28>, <kernel.DependentProduct object at 0x2b6b244c88c0>) of role type named mserial_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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))))))
% 0.47/0.64 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c88c0>, <kernel.DependentProduct object at 0x2b6b244c8128>) of role type named mtransitive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c8128>, <kernel.DependentProduct object at 0x2b6b244c8a28>) of role type named meuclidean_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c8b48>, <kernel.DependentProduct object at 0x27fa8c0>) of role type named mpartially_functional_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 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
% 0.47/0.64 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)))))
% 0.47/0.64 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))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b6b244c80e0>, <kernel.DependentProduct object at 0x27fab90>) of role type named mfunctional_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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)))))))))
% 0.47/0.65 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))))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6b244c80e0>, <kernel.DependentProduct object at 0x27fa8c0>) of role type named mweakly_dense_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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)))))))))
% 0.47/0.65 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))))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b6b244c80e0>, <kernel.DependentProduct object at 0x27faf38>) of role type named mweakly_connected_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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))))))
% 0.47/0.65 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)))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x27faf38>, <kernel.DependentProduct object at 0x27fa878>) of role type named mweakly_directed_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.47/0.65 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
% 0.47/0.65 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))))))))
% 0.47/0.65 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)))))))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x27faab8>, <kernel.DependentProduct object at 0x27fa758>) of role type named mvalid_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring mvalid:((fofType->Prop)->Prop)
% 0.47/0.65 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.47/0.65 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.65 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27faf38>, <kernel.DependentProduct object at 0x2b6b244c6200>) of role type named minvalid_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.66 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27faf38>, <kernel.DependentProduct object at 0x2b6b244c6560>) of role type named msatisfiable_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.66 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2b6b244c63f8>, <kernel.DependentProduct object at 0x2b6b244c6638>) of role type named mcountersatisfiable_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.66 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.66 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27f1ea8>, <kernel.DependentProduct object at 0x2b6b244c8f80>) of role type named rel_s4_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring rel_s4:(fofType->(fofType->Prop))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27f1f80>, <kernel.DependentProduct object at 0x2b6b244c8ef0>) of role type named mbox_s4_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66 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
% 0.47/0.66 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)))))
% 0.47/0.66 Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27f1f80>, <kernel.DependentProduct object at 0x2b6b244c8e60>) of role type named mdia_s4_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.47/0.66 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.47/0.66 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.47/0.66 Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.47/0.66 FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.47/0.66 A new axiom: (mreflexive rel_s4)
% 0.47/0.66 FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.47/0.66 A new axiom: (mtransitive rel_s4)
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x27f7878>, <kernel.DependentProduct object at 0x27d4c68>) of role type named p_type
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring p:(fofType->Prop)
% 0.47/0.66 FOF formula (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mdia_s4 (mbox_s4 p)))) of role conjecture named prove
% 0.47/0.66 Conjecture to prove = (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mdia_s4 (mbox_s4 p)))):Prop
% 0.47/0.66 Parameter mu_DUMMY:mu.
% 0.47/0.66 Parameter fofType_DUMMY:fofType.
% 0.47/0.66 We need to prove ['(mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mdia_s4 (mbox_s4 p))))']
% 0.47/0.67 Parameter mu:Type.
% 0.47/0.67 Parameter fofType:Type.
% 0.47/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.47/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.47/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.47/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.47/0.67 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).
% 2.48/2.68 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).
% 2.48/2.68 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 2.48/2.68 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 2.48/2.68 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 2.48/2.68 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 2.48/2.68 Parameter rel_s4:(fofType->(fofType->Prop)).
% 2.48/2.68 Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 2.48/2.68 Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 2.48/2.68 Axiom a1:(mreflexive rel_s4).
% 2.48/2.68 Axiom a2:(mtransitive rel_s4).
% 2.48/2.68 Parameter p:(fofType->Prop).
% 2.48/2.68 Trying to prove (mvalid ((mimplies (mbox_s4 (mdia_s4 p))) (mdia_s4 (mbox_s4 p))))
% 2.48/2.68 Found a10:=(a1 W):((rel_s4 W) W)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (x1 (a1 W)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 W):((rel_s4 W) W)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (x1 (a1 W)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 S):((rel_s4 S) S)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (x1 (a1 S)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 S):((rel_s4 S) S)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (x1 (a1 S)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 W):((rel_s4 W) W)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (x1 (a1 W)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 W):((rel_s4 W) W)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (a1 W) as proof of ((rel_s4 W) V)
% 2.48/2.68 Found (x1 (a1 W)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 S):((rel_s4 S) S)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (x1 (a1 S)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 2.48/2.68 Found a10:=(a1 S):((rel_s4 S) S)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (a1 S) as proof of ((rel_s4 S) V)
% 2.48/2.68 Found (x1 (a1 S)) as proof of False
% 2.48/2.68 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 6.52/6.73 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 6.52/6.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 6.52/6.73 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 6.52/6.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 6.52/6.73 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)))
% 6.52/6.73 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)))
% 6.52/6.73 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)))
% 6.52/6.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 6.52/6.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 6.52/6.73 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)))
% 6.52/6.73 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)))
% 6.52/6.73 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)))
% 6.52/6.73 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)))
% 6.52/6.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 6.52/6.73 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 6.52/6.73 Found a10:=(a1 W):((rel_s4 W) W)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (x3 (a1 W)) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.52/6.73 Found a10:=(a1 W):((rel_s4 W) W)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (x3 (a1 W)) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 6.52/6.73 Found a10:=(a1 W):((rel_s4 W) W)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (a1 W) as proof of ((rel_s4 W) V0)
% 6.52/6.73 Found (x3 (a1 W)) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 6.52/6.73 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.67/12.84 Found a10:=(a1 W):((rel_s4 W) W)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 12.67/12.84 Found (x3 (a1 W)) as proof of False
% 12.67/12.84 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 12.67/12.84 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 12.67/12.84 Found a10:=(a1 W):((rel_s4 W) W)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (x1 (a1 W)) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.67/12.84 Found a10:=(a1 W):((rel_s4 W) W)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (x1 (a1 W)) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.67/12.84 Found a10:=(a1 W):((rel_s4 W) W)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (x1 (a1 W)) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.67/12.84 Found a10:=(a1 W):((rel_s4 W) W)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (a1 W) as proof of ((rel_s4 W) V)
% 12.67/12.84 Found (x1 (a1 W)) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.67/12.84 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 12.67/12.84 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 12.67/12.84 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 12.67/12.84 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)))
% 12.67/12.84 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)))
% 12.67/12.84 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)))
% 12.67/12.84 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 12.67/12.84 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 12.67/12.84 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 12.67/12.84 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 12.67/12.84 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 12.67/12.84 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 12.67/12.84 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 12.67/12.84 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)))
% 12.67/12.84 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)))
% 12.67/12.84 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)))
% 12.67/12.84 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)))
% 12.67/12.84 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 12.67/12.84 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found a10:=(a1 S):((rel_s4 S) S)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (x3 (a1 S)) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.97/16.14 Found a10:=(a1 S):((rel_s4 S) S)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (x3 (a1 S)) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.97/16.14 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 15.97/16.14 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 15.97/16.14 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 15.97/16.14 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)))
% 15.97/16.14 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)))
% 15.97/16.14 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)))
% 15.97/16.14 Found a10:=(a1 S):((rel_s4 S) S)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (x3 (a1 S)) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.97/16.14 Found a10:=(a1 S):((rel_s4 S) S)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 15.97/16.14 Found (x3 (a1 S)) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 15.97/16.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 15.97/16.14 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 15.97/16.14 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 15.97/16.14 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 20.72/20.94 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 20.72/20.94 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)))
% 20.72/20.94 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)))
% 20.72/20.94 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)))
% 20.72/20.94 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)))
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (x3 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (x3 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (x3 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V0)
% 20.72/20.94 Found (x3 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 20.72/20.94 Found a10:=(a1 S):((rel_s4 S) S)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (x1 (a1 S)) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (x1 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 20.72/20.94 Found a10:=(a1 S):((rel_s4 S) S)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (a1 S) as proof of ((rel_s4 S) V)
% 20.72/20.94 Found (x1 (a1 S)) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (x1 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 20.72/20.94 Found (x1 (a1 W)) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 20.72/20.94 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 20.72/20.94 Found a10:=(a1 W):((rel_s4 W) W)
% 20.72/20.94 Found (a1 W) as proof of ((rel_s4 W) V)
% 26.20/26.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 26.20/26.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 26.20/26.38 Found (x1 (a1 W)) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 26.20/26.38 Found a10:=(a1 S):((rel_s4 S) S)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (x1 (a1 S)) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.20/26.38 Found a10:=(a1 S):((rel_s4 S) S)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.20/26.38 Found (x1 (a1 S)) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.20/26.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.20/26.38 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 26.20/26.38 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 26.20/26.38 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)))
% 26.20/26.38 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)))
% 26.20/26.38 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)))
% 26.20/26.38 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 26.20/26.38 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 26.20/26.38 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 26.20/26.38 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)))
% 26.20/26.38 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)))
% 26.20/26.38 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)))
% 26.20/26.38 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)))
% 26.20/26.38 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 26.20/26.38 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 26.20/26.38 Found a10:=(a1 S):((rel_s4 S) S)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.20/26.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.20/26.38 Found (x3 (a1 S)) as proof of False
% 26.20/26.38 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (x3 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (x3 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (x3 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (x1 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (x1 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (x1 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V)
% 35.40/35.63 Found (x1 (a1 S)) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 35.40/35.63 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 W):((rel_s4 W) W)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found (a1 W) as proof of ((rel_s4 W) V0)
% 35.40/35.63 Found a10:=(a1 S):((rel_s4 S) S)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 35.40/35.63 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 S):((rel_s4 S) S)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found (a1 S) as proof of ((rel_s4 S) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found a10:=(a1 W):((rel_s4 W) W)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found (a1 W) as proof of ((rel_s4 W) V0)
% 41.19/41.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 41.19/41.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 41.19/41.41 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)))
% 41.19/41.41 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)))
% 41.19/41.41 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)))
% 41.19/41.41 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 41.19/41.41 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 41.19/41.41 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)))
% 41.19/41.41 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)))
% 41.19/41.41 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)))
% 41.19/41.41 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 41.19/41.41 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 41.19/41.41 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 41.19/41.41 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 43.68/43.86 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 43.68/43.86 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 43.68/43.86 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 43.68/43.86 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 43.68/43.86 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 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)))
% 43.68/43.86 Found a10:=(a1 W):((rel_s4 W) W)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (x3 (a1 W)) as proof of False
% 43.68/43.86 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.68/43.86 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 43.68/43.86 Found a10:=(a1 W):((rel_s4 W) W)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (x3 (a1 W)) as proof of False
% 43.68/43.86 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 43.68/43.86 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 43.68/43.86 Found a10:=(a1 W):((rel_s4 W) W)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (a1 W) as proof of ((rel_s4 W) V0)
% 43.68/43.86 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 48.01/48.20 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found a10:=(a1 W):((rel_s4 W) W)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found a10:=(a1 W):((rel_s4 W) W)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found a10:=(a1 W):((rel_s4 W) W)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found a10:=(a1 W):((rel_s4 W) W)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 48.01/48.20 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 48.01/48.20 Found a10:=(a1 W):((rel_s4 W) W)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (a1 W) as proof of ((rel_s4 W) V0)
% 48.01/48.20 Found (x3 (a1 W)) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 48.01/48.20 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 48.01/48.20 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 48.01/48.20 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 48.01/48.20 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)))
% 48.01/48.20 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)))
% 48.01/48.20 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)))
% 48.01/48.20 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 58.76/58.98 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 58.76/58.98 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 58.76/58.98 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 58.76/58.98 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 58.76/58.98 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 58.76/58.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 58.76/58.98 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)))
% 58.76/58.98 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)))
% 58.76/58.98 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)))
% 58.76/58.98 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)))
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 W):((rel_s4 W) W)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (x1 (a1 W)) as proof of False
% 58.76/58.98 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 58.76/58.98 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 S):((rel_s4 S) S)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 58.76/58.98 Found a10:=(a1 W):((rel_s4 W) W)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (a1 W) as proof of ((rel_s4 W) V)
% 58.76/58.98 Found (x1 (a1 W)) as proof of False
% 58.76/58.98 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 58.76/58.98 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 58.76/58.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 58.76/58.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 58.76/58.98 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)))
% 58.76/58.98 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)))
% 58.76/58.98 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)))
% 67.78/68.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 67.78/68.03 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 67.78/68.03 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 67.78/68.03 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 67.78/68.03 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)))
% 67.78/68.03 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)))
% 67.78/68.03 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)))
% 67.78/68.03 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 67.78/68.03 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 67.78/68.03 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)))
% 67.78/68.03 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)))
% 67.78/68.03 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)))
% 67.78/68.03 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)))
% 67.78/68.03 Found a10:=(a1 S):((rel_s4 S) S)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (x3 (a1 S)) as proof of False
% 67.78/68.03 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 67.78/68.03 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 67.78/68.03 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 67.78/68.03 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 67.78/68.03 Found a10:=(a1 S):((rel_s4 S) S)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (a1 S) as proof of ((rel_s4 S) V0)
% 67.78/68.03 Found (x3 (a1 S)) as proof of False
% 67.78/68.03 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.58/70.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.58/70.80 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 70.58/70.80 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found a10:=(a1 S):((rel_s4 S) S)
% 70.58/70.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.58/70.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.58/70.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.58/70.80 Found (x3 (a1 S)) as proof of False
% 70.58/70.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.58/70.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.58/70.80 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 70.58/70.80 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 70.58/70.80 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)))
% 70.58/70.80 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)))
% 70.58/70.80 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)))
% 70.58/70.80 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 70.58/70.80 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 70.58/70.80 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)))
% 70.58/70.80 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)))
% 70.58/70.80 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)))
% 70.58/70.80 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 70.58/70.80 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 70.58/70.80 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 70.58/70.80 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 70.58/70.80 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 70.58/70.80 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)))
% 74.94/75.14 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)))
% 74.94/75.14 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)))
% 74.94/75.14 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)))
% 74.94/75.14 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 74.94/75.14 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 74.94/75.14 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)))
% 74.94/75.14 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)))
% 74.94/75.14 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)))
% 74.94/75.14 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 74.94/75.14 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 74.94/75.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 74.94/75.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 74.94/75.14 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 74.94/75.14 Found a10:=(a1 S):((rel_s4 S) S)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (x3 (a1 S)) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 74.94/75.14 Found a10:=(a1 S):((rel_s4 S) S)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (x3 (a1 S)) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 74.94/75.14 Found a10:=(a1 S):((rel_s4 S) S)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (x3 (a1 S)) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 74.94/75.14 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 W) V1)->False)))
% 74.94/75.14 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 74.94/75.14 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 74.94/75.14 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 74.94/75.14 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 74.94/75.14 Found a10:=(a1 S):((rel_s4 S) S)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (x3 (a1 S)) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 74.94/75.14 Found a10:=(a1 S):((rel_s4 S) S)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 74.94/75.14 Found (x3 (a1 S)) as proof of False
% 74.94/75.14 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 77.17/77.39 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 77.17/77.39 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 77.17/77.39 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 77.17/77.39 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 Found a10:=(a1 W):((rel_s4 W) W)
% 77.17/77.39 Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.17/77.39 Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.17/77.39 Found (a1 W) as proof of ((rel_s4 W) V0)
% 77.17/77.39 Found (x3 (a1 W)) as proof of False
% 77.17/77.39 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 77.17/77.39 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 77.17/77.39 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 77.17/77.39 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 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)))
% 77.17/77.39 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 77.17/77.39 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 77.17/77.39 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 82.60/82.82 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 82.60/82.82 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)))
% 82.60/82.82 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)))
% 82.60/82.82 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)))
% 82.60/82.82 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)))
% 82.60/82.82 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 82.60/82.82 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found a10:=(a1 W):((rel_s4 W) W)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (a1 W) as proof of ((rel_s4 W) V0)
% 82.60/82.82 Found (x3 (a1 W)) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 82.60/82.82 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 82.60/82.82 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 89.85/90.13 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 89.85/90.13 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 89.85/90.13 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 89.85/90.13 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 89.85/90.13 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 W) V1)->False)))
% 89.85/90.13 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 89.85/90.13 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 89.85/90.13 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 89.85/90.13 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 89.85/90.13 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 89.85/90.13 Found a10:=(a1 W):((rel_s4 W) W)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (x3 (a1 W)) as proof of False
% 89.85/90.13 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 89.85/90.13 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 89.85/90.13 Found a10:=(a1 W):((rel_s4 W) W)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found a10:=(a1 W):((rel_s4 W) W)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 89.85/90.13 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 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)))
% 89.85/90.13 Found a10:=(a1 W):((rel_s4 W) W)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found a10:=(a1 W):((rel_s4 W) W)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 89.85/90.13 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V0)))
% 89.85/90.13 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 89.85/90.13 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 100.14/100.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 100.14/100.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 100.14/100.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (x1 (a1 W)) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 100.14/100.38 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V0)))
% 100.14/100.38 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 100.14/100.38 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)))
% 100.14/100.38 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)))
% 100.14/100.38 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)))
% 100.14/100.38 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)))
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V)
% 100.14/100.38 Found (x1 (a1 W)) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found a10:=(a1 S):((rel_s4 S) S)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (x1 (a1 S)) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 100.14/100.38 Found x3:(((rel_s4 W) V0)->False)
% 100.14/100.38 Instantiate: V0:=V00:fofType;V:=W:fofType
% 100.14/100.38 Found x3 as proof of (((rel_s4 V) V00)->False)
% 100.14/100.38 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 100.14/100.38 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 100.14/100.38 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 100.14/100.38 Found x3:(((rel_s4 W) V0)->False)
% 100.14/100.38 Instantiate: V0:=V00:fofType;V:=W:fofType
% 100.14/100.38 Found x3 as proof of (((rel_s4 V) V00)->False)
% 100.14/100.38 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 100.14/100.38 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 100.14/100.38 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 100.14/100.38 Found a10:=(a1 S):((rel_s4 S) S)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (a1 S) as proof of ((rel_s4 S) V)
% 100.14/100.38 Found (x1 (a1 S)) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 100.14/100.38 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found a10:=(a1 W):((rel_s4 W) W)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 100.14/100.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found x3:(((rel_s4 W) V0)->False)
% 108.50/108.76 Instantiate: V0:=V00:fofType
% 108.50/108.76 Found x3 as proof of (((rel_s4 V) V00)->False)
% 108.50/108.76 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 108.50/108.76 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 108.50/108.76 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 108.50/108.76 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 108.50/108.76 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 108.50/108.76 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)))
% 108.50/108.76 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)))
% 108.50/108.76 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)))
% 108.50/108.76 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 108.50/108.76 Found (or_introl0 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 108.50/108.76 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 108.50/108.76 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 108.50/108.76 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 108.50/108.76 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 108.50/108.76 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 108.50/108.76 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)))
% 108.50/108.76 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)))
% 108.50/108.76 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)))
% 108.50/108.76 Found x3:(((rel_s4 W) V0)->False)
% 108.50/108.76 Instantiate: V0:=V00:fofType
% 108.50/108.76 Found x3 as proof of (((rel_s4 V) V00)->False)
% 108.50/108.76 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 108.50/108.76 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 108.50/108.76 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 108.50/108.76 Found a10:=(a1 W):((rel_s4 W) W)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found a10:=(a1 W):((rel_s4 W) W)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found (a1 W) as proof of ((rel_s4 W) V0)
% 108.50/108.76 Found x2:((rel_s4 V) V0)
% 108.50/108.76 Instantiate: V1:=V0:fofType;V:=W:fofType
% 108.50/108.76 Found x2 as proof of ((rel_s4 W) V1)
% 108.50/108.76 Found (x4 x2) as proof of False
% 108.50/108.76 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 108.50/108.76 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 108.50/108.76 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 112.59/112.81 Found (or_introl0 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 112.59/112.81 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 112.59/112.81 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 112.59/112.81 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 112.59/112.81 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 112.59/112.81 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)))
% 112.59/112.81 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)))
% 112.59/112.81 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)))
% 112.59/112.81 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 112.59/112.81 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 112.59/112.81 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)))
% 112.59/112.81 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)))
% 112.59/112.81 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)))
% 112.59/112.81 Found x2:((rel_s4 V) V0)
% 112.59/112.81 Instantiate: V1:=V0:fofType;V:=W:fofType
% 112.59/112.81 Found x2 as proof of ((rel_s4 W) V1)
% 112.59/112.81 Found (x4 x2) as proof of False
% 112.59/112.81 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 112.59/112.81 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 112.59/112.81 Found a10:=(a1 W):((rel_s4 W) W)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found a10:=(a1 W):((rel_s4 W) W)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found (a1 W) as proof of ((rel_s4 W) V0)
% 112.59/112.81 Found x2:((rel_s4 V) V0)
% 112.59/112.81 Instantiate: V1:=V0:fofType
% 112.59/112.81 Found x2 as proof of ((rel_s4 W) V1)
% 112.59/112.81 Found (x4 x2) as proof of False
% 112.59/112.81 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 112.59/112.81 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 112.59/112.81 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 112.59/112.81 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 112.59/112.81 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 112.59/112.81 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 115.91/116.19 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 115.91/116.19 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 115.91/116.19 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 115.91/116.19 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 115.91/116.19 Found (or_introl0 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 115.91/116.19 Found x2:((rel_s4 V) V0)
% 115.91/116.19 Instantiate: V1:=V0:fofType
% 115.91/116.19 Found x2 as proof of ((rel_s4 W) V1)
% 115.91/116.19 Found (x4 x2) as proof of False
% 115.91/116.19 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 115.91/116.19 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 115.91/116.19 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 115.91/116.19 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 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)))
% 115.91/116.19 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 115.91/116.19 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 115.91/116.19 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 122.14/122.43 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 122.14/122.43 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 Found a10:=(a1 W):((rel_s4 W) W)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (x5 (a1 W)) as proof of False
% 122.14/122.43 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 122.14/122.43 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 122.14/122.43 Found a10:=(a1 W):((rel_s4 W) W)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (a1 W) as proof of ((rel_s4 W) V1)
% 122.14/122.43 Found (x5 (a1 W)) as proof of False
% 122.14/122.43 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 122.14/122.43 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 122.14/122.43 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 122.14/122.43 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 122.14/122.43 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 122.14/122.43 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 122.14/122.43 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 122.14/122.43 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 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)))
% 122.14/122.43 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 122.14/122.43 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 123.81/124.05 Found (or_introl0 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 123.81/124.05 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 123.81/124.05 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 123.81/124.05 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 123.81/124.05 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 123.81/124.05 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 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)))
% 123.81/124.05 Found a10:=(a1 W):((rel_s4 W) W)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (x5 (a1 W)) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 123.81/124.05 Found a10:=(a1 W):((rel_s4 W) W)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (x5 (a1 W)) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 123.81/124.05 Found a10:=(a1 W):((rel_s4 W) W)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (a1 W) as proof of ((rel_s4 W) V1)
% 123.81/124.05 Found (x5 (a1 W)) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 123.81/124.05 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.19/131.44 Found a10:=(a1 W):((rel_s4 W) W)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (x5 (a1 W)) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.19/131.44 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 131.19/131.44 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 131.19/131.44 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 131.19/131.44 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)))
% 131.19/131.44 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)))
% 131.19/131.44 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)))
% 131.19/131.44 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)))
% 131.19/131.44 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 131.19/131.44 Found (or_introl0 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 131.19/131.44 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 S) V1)->False)))
% 131.19/131.44 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 131.19/131.44 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 131.19/131.44 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 131.19/131.44 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 131.19/131.44 Found a10:=(a1 W):((rel_s4 W) W)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (x5 (a1 W)) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.19/131.44 Found a10:=(a1 W):((rel_s4 W) W)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.19/131.44 Found (x5 (a1 W)) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.19/131.44 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.19/131.44 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 131.19/131.44 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)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 Found a10:=(a1 W):((rel_s4 W) W)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (x4 (a1 W)) as proof of False
% 138.51/138.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 138.51/138.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 138.51/138.80 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 138.51/138.80 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 138.51/138.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 138.51/138.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 138.51/138.80 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 138.51/138.80 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 138.51/138.80 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 138.51/138.80 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 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)))
% 138.51/138.80 Found a10:=(a1 S):((rel_s4 S) S)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (x3 (a1 S)) as proof of False
% 138.51/138.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 138.51/138.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.51/138.80 Found a10:=(a1 W):((rel_s4 W) W)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 138.51/138.80 Found (x4 (a1 W)) as proof of False
% 138.51/138.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 138.51/138.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 138.51/138.80 Found a10:=(a1 S):((rel_s4 S) S)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.51/138.80 Found (x3 (a1 S)) as proof of False
% 138.51/138.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 138.51/138.80 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.51/138.80 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 143.04/143.35 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found a10:=(a1 W):((rel_s4 W) W)
% 143.04/143.35 Found (a1 W) as proof of ((rel_s4 W) V1)
% 143.04/143.35 Found (a1 W) as proof of ((rel_s4 W) V1)
% 143.04/143.35 Found (a1 W) as proof of ((rel_s4 W) V1)
% 143.04/143.35 Found (x3 (a1 W)) as proof of False
% 143.04/143.35 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 143.04/143.35 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 143.04/143.35 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))
% 143.04/143.35 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 143.04/143.35 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 143.04/143.35 Found a10:=(a1 S):((rel_s4 S) S)
% 143.04/143.35 Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.04/143.35 Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.04/143.35 Found (a1 S) as proof of ((rel_s4 S) V0)
% 143.04/143.35 Found (x3 (a1 S)) as proof of False
% 143.04/143.35 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 143.04/143.35 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 143.04/143.35 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 S) V1)->False)))
% 143.04/143.35 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 143.04/143.35 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 143.04/143.35 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 143.04/143.35 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 143.04/143.35 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 143.04/143.35 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 143.04/143.35 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 143.04/143.35 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)))
% 143.04/143.35 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)))
% 143.04/143.35 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)))
% 143.04/143.35 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 143.04/143.35 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)))
% 143.04/143.35 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)))
% 143.04/143.35 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)))
% 150.68/150.95 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)))
% 150.68/150.95 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)))
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 150.68/150.95 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 150.68/150.95 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)))
% 150.68/150.95 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)))
% 150.68/150.95 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)))
% 150.68/150.95 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)))
% 150.68/150.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 150.68/150.95 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 150.68/150.95 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 150.68/150.95 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 150.68/150.95 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 150.68/150.95 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (x3 (a1 S)) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (x3 (a1 S)) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (x3 (a1 S)) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 150.68/150.95 Found a10:=(a1 W):((rel_s4 W) W)
% 150.68/150.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 150.68/150.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 150.68/150.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 150.68/150.95 Found (x3 (a1 W)) as proof of False
% 150.68/150.95 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 150.68/150.95 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 150.68/150.95 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))
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found a10:=(a1 S):((rel_s4 S) S)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 150.68/150.95 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found a10:=(a1 S):((rel_s4 S) S)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (x3 (a1 S)) as proof of False
% 162.20/162.48 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 162.20/162.48 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 162.20/162.48 Found a10:=(a1 S):((rel_s4 S) S)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 162.20/162.48 Found (x3 (a1 S)) as proof of False
% 162.20/162.48 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 162.20/162.48 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 162.20/162.48 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V0)))
% 162.20/162.48 Found (or_introl1 (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 162.20/162.48 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 162.20/162.48 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 162.20/162.48 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 162.20/162.48 Found ((or_introl (((rel_s4 S) V1)->False)) (p V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 162.20/162.48 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 W) V1)->False)))
% 162.20/162.48 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 162.20/162.48 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 162.20/162.48 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 162.20/162.48 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 162.20/162.48 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V0)))
% 162.20/162.48 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 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)))
% 162.20/162.48 Found x3:(((rel_s4 S) V0)->False)
% 162.20/162.48 Instantiate: V0:=V00:fofType;V:=S:fofType
% 162.20/162.48 Found x3 as proof of (((rel_s4 V) V00)->False)
% 162.20/162.48 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 162.20/162.48 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 162.20/162.48 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 162.20/162.48 Found a10:=(a1 S):((rel_s4 S) S)
% 162.20/162.48 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found a10:=(a1 S):((rel_s4 S) S)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found a10:=(a1 S):((rel_s4 S) S)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (x1 (a1 S)) as proof of False
% 171.65/171.98 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 171.65/171.98 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 171.65/171.98 Found x3:(((rel_s4 S) V0)->False)
% 171.65/171.98 Instantiate: V0:=V00:fofType;V:=S:fofType
% 171.65/171.98 Found x3 as proof of (((rel_s4 V) V00)->False)
% 171.65/171.98 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found x3:(((rel_s4 S) V0)->False)
% 171.65/171.98 Instantiate: V0:=V00:fofType
% 171.65/171.98 Found x3 as proof of (((rel_s4 V) V00)->False)
% 171.65/171.98 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 171.65/171.98 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 171.65/171.98 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 171.65/171.98 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 W) V1)->False)))
% 171.65/171.98 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 171.65/171.98 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 171.65/171.98 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 171.65/171.98 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 171.65/171.98 Found ((or_intror (p V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 171.65/171.98 Found a10:=(a1 W):((rel_s4 W) W)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found a10:=(a1 W):((rel_s4 W) W)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.65/171.98 Found a10:=(a1 S):((rel_s4 S) S)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V)
% 171.65/171.98 Found (x1 (a1 S)) as proof of False
% 171.65/171.98 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 171.65/171.98 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 171.65/171.98 Found a10:=(a1 S):((rel_s4 S) S)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found a10:=(a1 S):((rel_s4 S) S)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.65/171.98 Found x3:(((rel_s4 S) V0)->False)
% 171.65/171.98 Instantiate: V0:=V00:fofType
% 171.65/171.98 Found x3 as proof of (((rel_s4 V) V00)->False)
% 171.65/171.98 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 171.65/171.98 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot p) V0)) (((rel_s4 W) V1)->False)))
% 171.65/171.98 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)))
% 171.65/171.98 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)))
% 171.65/171.98 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)))
% 176.78/177.14 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)))
% 176.78/177.14 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)))
% 176.78/177.14 Found a10:=(a1 S):((rel_s4 S) S)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found a10:=(a1 S):((rel_s4 S) S)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found (a1 S) as proof of ((rel_s4 S) V0)
% 176.78/177.14 Found x2:((rel_s4 V) V0)
% 176.78/177.14 Instantiate: V1:=V0:fofType;V:=S:fofType
% 176.78/177.14 Found x2 as proof of ((rel_s4 S) V1)
% 176.78/177.14 Found (x4 x2) as proof of False
% 176.78/177.14 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 176.78/177.14 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 176.78/177.14 Found a10:=(a1 W):((rel_s4 W) W)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found a10:=(a1 W):((rel_s4 W) W)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found a10:=(a1 W):((rel_s4 W) W)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 176.78/177.14 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 176.78/177.14 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)))
% 176.78/177.14 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)))
% 176.78/177.14 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)))
% 176.78/177.14 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V00)))
% 176.78/177.14 Found (or_introl0 (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 176.78/177.14 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V1)))
% 176.78/177.14 Found (or_introl0 (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 176.78/177.14 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 176.78/177.14 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 176.78/177.14 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 176.78/177.14 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)))
% 176.78/177.14 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)))
% 176.78/177.14 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)))
% 176.78/177.14 Found a10:=(a1 W):((rel_s4 W) W)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 176.78/177.14 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found a10:=(a1 W):((rel_s4 W) W)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found x2:((rel_s4 V) V0)
% 184.95/185.28 Instantiate: V1:=V0:fofType;V:=S:fofType
% 184.95/185.28 Found x2 as proof of ((rel_s4 S) V1)
% 184.95/185.28 Found (x4 x2) as proof of False
% 184.95/185.28 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 184.95/185.28 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 184.95/185.28 Found a10:=(a1 W):((rel_s4 W) W)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (x3 (a1 W)) as proof of False
% 184.95/185.28 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 184.95/185.28 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 184.95/185.28 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 184.95/185.28 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))
% 184.95/185.28 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))
% 184.95/185.28 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))
% 184.95/185.28 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)))
% 184.95/185.28 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)
% 184.95/185.28 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))
% 184.95/185.28 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 184.95/185.28 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 184.95/185.28 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 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)))
% 184.95/185.28 Found a10:=(a1 W):((rel_s4 W) W)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found (a1 W) as proof of ((rel_s4 W) V0)
% 184.95/185.28 Found a10:=(a1 S):((rel_s4 S) S)
% 184.95/185.28 Found (a1 S) as proof of ((rel_s4 S) V0)
% 184.95/185.28 Found (a1 S) as proof of ((rel_s4 S) V0)
% 184.95/185.28 Found (a1 S) as proof of ((rel_s4 S) V0)
% 184.95/185.28 Found a10:=(a1 S):((rel_s4 S) S)
% 184.95/185.28 Found (a1 S) as proof of ((rel_s4 S) V0)
% 184.95/185.28 Found (a1 S) as proof of ((rel_s4 S) V0)
% 190.85/191.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 190.85/191.16 Found x2:((rel_s4 V) V0)
% 190.85/191.16 Instantiate: V1:=V0:fofType
% 190.85/191.16 Found x2 as proof of ((rel_s4 S) V1)
% 190.85/191.16 Found (x4 x2) as proof of False
% 190.85/191.16 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 190.85/191.16 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 190.85/191.16 Found a10:=(a1 W):((rel_s4 W) W)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V00)))
% 190.85/191.16 Found (or_introl0 (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 190.85/191.16 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 190.85/191.16 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 190.85/191.16 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)))
% 190.85/191.16 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)))
% 190.85/191.16 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)))
% 190.85/191.16 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 190.85/191.16 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 190.85/191.16 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)))
% 190.85/191.16 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)))
% 190.85/191.16 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)))
% 190.85/191.16 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V1)))
% 190.85/191.16 Found (or_introl0 (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.85/191.16 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 190.85/191.16 Found a10:=(a1 W):((rel_s4 W) W)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found a10:=(a1 W):((rel_s4 W) W)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found x2:((rel_s4 V) V0)
% 190.85/191.16 Instantiate: V1:=V0:fofType
% 190.85/191.16 Found x2 as proof of ((rel_s4 S) V1)
% 190.85/191.16 Found (x4 x2) as proof of False
% 190.85/191.16 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 190.85/191.16 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 190.85/191.16 Found a10:=(a1 W):((rel_s4 W) W)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 190.85/191.16 Found (x3 (a1 W)) as proof of False
% 190.85/191.16 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 190.85/191.16 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 190.85/191.16 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 195.65/195.98 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))
% 195.65/195.98 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))
% 195.65/195.98 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))
% 195.65/195.98 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)))
% 195.65/195.98 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)
% 195.65/195.98 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))
% 195.65/195.98 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 195.65/195.98 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 195.65/195.98 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 Found a10:=(a1 W):((rel_s4 W) W)
% 195.65/195.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 195.65/195.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 195.65/195.98 Found (a1 W) as proof of ((rel_s4 W) V0)
% 195.65/195.98 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V0)))
% 195.65/195.98 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 195.65/195.98 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 195.65/195.98 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 195.65/195.98 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 195.65/195.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 195.65/195.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 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)))
% 195.65/195.98 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 195.65/195.98 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 199.97/200.30 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)))
% 199.97/200.30 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)))
% 199.97/200.30 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)))
% 199.97/200.30 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V0)))
% 199.97/200.30 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 199.97/200.30 Found x3:(((rel_s4 W) V0)->False)
% 199.97/200.30 Instantiate: V0:=V00:fofType;V:=W:fofType
% 199.97/200.30 Found x3 as proof of (((rel_s4 V) V00)->False)
% 199.97/200.30 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 199.97/200.30 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 199.97/200.30 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 199.97/200.30 Found a10:=(a1 W):((rel_s4 W) W)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found a10:=(a1 W):((rel_s4 W) W)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.97/200.30 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V1)))
% 199.97/200.30 Found (or_introl0 (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 199.97/200.30 Found a10:=(a1 S):((rel_s4 S) S)
% 199.97/200.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.97/200.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.97/200.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.97/200.30 Found (x5 (a1 S)) as proof of False
% 199.97/200.30 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 199.97/200.30 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 199.97/200.30 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 199.97/200.30 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 199.97/200.30 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)))
% 199.97/200.30 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)))
% 199.97/200.30 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)))
% 199.97/200.30 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)))
% 199.97/200.30 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V00)))
% 199.97/200.30 Found (or_introl0 (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 199.97/200.30 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 206.98/207.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 206.98/207.35 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 206.98/207.35 Found a10:=(a1 S):((rel_s4 S) S)
% 206.98/207.35 Found (a1 S) as proof of ((rel_s4 S) V1)
% 206.98/207.35 Found (a1 S) as proof of ((rel_s4 S) V1)
% 206.98/207.35 Found (a1 S) as proof of ((rel_s4 S) V1)
% 206.98/207.35 Found (x5 (a1 S)) as proof of False
% 206.98/207.35 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 206.98/207.35 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 206.98/207.35 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 206.98/207.35 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 206.98/207.35 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)))
% 206.98/207.35 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)))
% 206.98/207.35 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)))
% 206.98/207.35 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)))
% 206.98/207.35 Found x2:((rel_s4 V) V0)
% 206.98/207.35 Instantiate: V1:=V0:fofType;V:=W:fofType
% 206.98/207.35 Found x2 as proof of ((rel_s4 W) V1)
% 206.98/207.35 Found (x4 x2) as proof of False
% 206.98/207.35 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 206.98/207.35 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 206.98/207.35 Found x3:(((rel_s4 W) V0)->False)
% 206.98/207.35 Instantiate: V0:=V00:fofType;V:=W:fofType
% 206.98/207.35 Found x3 as proof of (((rel_s4 V) V00)->False)
% 206.98/207.35 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 206.98/207.35 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 206.98/207.35 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 206.98/207.35 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V0)))
% 206.98/207.35 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 206.98/207.35 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 206.98/207.35 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 206.98/207.35 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 206.98/207.35 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 206.98/207.35 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 206.98/207.35 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)))
% 206.98/207.35 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)))
% 206.98/207.35 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)))
% 206.98/207.35 Found x3:(((rel_s4 W) V0)->False)
% 206.98/207.35 Instantiate: V0:=V00:fofType
% 206.98/207.35 Found x3 as proof of (((rel_s4 V) V00)->False)
% 206.98/207.35 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 206.98/207.35 Found ((or_introl1 (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 206.98/207.35 Found (((or_introl (((rel_s4 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 206.98/207.35 Found x2:((rel_s4 V) V0)
% 206.98/207.35 Instantiate: V1:=V0:fofType;V:=W:fofType
% 206.98/207.35 Found x2 as proof of ((rel_s4 W) V1)
% 206.98/207.35 Found (x4 x2) as proof of False
% 209.77/210.13 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 209.77/210.13 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 209.77/210.13 Found a10:=(a1 W):((rel_s4 W) W)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found a10:=(a1 W):((rel_s4 W) W)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found a10:=(a1 W):((rel_s4 W) W)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 W) V2)->False)))
% 209.77/210.13 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 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)))
% 209.77/210.13 Found a10:=(a1 W):((rel_s4 W) W)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 W) V2)->False)))
% 209.77/210.13 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 209.77/210.13 Found a10:=(a1 W):((rel_s4 W) W)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found (a1 W) as proof of ((rel_s4 W) V0)
% 209.77/210.13 Found or_introl00:=(or_introl0 (p V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V1)))
% 209.77/210.13 Found (or_introl0 (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 209.77/210.13 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 209.77/210.13 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V2)->False)) (p V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 211.53/211.87 Found a10:=(a1 S):((rel_s4 S) S)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (x5 (a1 S)) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 211.53/211.87 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) (p V00)))
% 211.53/211.87 Found (or_introl0 (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 211.53/211.87 Found ((or_introl (((rel_s4 S) V1)->False)) (p V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 211.53/211.87 Found a10:=(a1 S):((rel_s4 S) S)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (x5 (a1 S)) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 211.53/211.87 Found a10:=(a1 S):((rel_s4 S) S)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (x5 (a1 S)) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 211.53/211.87 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 211.53/211.87 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V1)))
% 211.53/211.87 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 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)))
% 211.53/211.87 Found a10:=(a1 S):((rel_s4 S) S)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.53/211.87 Found (x5 (a1 S)) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 211.53/211.87 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 217.06/217.40 Found x2:((rel_s4 V) V0)
% 217.06/217.40 Instantiate: V1:=V0:fofType
% 217.06/217.40 Found x2 as proof of ((rel_s4 W) V1)
% 217.06/217.40 Found (x4 x2) as proof of False
% 217.06/217.40 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 217.06/217.40 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 217.06/217.40 Found x3:(((rel_s4 W) V0)->False)
% 217.06/217.40 Instantiate: V0:=V00:fofType
% 217.06/217.40 Found x3 as proof of (((rel_s4 V) V00)->False)
% 217.06/217.40 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 217.06/217.40 Found ((or_introl0 ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 217.06/217.40 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 217.06/217.40 Found a10:=(a1 W):((rel_s4 W) W)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found a10:=(a1 S):((rel_s4 S) S)
% 217.06/217.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 217.06/217.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 217.06/217.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 217.06/217.40 Found (x4 (a1 S)) as proof of False
% 217.06/217.40 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 217.06/217.40 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 217.06/217.40 Found a10:=(a1 W):((rel_s4 W) W)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found a10:=(a1 W):((rel_s4 W) W)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 217.06/217.40 Found or_introl00:=(or_introl0 (p V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) (p V0)))
% 217.06/217.40 Found (or_introl0 (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 217.06/217.40 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 217.06/217.40 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 217.06/217.40 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 217.06/217.40 Found ((or_introl (((rel_s4 S) V2)->False)) (p V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 217.06/217.40 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot p) V0)))
% 217.06/217.40 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 217.06/217.40 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)))
% 217.06/217.40 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)))
% 217.06/217.40 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)))
% 217.06/217.40 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)))
% 217.06/217.40 Found x3:(((rel_s4 W) V0)->False)
% 217.06/217.40 Instantiate: V0:=V00:fofType;V:=W:fofType
% 217.06/217.40 Found x3 as proof of (((rel_s4 V) V00)->False)
% 217.06/217.40 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 217.06/217.40 Found ((or_intror1 (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 217.06/217.40 Found (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 217.06/217.40 Found (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 217.06/217.40 Found (or_comm_i00 (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 217.06/217.40 Found ((or_comm_i0 (((rel_s4 V) V00)->False)) (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 217.06/217.40 Found (((or_comm_i (p V00)) (((rel_s4 V) V00)->False)) (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 224.81/225.21 Found x2:((rel_s4 V) V0)
% 224.81/225.21 Instantiate: V1:=V0:fofType
% 224.81/225.21 Found x2 as proof of ((rel_s4 W) V1)
% 224.81/225.21 Found (x4 x2) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 W) V2)->False)))
% 224.81/225.21 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 224.81/225.21 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 224.81/225.21 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 224.81/225.21 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 224.81/225.21 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 224.81/225.21 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)))
% 224.81/225.21 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)))
% 224.81/225.21 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)))
% 224.81/225.21 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)))
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found a10:=(a1 S):((rel_s4 S) S)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (x5 (a1 S)) as proof of False
% 224.81/225.21 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 224.81/225.21 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 224.81/225.21 Found a10:=(a1 S):((rel_s4 S) S)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (x5 (a1 S)) as proof of False
% 224.81/225.21 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 224.81/225.21 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found x2:((rel_s4 V) V0)
% 224.81/225.21 Instantiate: V1:=V0:fofType;V:=W:fofType
% 224.81/225.21 Found x2 as proof of ((rel_s4 W) V1)
% 224.81/225.21 Found (x4 x2) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found a10:=(a1 S):((rel_s4 S) S)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (a1 S) as proof of ((rel_s4 S) V1)
% 224.81/225.21 Found (x4 (a1 S)) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 224.81/225.21 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found a10:=(a1 W):((rel_s4 W) W)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 224.81/225.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 229.99/230.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 229.99/230.40 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 229.99/230.40 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found x3:(((rel_s4 W) V0)->False)
% 229.99/230.40 Instantiate: V0:=V00:fofType
% 229.99/230.40 Found x3 as proof of (((rel_s4 V) V00)->False)
% 229.99/230.40 Found (or_intror10 x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 229.99/230.40 Found ((or_intror1 (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 229.99/230.40 Found (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 229.99/230.40 Found (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3) as proof of ((or (p V00)) (((rel_s4 V) V00)->False))
% 229.99/230.40 Found (or_comm_i00 (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 229.99/230.40 Found ((or_comm_i0 (((rel_s4 V) V00)->False)) (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 229.99/230.40 Found (((or_comm_i (p V00)) (((rel_s4 V) V00)->False)) (((or_intror (p V00)) (((rel_s4 V) V00)->False)) x3)) as proof of ((or (((rel_s4 V) V00)->False)) (p V00))
% 229.99/230.40 Found x2:((rel_s4 V) V0)
% 229.99/230.40 Instantiate: V1:=V0:fofType;V:=W:fofType
% 229.99/230.40 Found x2 as proof of ((rel_s4 W) V1)
% 229.99/230.40 Found (x4 x2) as proof of False
% 229.99/230.40 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 229.99/230.40 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 229.99/230.40 Found a10:=(a1 S):((rel_s4 S) S)
% 229.99/230.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 229.99/230.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 229.99/230.40 Found (a1 S) as proof of ((rel_s4 S) V1)
% 229.99/230.40 Found (x3 (a1 S)) as proof of False
% 229.99/230.40 Found (fun (x4:(p V0))=> (x3 (a1 S))) as proof of False
% 229.99/230.40 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((mnot p) V0)
% 229.99/230.40 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))
% 229.99/230.40 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 229.99/230.40 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 229.99/230.40 Found a10:=(a1 W):((rel_s4 W) W)
% 229.99/230.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 229.99/230.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 229.99/230.40 Found (a1 W) as proof of ((rel_s4 W) V0)
% 229.99/230.40 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot p) V0)) (((rel_s4 W) V2)->False)))
% 229.99/230.40 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)))
% 229.99/230.40 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)))
% 229.99/230.40 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)))
% 229.99/230.40 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)))
% 229.99/230.40 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)))
% 229.99/230.40 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 W) V2)->False)))
% 236.03/236.38 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 236.03/236.38 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 236.03/236.38 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 236.03/236.38 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 236.03/236.38 Found ((or_intror (p V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 236.03/236.38 Found x2:((rel_s4 V) V0)
% 236.03/236.38 Instantiate: V1:=V0:fofType
% 236.03/236.38 Found x2 as proof of ((rel_s4 W) V1)
% 236.03/236.38 Found (x4 x2) as proof of False
% 236.03/236.38 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 236.03/236.38 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 236.03/236.38 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 236.03/236.38 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 236.03/236.38 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)))
% 236.03/236.38 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)))
% 236.03/236.38 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)))
% 236.03/236.38 Found or_introl10:=(or_introl1 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 236.03/236.38 Found (or_introl1 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 236.03/236.38 Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 236.03/236.38 Found (or_introl1 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 236.03/236.38 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 236.03/236.38 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 236.03/236.38 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 236.03/236.38 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)))
% 236.03/236.38 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)))
% 236.03/236.38 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)))
% 236.03/236.38 Found a10:=(a1 S):((rel_s4 S) S)
% 236.03/236.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 236.03/236.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 236.03/236.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 236.03/236.38 Found (x3 (a1 S)) as proof of False
% 236.03/236.38 Found (fun (x4:(p V0))=> (x3 (a1 S))) as proof of False
% 236.03/236.38 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(p V0))=> (x3 (a1 S))) as proof of ((mnot p) V0)
% 236.03/236.38 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))
% 236.03/236.38 Found x2:((rel_s4 V) V0)
% 236.03/236.38 Instantiate: V1:=V0:fofType
% 236.03/236.38 Found x2 as proof of ((rel_s4 W) V1)
% 245.52/245.90 Found (x4 x2) as proof of False
% 245.52/245.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 245.52/245.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 245.52/245.90 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 245.52/245.90 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 245.52/245.90 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 Found or_introl10:=(or_introl1 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 245.52/245.90 Found (or_introl1 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 245.52/245.90 Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 245.52/245.90 Found (or_introl1 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 245.52/245.90 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 245.52/245.90 Found a10:=(a1 W):((rel_s4 W) W)
% 245.52/245.90 Found (a1 W) as proof of ((rel_s4 W) V1)
% 245.52/245.90 Found (a1 W) as proof of ((rel_s4 W) V1)
% 245.52/245.90 Found (a1 W) as proof of ((rel_s4 W) V1)
% 245.52/245.90 Found (x4 (a1 W)) as proof of False
% 245.52/245.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 245.52/245.90 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 245.52/245.90 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 245.52/245.90 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 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)))
% 245.52/245.90 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 245.52/245.90 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 252.54/252.95 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)))
% 252.54/252.95 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)))
% 252.54/252.95 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)))
% 252.54/252.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 252.54/252.95 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 252.54/252.95 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 252.54/252.95 Found a10:=(a1 W):((rel_s4 W) W)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V0)
% 252.54/252.95 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 S) V1)->False)))
% 252.54/252.95 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 252.54/252.95 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 252.54/252.95 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 252.54/252.95 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 252.54/252.95 Found a10:=(a1 W):((rel_s4 W) W)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (x4 (a1 W)) as proof of False
% 252.54/252.95 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 252.54/252.95 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 252.54/252.95 Found a10:=(a1 W):((rel_s4 W) W)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (x5 (a1 W)) as proof of False
% 252.54/252.95 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 252.54/252.95 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 252.54/252.95 Found a10:=(a1 W):((rel_s4 W) W)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (x5 (a1 W)) as proof of False
% 252.54/252.95 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 252.54/252.95 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 252.54/252.95 Found a10:=(a1 W):((rel_s4 W) W)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (a1 W) as proof of ((rel_s4 W) V1)
% 252.54/252.95 Found (x3 (a1 W)) as proof of False
% 252.54/252.95 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 252.54/252.95 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 252.54/252.95 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))
% 252.54/252.95 Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 254.59/254.95 Found (or_introl1 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 254.59/254.95 Found or_introl10:=(or_introl1 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 254.59/254.95 Found (or_introl1 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 254.59/254.95 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 254.59/254.95 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 254.59/254.95 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 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)))
% 254.59/254.95 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 254.59/254.95 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 254.59/254.95 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 261.24/261.60 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 261.24/261.60 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 261.24/261.60 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)))
% 261.24/261.60 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)))
% 261.24/261.60 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)))
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V0)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V0)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V0)
% 261.24/261.60 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 261.24/261.60 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (x4 (a1 W)) as proof of False
% 261.24/261.60 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 261.24/261.60 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 261.24/261.60 Found or_introl00:=(or_introl0 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 261.24/261.60 Found (or_introl0 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (x5 (a1 W)) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (x5 (a1 W)) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 261.24/261.60 Found (x5 (a1 W)) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 261.24/261.60 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 261.24/261.60 Found a10:=(a1 W):((rel_s4 W) W)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (x5 (a1 W)) as proof of False
% 265.88/266.34 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 265.88/266.34 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 265.88/266.34 Found or_introl10:=(or_introl1 (p V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V1)))
% 265.88/266.34 Found (or_introl1 (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V2)->False)) (p V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) (p V1)))
% 265.88/266.34 Found or_introl10:=(or_introl1 (p V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) (p V00)))
% 265.88/266.34 Found (or_introl1 (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 265.88/266.34 Found ((or_introl (((rel_s4 W) V1)->False)) (p V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) (p V00)))
% 265.88/266.34 Found or_introl00:=(or_introl0 ((mnot p) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot p) V00)))
% 265.88/266.34 Found (or_introl0 ((mnot p) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 Found or_introl00:=(or_introl0 ((mnot p) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V1)))
% 265.88/266.34 Found (or_introl0 ((mnot p) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot p) V1)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 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)))
% 265.88/266.34 Found a10:=(a1 W):((rel_s4 W) W)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (a1 W) as proof of ((rel_s4 W) V1)
% 265.88/266.34 Found (x3 (a1 W)) as proof of False
% 265.88/266.34 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 265.88/266.34 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 265.88/266.34 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))
% 265.88/266.34 Found or_introl10:=(or_introl1 (p V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) (p V0)))
% 265.88/266.34 Found (or_introl1 (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 273.10/273.49 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 273.10/273.49 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 273.10/273.49 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 273.10/273.49 Found ((or_introl (((rel_s4 W) V2)->False)) (p V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) (p V0)))
% 273.10/273.49 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot p) V0)))
% 273.10/273.49 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot p) V0)))
% 273.10/273.49 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)))
% 273.10/273.49 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)))
% 273.10/273.49 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)))
% 273.10/273.49 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)))
% 273.10/273.49 Found a10:=(a1 W):((rel_s4 W) W)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (x4 (a1 W)) as proof of False
% 273.10/273.49 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 273.10/273.49 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 273.10/273.49 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 S) V1)->False)))
% 273.10/273.49 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 273.10/273.49 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 273.10/273.49 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 273.10/273.49 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 273.10/273.49 Found ((or_intror (p V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or (p V0)) (((rel_s4 V) V0)->False)))
% 273.10/273.49 Found a10:=(a1 W):((rel_s4 W) W)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (x5 (a1 W)) as proof of False
% 273.10/273.49 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 273.10/273.49 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 273.10/273.49 Found a10:=(a1 W):((rel_s4 W) W)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (x5 (a1 W)) as proof of False
% 273.10/273.49 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 273.10/273.49 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 273.10/273.49 Found a10:=(a1 W):((rel_s4 W) W)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.10/273.49 Found (x3 (a1 W)) as proof of False
% 273.10/273.49 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 273.10/273.49 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 273.10/273.49 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))
% 273.10/273.49 Found a10:=(a1 S):((rel_s4 S) S)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found a10:=(a1 S):((rel_s4 S) S)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.10/273.49 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot p) V0)) (((rel_s4 S) V1)->False)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 280.51/280.96 Found a10:=(a1 W):((rel_s4 W) W)
% 280.51/280.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.51/280.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.51/280.96 Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.51/280.96 Found (x3 (a1 W)) as proof of False
% 280.51/280.96 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 280.51/280.96 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 280.51/280.96 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))
% 280.51/280.96 Found a10:=(a1 S):((rel_s4 S) S)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found a10:=(a1 S):((rel_s4 S) S)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found a10:=(a1 S):((rel_s4 S) S)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found x4:((rel_s4 V) V0)
% 280.51/280.96 Instantiate: V2:=V0:fofType;V:=W:fofType
% 280.51/280.96 Found x4 as proof of ((rel_s4 W) V2)
% 280.51/280.96 Found (x6 x4) as proof of False
% 280.51/280.96 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 280.51/280.96 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 280.51/280.96 Found a10:=(a1 S):((rel_s4 S) S)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.51/280.96 Found (x3 (a1 S)) as proof of False
% 280.51/280.96 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of False
% 280.51/280.96 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of ((mnot p) V00)
% 280.51/280.96 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 280.51/280.96 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))
% 280.51/280.96 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))
% 280.51/280.96 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))
% 280.51/280.96 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)))
% 280.51/280.96 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)
% 280.51/280.96 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))
% 280.51/280.96 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 280.51/280.96 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 280.51/280.96 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)))
% 291.81/292.19 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)))
% 291.81/292.19 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 291.81/292.19 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 291.81/292.19 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)))
% 291.81/292.19 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)))
% 291.81/292.19 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)))
% 291.81/292.19 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)))
% 291.81/292.19 Found x4:((rel_s4 V) V0)
% 291.81/292.19 Instantiate: V2:=V0:fofType;V:=W:fofType
% 291.81/292.19 Found x4 as proof of ((rel_s4 W) V2)
% 291.81/292.19 Found (x6 x4) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 291.81/292.19 Found a10:=(a1 S):((rel_s4 S) S)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found a10:=(a1 S):((rel_s4 S) S)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found x4:((rel_s4 V) V0)
% 291.81/292.19 Instantiate: V2:=V0:fofType
% 291.81/292.19 Found x4 as proof of ((rel_s4 W) V2)
% 291.81/292.19 Found (x6 x4) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 291.81/292.19 Found x4:((rel_s4 V) V0)
% 291.81/292.19 Instantiate: V2:=V0:fofType
% 291.81/292.19 Found x4 as proof of ((rel_s4 W) V2)
% 291.81/292.19 Found (x6 x4) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 291.81/292.19 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 291.81/292.19 Found a10:=(a1 S):((rel_s4 S) S)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (a1 S) as proof of ((rel_s4 S) V0)
% 291.81/292.19 Found (x3 (a1 S)) as proof of False
% 291.81/292.19 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of False
% 291.81/292.19 Found (fun (x4:(p V00))=> (x3 (a1 S))) as proof of ((mnot p) V00)
% 291.81/292.19 Found (or_intror00 (fun (x4:(p V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot p) V00))
% 291.81/292.19 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))
% 291.81/292.19 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))
% 291.81/292.19 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))
% 291.81/292.19 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)))
% 291.81/292.19 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)
% 291.81/292.19 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))
% 291.81/292.19 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot p) V00)))
% 291.81/292.19 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot p) V00)))
% 291.81/292.19 Found ((or_introl (((rel_s4 S)
%------------------------------------------------------------------------------