TSTP Solution File: SYO452^6 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO452^6 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 00:51:31 EDT 2022
% Result : Timeout 288.95s 289.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO452^6 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % RAMPerCPU : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Sat Mar 12 19:18:02 EST 2022
% 0.14/0.33 % CPUTime :
% 0.14/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.14/0.34 Python 2.7.5
% 0.47/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.47/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe975a8>, <kernel.Type object at 0xe973b0>) of role type named mu_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mu:Type
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe97560>, <kernel.DependentProduct object at 0xe975a8>) of role type named meq_ind_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.47/0.62 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
% 0.47/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.47/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe975a8>, <kernel.DependentProduct object at 0xe97440>) of role type named meq_prop_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 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
% 0.47/0.62 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))))
% 0.47/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe974d0>, <kernel.DependentProduct object at 0xe97200>) of role type named mnot_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.47/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.47/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe97200>, <kernel.DependentProduct object at 0xe97518>) of role type named mor_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 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
% 0.47/0.62 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))))
% 0.47/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe97518>, <kernel.DependentProduct object at 0xe97248>) of role type named mand_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 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
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.47/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.47/0.62 FOF formula (<kernel.Constant object at 0xe97248>, <kernel.DependentProduct object at 0xe97170>) of role type named mimplies_type
% 0.47/0.62 Using role type
% 0.47/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.62 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
% 0.47/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.47/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xe97200>, <kernel.DependentProduct object at 0xe97560>) of role type named mimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.47/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xe97170>, <kernel.DependentProduct object at 0xd34b48>) of role type named mequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xe97170>, <kernel.DependentProduct object at 0xd342d8>) of role type named mxor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.47/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xd342d8>, <kernel.DependentProduct object at 0xd34b90>) of role type named mforall_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.47/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xd34b90>, <kernel.DependentProduct object at 0xd34cb0>) of role type named mforall_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xd34050>, <kernel.DependentProduct object at 0xd342d8>) of role type named mexists_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 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)))))))
% 0.49/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd34170>, <kernel.DependentProduct object at 0xd0fcf8>) of role type named mexists_prop_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.49/0.64 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
% 0.49/0.64 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)))))))
% 0.49/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd34f38>, <kernel.DependentProduct object at 0xd0fbd8>) of role type named mtrue_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mtrue:(fofType->Prop)
% 0.49/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.49/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.49/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd34050>, <kernel.DependentProduct object at 0xd0fbd8>) of role type named mfalse_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mfalse:(fofType->Prop)
% 0.49/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.49/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.49/0.64 Defined: mfalse:=(mnot mtrue)
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd34050>, <kernel.DependentProduct object at 0xd0fcf8>) of role type named mbox_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.49/0.64 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
% 0.49/0.64 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)))))
% 0.49/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd34170>, <kernel.DependentProduct object at 0xd0fe18>) of role type named mdia_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.49/0.64 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
% 0.49/0.64 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)))))
% 0.49/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd0ff38>, <kernel.DependentProduct object at 0xd0fcf8>) of role type named mreflexive_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.49/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.49/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.49/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0xd0f638>, <kernel.DependentProduct object at 0xd0fd88>) of role type named msymmetric_type
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.65 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)))))
% 0.49/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xd0fcf8>, <kernel.DependentProduct object at 0xd31d40>) of role type named mserial_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.65 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))))))
% 0.49/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xd0ff38>, <kernel.DependentProduct object at 0xd31ea8>) of role type named mtransitive_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.65 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)))))
% 0.49/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xd0ff38>, <kernel.DependentProduct object at 0xd31878>) of role type named meuclidean_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.65 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)))))
% 0.49/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xd0f638>, <kernel.DependentProduct object at 0xd31248>) of role type named mpartially_functional_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.65 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)))))
% 0.49/0.65 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))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0xd31248>, <kernel.DependentProduct object at 0xd31320>) of role type named mfunctional_type
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.49/0.65 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
% 0.49/0.66 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)))))))))
% 0.49/0.66 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))))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0xd31320>, <kernel.DependentProduct object at 0xd31cb0>) of role type named mweakly_dense_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 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
% 0.49/0.66 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)))))))))
% 0.49/0.66 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))))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0xd31998>, <kernel.DependentProduct object at 0xd31cb0>) of role type named mweakly_connected_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 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
% 0.49/0.66 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))))))
% 0.49/0.66 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)))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0xd31368>, <kernel.DependentProduct object at 0xd31cb0>) of role type named mweakly_directed_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.49/0.66 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
% 0.49/0.66 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))))))))
% 0.49/0.66 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)))))))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0xd31d40>, <kernel.DependentProduct object at 0xea0098>) of role type named mvalid_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.49/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.49/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.49/0.66 FOF formula (<kernel.Constant object at 0xd31998>, <kernel.DependentProduct object at 0xea03b0>) of role type named minvalid_type
% 0.49/0.66 Using role type
% 0.49/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.49/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.49/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xea04d0>, <kernel.DependentProduct object at 0xea0638>) of role type named msatisfiable_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.49/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xea03b0>, <kernel.DependentProduct object at 0xea0200>) of role type named mcountersatisfiable_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.49/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.49/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^6.ax, trying next directory
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xe976c8>, <kernel.DependentProduct object at 0xe97128>) of role type named rel_s5_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring rel_s5:(fofType->(fofType->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xe97488>, <kernel.DependentProduct object at 0xe97638>) of role type named mbox_s5_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mbox_s5:((fofType->Prop)->(fofType->Prop))
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))) of role definition named mbox_s5
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s5) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))))
% 0.49/0.67 Defined: mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xe97638>, <kernel.DependentProduct object at 0xe971b8>) of role type named mdia_s5_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring mdia_s5:((fofType->Prop)->(fofType->Prop))
% 0.49/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))) of role definition named mdia_s5
% 0.49/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s5) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))))
% 0.49/0.67 Defined: mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi))))
% 0.49/0.67 FOF formula (mreflexive rel_s5) of role axiom named a1
% 0.49/0.67 A new axiom: (mreflexive rel_s5)
% 0.49/0.67 FOF formula (mtransitive rel_s5) of role axiom named a2
% 0.49/0.67 A new axiom: (mtransitive rel_s5)
% 0.49/0.67 FOF formula (msymmetric rel_s5) of role axiom named a3
% 0.49/0.67 A new axiom: (msymmetric rel_s5)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xe97f80>, <kernel.DependentProduct object at 0xe97c68>) of role type named p_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring p:(fofType->Prop)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0xe97b90>, <kernel.DependentProduct object at 0xe97ea8>) of role type named q_type
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring q:(fofType->Prop)
% 0.49/0.67 FOF formula (mvalid ((mimplies (mdia_s5 ((mand p) (mdia_s5 q)))) ((mimplies (mbox_s5 (mdia_s5 p))) (mdia_s5 (mbox_s5 p))))) of role conjecture named prove
% 0.49/0.67 Conjecture to prove = (mvalid ((mimplies (mdia_s5 ((mand p) (mdia_s5 q)))) ((mimplies (mbox_s5 (mdia_s5 p))) (mdia_s5 (mbox_s5 p))))):Prop
% 0.49/0.67 Parameter mu_DUMMY:mu.
% 0.49/0.67 Parameter fofType_DUMMY:fofType.
% 0.49/0.67 We need to prove ['(mvalid ((mimplies (mdia_s5 ((mand p) (mdia_s5 q)))) ((mimplies (mbox_s5 (mdia_s5 p))) (mdia_s5 (mbox_s5 p)))))']
% 0.49/0.67 Parameter mu:Type.
% 0.49/0.67 Parameter fofType:Type.
% 0.49/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.49/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.49/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.49/0.67 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)).
% 0.49/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.49/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.49/0.67 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))).
% 0.49/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.49/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.49/0.67 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).
% 0.49/0.67 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).
% 0.49/0.67 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).
% 0.49/0.67 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).
% 0.49/0.67 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).
% 0.49/0.67 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).
% 5.40/5.62 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).
% 5.40/5.62 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 5.40/5.62 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 5.40/5.62 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 5.40/5.62 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 5.40/5.62 Parameter rel_s5:(fofType->(fofType->Prop)).
% 5.40/5.62 Definition mbox_s5:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s5 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 5.40/5.62 Definition mdia_s5:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s5 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 5.40/5.62 Axiom a1:(mreflexive rel_s5).
% 5.40/5.62 Axiom a2:(mtransitive rel_s5).
% 5.40/5.62 Axiom a3:(msymmetric rel_s5).
% 5.40/5.62 Parameter p:(fofType->Prop).
% 5.40/5.62 Parameter q:(fofType->Prop).
% 5.40/5.62 Trying to prove (mvalid ((mimplies (mdia_s5 ((mand p) (mdia_s5 q)))) ((mimplies (mbox_s5 (mdia_s5 p))) (mdia_s5 (mbox_s5 p)))))
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 5.40/5.62 Found (x1 (a1 W)) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 5.40/5.62 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 5.40/5.62 Found a10:=(a1 W):((rel_s5 W) W)
% 5.40/5.62 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (x1 (a1 W)) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.55 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (x1 (a1 W)) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.55 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.55 Found (x1 (a1 W)) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.55 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found a10:=(a1 W):((rel_s5 W) W)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (a1 W) as proof of ((rel_s5 W) V)
% 12.35/12.56 Found (x1 (a1 W)) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 12.35/12.56 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 12.35/12.56 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 12.35/12.56 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 12.35/12.56 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 12.35/12.56 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 12.35/12.56 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 12.35/12.56 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 12.35/12.56 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 12.35/12.56 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 16.03/16.22 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 16.03/16.22 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 16.03/16.22 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 16.03/16.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (x3 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (x3 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (x3 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 16.03/16.22 Found (x3 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (x1 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 16.03/16.22 Found a10:=(a1 W):((rel_s5 W) W)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (a1 W) as proof of ((rel_s5 W) V)
% 16.03/16.22 Found (x1 (a1 W)) as proof of False
% 16.03/16.22 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.03/16.22 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 26.66/26.87 Found a10:=(a1 W):((rel_s5 W) W)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (x1 (a1 W)) as proof of False
% 26.66/26.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.66/26.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 26.66/26.87 Found a10:=(a1 W):((rel_s5 W) W)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V)
% 26.66/26.87 Found (x1 (a1 W)) as proof of False
% 26.66/26.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 26.66/26.87 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 26.66/26.87 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 26.66/26.87 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 26.66/26.87 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 26.66/26.87 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 26.66/26.87 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 26.66/26.87 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 26.66/26.87 Found a10:=(a1 W):((rel_s5 W) W)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (x3 (a1 W)) as proof of False
% 26.66/26.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 26.66/26.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 26.66/26.87 Found a10:=(a1 W):((rel_s5 W) W)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (a1 W) as proof of ((rel_s5 W) V0)
% 26.66/26.87 Found (x3 (a1 W)) as proof of False
% 26.66/26.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 26.66/26.87 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 26.66/26.87 Found a10:=(a1 W):((rel_s5 W) W)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (x3 (a1 W)) as proof of False
% 27.99/28.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 27.99/28.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 27.99/28.16 Found a10:=(a1 W):((rel_s5 W) W)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 27.99/28.16 Found (x3 (a1 W)) as proof of False
% 27.99/28.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 27.99/28.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 27.99/28.16 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 27.99/28.16 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 27.99/28.16 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 27.99/28.16 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 27.99/28.16 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 27.99/28.16 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 27.99/28.16 Found a10:=(a1 W):((rel_s5 W) W)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 27.99/28.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 27.99/28.16 Found (x1 (a1 W)) as proof of False
% 27.99/28.16 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 27.99/28.16 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (x1 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (x1 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (x1 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (x1 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 30.16/30.40 Found (x1 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (x3 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (x3 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (x3 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.16/30.40 Found a10:=(a1 W):((rel_s5 W) W)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 30.16/30.40 Found (x3 (a1 W)) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 30.16/30.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 30.16/30.40 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 30.16/30.40 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 30.16/30.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 30.16/30.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 30.16/30.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 30.16/30.40 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 33.76/33.93 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (x1 (a1 W)) as proof of False
% 33.76/33.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 33.76/33.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V)
% 33.76/33.93 Found (x1 (a1 W)) as proof of False
% 33.76/33.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 33.76/33.93 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 33.76/33.93 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 33.76/33.93 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 33.76/33.93 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 33.76/33.93 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (x3 (a1 W)) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (x3 (a1 W)) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (x3 (a1 W)) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 33.76/33.93 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 33.76/33.93 Found a10:=(a1 W):((rel_s5 W) W)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (a1 W) as proof of ((rel_s5 W) V0)
% 33.76/33.93 Found (x3 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (x1 (a1 W)) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 47.52/47.72 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 47.52/47.72 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 47.52/47.72 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 47.52/47.72 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 47.52/47.72 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 47.52/47.72 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 47.52/47.72 Found a10:=(a1 W):((rel_s5 W) W)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 47.52/47.72 Found (a1 W) as proof of ((rel_s5 W) V)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 52.17/52.40 Found (x1 (a1 W)) as proof of False
% 52.17/52.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 52.17/52.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 52.17/52.40 Found a10:=(a1 W):((rel_s5 W) W)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (x3 (a1 W)) as proof of False
% 52.17/52.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 52.17/52.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 52.17/52.40 Found a10:=(a1 W):((rel_s5 W) W)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 52.17/52.40 Found (x3 (a1 W)) as proof of False
% 52.17/52.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 52.17/52.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 52.17/52.40 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 52.17/52.40 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 52.17/52.40 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 52.17/52.40 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 52.17/52.40 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 52.17/52.40 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 52.17/52.40 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 52.17/52.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 56.22/56.40 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (x3 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (x3 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (x1 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (x1 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V)
% 56.22/56.40 Found (x1 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (x3 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 56.22/56.40 Found a10:=(a1 W):((rel_s5 W) W)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (a1 W) as proof of ((rel_s5 W) V0)
% 56.22/56.40 Found (x3 (a1 W)) as proof of False
% 56.22/56.40 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 57.45/57.65 Found a10:=(a1 W):((rel_s5 W) W)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (x1 (a1 W)) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 57.45/57.65 Found a10:=(a1 W):((rel_s5 W) W)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (x3 (a1 W)) as proof of False
% 57.45/57.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 57.45/57.65 Found a10:=(a1 W):((rel_s5 W) W)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 57.45/57.65 Found (x3 (a1 W)) as proof of False
% 57.45/57.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 57.45/57.65 Found a10:=(a1 W):((rel_s5 W) W)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (x1 (a1 W)) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 57.45/57.65 Found a10:=(a1 W):((rel_s5 W) W)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 57.45/57.65 Found (x1 (a1 W)) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 57.45/57.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 57.45/57.65 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 57.45/57.65 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 57.45/57.65 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 57.45/57.65 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 57.45/57.65 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 57.45/57.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 75.32/75.57 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 75.32/75.57 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 75.32/75.57 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 75.32/75.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 75.32/75.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 75.32/75.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 75.32/75.57 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (x1 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (x1 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (x3 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (x3 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (x3 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (x3 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V0)
% 75.32/75.57 Found a10:=(a1 W):((rel_s5 W) W)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (a1 W) as proof of ((rel_s5 W) V)
% 75.32/75.57 Found (x1 (a1 W)) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 75.32/75.57 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (x1 (a1 W)) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (x1 (a1 W)) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V)
% 80.98/81.23 Found (x1 (a1 W)) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 80.98/81.23 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 80.98/81.23 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 80.98/81.23 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 80.98/81.23 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 80.98/81.23 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 80.98/81.23 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (x3 (a1 W)) as proof of False
% 80.98/81.23 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 80.98/81.23 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 80.98/81.23 Found a10:=(a1 W):((rel_s5 W) W)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 80.98/81.23 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (x3 (a1 W)) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 85.92/86.17 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 85.92/86.17 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 85.92/86.17 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (x3 (a1 W)) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (x3 (a1 W)) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 85.92/86.17 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found a10:=(a1 W):((rel_s5 W) W)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found (a1 W) as proof of ((rel_s5 W) V0)
% 85.92/86.17 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 85.92/86.17 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 85.92/86.17 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 89.52/89.77 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 89.52/89.77 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 89.52/89.77 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 89.52/89.77 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 89.52/89.77 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 89.52/89.77 Found a10:=(a1 W):((rel_s5 W) W)
% 89.52/89.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (x3 (a1 W)) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 92.09/92.30 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 92.09/92.30 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 92.09/92.30 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (x3 (a1 W)) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (x3 (a1 W)) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 92.09/92.30 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 92.09/92.30 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (x3 (a1 W)) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.09/92.30 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 92.09/92.30 Found a10:=(a1 W):((rel_s5 W) W)
% 92.09/92.30 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (x3 (a1 W)) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 98.42/98.64 Found a10:=(a1 W):((rel_s5 W) W)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (x3 (a1 W)) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 98.42/98.64 Found a10:=(a1 W):((rel_s5 W) W)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.64 Found (x3 (a1 W)) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 98.42/98.64 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 98.42/98.65 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 98.42/98.65 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found a10:=(a1 W):((rel_s5 W) W)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V0)
% 98.42/98.65 Found (x3 (a1 W)) as proof of False
% 98.42/98.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 98.42/98.65 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 98.42/98.65 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 98.42/98.65 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 98.42/98.65 Found a10:=(a1 W):((rel_s5 W) W)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (x1 (a1 W)) as proof of False
% 98.42/98.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 98.42/98.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 98.42/98.65 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 98.42/98.65 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 98.42/98.65 Found a10:=(a1 W):((rel_s5 W) W)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (a1 W) as proof of ((rel_s5 W) V)
% 98.42/98.65 Found (x1 (a1 W)) as proof of False
% 98.42/98.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 98.42/98.65 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 128.53/128.79 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 128.53/128.79 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 128.53/128.79 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 128.53/128.79 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found a10:=(a1 W):((rel_s5 W) W)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found (a1 W) as proof of ((rel_s5 W) V0)
% 128.53/128.79 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 133.79/134.09 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 133.79/134.09 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 133.79/134.09 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 133.79/134.09 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 133.79/134.09 Found a10:=(a1 W):((rel_s5 W) W)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found a10:=(a1 W):((rel_s5 W) W)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found (a1 W) as proof of ((rel_s5 W) V0)
% 133.79/134.09 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 133.79/134.09 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 133.79/134.09 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 133.79/134.09 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 133.79/134.09 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 138.00/138.27 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 138.00/138.27 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (x1 (a1 W)) as proof of False
% 138.00/138.27 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 138.00/138.27 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (x3 (a1 W)) as proof of False
% 138.00/138.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 138.00/138.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 138.00/138.27 Found (x1 (a1 W)) as proof of False
% 138.00/138.27 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 138.00/138.27 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 138.00/138.27 Found a10:=(a1 W):((rel_s5 W) W)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (x3 (a1 W)) as proof of False
% 138.00/138.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 138.00/138.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 138.00/138.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 138.00/138.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 138.00/138.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found a10:=(a1 W):((rel_s5 W) W)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (x3 (a1 W)) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 139.42/139.66 Found a10:=(a1 W):((rel_s5 W) W)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (x3 (a1 W)) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 139.42/139.66 Found a10:=(a1 W):((rel_s5 W) W)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (x3 (a1 W)) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 139.42/139.66 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 139.42/139.66 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 139.42/139.66 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 139.42/139.66 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 139.42/139.66 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found a10:=(a1 W):((rel_s5 W) W)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 139.42/139.66 Found (x3 (a1 W)) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 139.42/139.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 139.42/139.66 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 139.42/139.66 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 139.42/139.66 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 139.42/139.66 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 139.42/139.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 140.88/141.16 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 140.88/141.16 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 140.88/141.16 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 140.88/141.16 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (x3 (a1 W)) as proof of False
% 140.88/141.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 140.88/141.16 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V)
% 140.88/141.16 Found (x1 (a1 W)) as proof of False
% 140.88/141.16 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 140.88/141.16 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 140.88/141.16 Found a10:=(a1 W):((rel_s5 W) W)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 140.88/141.16 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (x3 (a1 W)) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 144.17/144.43 Found a10:=(a1 W):((rel_s5 W) W)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V)
% 144.17/144.43 Found (x1 (a1 W)) as proof of False
% 144.17/144.43 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 144.17/144.43 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 144.17/144.43 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 144.17/144.43 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 144.17/144.43 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 144.17/144.43 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 144.17/144.43 Found a10:=(a1 W):((rel_s5 W) W)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (x3 (a1 W)) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 144.17/144.43 Found a10:=(a1 W):((rel_s5 W) W)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (a1 W) as proof of ((rel_s5 W) V0)
% 144.17/144.43 Found (x3 (a1 W)) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 144.17/144.43 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 144.17/144.43 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 144.17/144.43 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 144.17/144.43 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (x3 (a1 W)) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (x3 (a1 W)) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (x3 (a1 W)) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (x3 (a1 W)) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 146.18/146.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 146.18/146.42 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 146.18/146.42 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 146.18/146.42 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 146.18/146.42 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 146.18/146.42 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found a10:=(a1 W):((rel_s5 W) W)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 146.18/146.42 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 146.18/146.42 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found a10:=(a1 W):((rel_s5 W) W)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (x3 (a1 W)) as proof of False
% 149.41/149.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 149.41/149.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 149.41/149.66 Found a10:=(a1 W):((rel_s5 W) W)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (x3 (a1 W)) as proof of False
% 149.41/149.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 149.41/149.66 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 149.41/149.66 Found a10:=(a1 W):((rel_s5 W) W)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found a10:=(a1 W):((rel_s5 W) W)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found (a1 W) as proof of ((rel_s5 W) V0)
% 149.41/149.66 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 149.41/149.66 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 149.41/149.66 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 149.41/149.66 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 149.41/149.66 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 149.41/149.66 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 149.41/149.66 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 149.41/149.66 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 154.97/155.22 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 154.97/155.22 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 154.97/155.22 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 154.97/155.22 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found a10:=(a1 W):((rel_s5 W) W)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found a10:=(a1 W):((rel_s5 W) W)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 154.97/155.22 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 154.97/155.22 Found a10:=(a1 W):((rel_s5 W) W)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (x3 (a1 W)) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 154.97/155.22 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 154.97/155.22 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 154.97/155.22 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 154.97/155.22 Found a10:=(a1 W):((rel_s5 W) W)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (x3 (a1 W)) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 154.97/155.22 Found a10:=(a1 W):((rel_s5 W) W)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (a1 W) as proof of ((rel_s5 W) V0)
% 154.97/155.22 Found (x3 (a1 W)) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 154.97/155.22 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 154.97/155.22 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 157.96/158.27 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 157.96/158.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 157.96/158.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 157.96/158.27 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 157.96/158.27 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found a10:=(a1 W):((rel_s5 W) W)
% 157.96/158.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 157.96/158.27 Found (x3 (a1 W)) as proof of False
% 157.96/158.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 157.96/158.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 157.96/158.27 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 157.96/158.27 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 157.96/158.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 162.19/162.50 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 162.19/162.50 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 162.19/162.50 Found a10:=(a1 W):((rel_s5 W) W)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (x3 (a1 W)) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 162.19/162.50 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 162.19/162.50 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 162.19/162.50 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found a10:=(a1 W):((rel_s5 W) W)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (x3 (a1 W)) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 162.19/162.50 Found a10:=(a1 W):((rel_s5 W) W)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (a1 W) as proof of ((rel_s5 W) V0)
% 162.19/162.50 Found (x3 (a1 W)) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 162.19/162.50 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 162.19/162.50 Found x3:(((rel_s5 W) V0)->False)
% 162.19/162.50 Instantiate: V0:=V00:fofType;V:=W:fofType
% 162.19/162.50 Found x3 as proof of (((rel_s5 V) V00)->False)
% 162.19/162.50 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 162.19/162.50 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 162.19/162.50 Found (((or_introl (((rel_s5 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 162.19/162.50 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 162.19/162.50 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 162.19/162.50 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (x3 (a1 W)) as proof of False
% 174.00/174.29 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 174.00/174.29 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 174.00/174.29 Found x3:(((rel_s5 W) V0)->False)
% 174.00/174.29 Instantiate: V0:=V00:fofType;V:=W:fofType
% 174.00/174.29 Found x3 as proof of (((rel_s5 V) V00)->False)
% 174.00/174.29 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (x1 (a1 W)) as proof of False
% 174.00/174.29 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 174.00/174.29 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 174.00/174.29 Found x3:(((rel_s5 W) V0)->False)
% 174.00/174.29 Instantiate: V0:=V00:fofType
% 174.00/174.29 Found x3 as proof of (((rel_s5 V) V00)->False)
% 174.00/174.29 Found (or_introl00 x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 174.00/174.29 Found ((or_introl0 (p V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 174.00/174.29 Found (((or_introl (((rel_s5 V) V00)->False)) (p V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) (p V00))
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 174.00/174.29 Found x3:(((rel_s5 W) V0)->False)
% 174.00/174.29 Instantiate: V0:=V00:fofType
% 174.00/174.29 Found x3 as proof of (((rel_s5 V) V00)->False)
% 174.00/174.29 Found (or_introl10 x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found ((or_introl1 ((mnot p) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found (((or_introl (((rel_s5 V) V00)->False)) ((mnot p) V00)) x3) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 174.00/174.29 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 174.00/174.29 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 174.00/174.29 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V)
% 174.00/174.29 Found (x1 (a1 W)) as proof of False
% 174.00/174.29 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 174.00/174.29 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 174.00/174.29 Found a10:=(a1 W):((rel_s5 W) W)
% 174.00/174.29 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found a10:=(a1 W):((rel_s5 W) W)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 191.43/191.71 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 191.43/191.71 Found x2:((rel_s5 V) V0)
% 191.43/191.71 Instantiate: V1:=V0:fofType;V:=W:fofType
% 191.43/191.71 Found x2 as proof of ((rel_s5 W) V1)
% 191.43/191.71 Found (x4 x2) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.43/191.71 Found a10:=(a1 W):((rel_s5 W) W)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found a10:=(a1 W):((rel_s5 W) W)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 191.43/191.71 Found x2:((rel_s5 V) V0)
% 191.43/191.71 Instantiate: V1:=V0:fofType;V:=W:fofType
% 191.43/191.71 Found x2 as proof of ((rel_s5 W) V1)
% 191.43/191.71 Found (x4 x2) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.43/191.71 Found x2:((rel_s5 V) V0)
% 191.43/191.71 Instantiate: V1:=V0:fofType
% 191.43/191.71 Found x2 as proof of ((rel_s5 W) V1)
% 191.43/191.71 Found (x4 x2) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 191.43/191.71 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 191.43/191.71 Found or_introl00:=(or_introl0 (p V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V00)))
% 191.43/191.71 Found (or_introl0 (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 191.43/191.71 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 191.43/191.71 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 191.43/191.71 Found or_introl00:=(or_introl0 (p V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V1)))
% 191.43/191.71 Found (or_introl0 (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 191.43/191.71 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 203.46/203.79 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V1)))
% 203.46/203.79 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found x2:((rel_s5 V) V0)
% 203.46/203.79 Instantiate: V1:=V0:fofType
% 203.46/203.79 Found x2 as proof of ((rel_s5 W) V1)
% 203.46/203.79 Found (x4 x2) as proof of False
% 203.46/203.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of False
% 203.46/203.79 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s5 W) V1)->False)->False)
% 203.46/203.79 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V1)))
% 203.46/203.79 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 203.46/203.79 Found or_introl00:=(or_introl0 (p V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V00)))
% 203.46/203.79 Found (or_introl0 (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 203.46/203.79 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 203.46/203.79 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 203.46/203.79 Found or_introl00:=(or_introl0 (p V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V1)))
% 203.46/203.79 Found (or_introl0 (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 203.46/203.79 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V0)))
% 203.46/203.79 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 203.46/203.79 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V0)))
% 209.41/209.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V0)))
% 209.41/209.73 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 209.41/209.73 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V0)))
% 209.41/209.73 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 209.41/209.73 Found a10:=(a1 W):((rel_s5 W) W)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (x5 (a1 W)) as proof of False
% 209.41/209.73 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 209.41/209.73 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 209.41/209.73 Found a10:=(a1 W):((rel_s5 W) W)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (a1 W) as proof of ((rel_s5 W) V1)
% 209.41/209.73 Found (x5 (a1 W)) as proof of False
% 209.41/209.73 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 209.41/209.73 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 209.41/209.73 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V1)))
% 209.41/209.73 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 209.41/209.73 Found or_introl00:=(or_introl0 (p V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V1)))
% 209.41/209.73 Found (or_introl0 (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 209.41/209.73 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 216.30/216.58 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 216.30/216.58 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 216.30/216.58 Found or_introl00:=(or_introl0 (p V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V00)))
% 216.30/216.58 Found (or_introl0 (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 216.30/216.58 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V0)))
% 216.30/216.58 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 216.30/216.58 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V0)))
% 216.30/216.58 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 216.30/216.58 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 216.30/216.58 Found a10:=(a1 W):((rel_s5 W) W)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (x4 (a1 W)) as proof of False
% 216.30/216.58 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 216.30/216.58 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 216.30/216.58 Found a10:=(a1 W):((rel_s5 W) W)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (x5 (a1 W)) as proof of False
% 216.30/216.58 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 216.30/216.58 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 216.30/216.58 Found a10:=(a1 W):((rel_s5 W) W)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (a1 W) as proof of ((rel_s5 W) V1)
% 216.30/216.58 Found (x5 (a1 W)) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 221.74/222.05 Found a10:=(a1 W):((rel_s5 W) W)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (x5 (a1 W)) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 221.74/222.05 Found a10:=(a1 W):((rel_s5 W) W)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (a1 W) as proof of ((rel_s5 W) V1)
% 221.74/222.05 Found (x5 (a1 W)) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 221.74/222.05 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 221.74/222.05 Found or_introl00:=(or_introl0 (p V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V1)))
% 221.74/222.05 Found (or_introl0 (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) (p V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) (p V1)))
% 221.74/222.05 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 221.74/222.05 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 221.74/222.05 Found or_introl10:=(or_introl1 ((mnot p) V1)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V1)))
% 221.74/222.05 Found (or_introl1 ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V1)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V0) V1)->False)) ((mnot p) V1)))
% 221.74/222.05 Found or_introl00:=(or_introl0 (p V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V00)))
% 221.74/222.05 Found (or_introl0 (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 221.74/222.05 Found ((or_introl (((rel_s5 W) V1)->False)) (p V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) (p V00)))
% 221.74/222.05 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (x4 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x4:(((rel_s5 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (x1 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 228.44/228.77 Found or_introl00:=(or_introl0 (p V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) (p V0)))
% 228.44/228.77 Found (or_introl0 (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) (p V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 228.44/228.77 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V2)->False)->((or (((rel_s5 W) V2)->False)) ((mnot p) V0)))
% 228.44/228.77 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 228.44/228.77 Found ((or_introl (((rel_s5 W) V2)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V2)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (x3 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 228.44/228.77 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot p) V0))
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (x5 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V1)
% 228.44/228.77 Found (x5 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x5:(((rel_s5 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->False)
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V0)
% 228.44/228.77 Found a10:=(a1 W):((rel_s5 W) W)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (a1 W) as proof of ((rel_s5 W) V)
% 228.44/228.77 Found (x1 (a1 W)) as proof of False
% 228.44/228.77 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 228.44/228.77 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 243.40/243.68 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 243.40/243.68 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 243.40/243.68 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 243.40/243.68 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 243.40/243.68 Found a10:=(a1 W):((rel_s5 W) W)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V1)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V1)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V1)
% 243.40/243.68 Found (x3 (a1 W)) as proof of False
% 243.40/243.68 Found (fun (x4:(p V0))=> (x3 (a1 W))) as proof of False
% 243.40/243.68 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((mnot p) V0)
% 243.40/243.68 Found (fun (x3:(((rel_s5 W) V1)->False)) (x4:(p V0))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V1)->False)->((mnot p) V0))
% 243.40/243.68 Found a10:=(a1 W):((rel_s5 W) W)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found a10:=(a1 W):((rel_s5 W) W)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (a1 W) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 243.40/243.68 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 243.40/243.68 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 243.40/243.68 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 243.40/243.68 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 249.68/249.97 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 249.68/249.97 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 249.68/249.97 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 249.68/249.97 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 249.68/249.97 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 249.68/249.97 Found a10:=(a1 W):((rel_s5 W) W)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (x3 (a1 W)) as proof of False
% 249.68/249.97 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 249.68/249.97 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 249.68/249.97 Found a10:=(a1 W):((rel_s5 W) W)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (a1 W) as proof of ((rel_s5 W) V0)
% 249.68/249.97 Found (x3 (a1 W)) as proof of False
% 249.68/249.97 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 253.62/253.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 253.62/253.92 Found a10:=(a1 W):((rel_s5 W) W)
% 253.62/253.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (x3 (a1 W)) as proof of False
% 253.62/253.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 253.62/253.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 253.62/253.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 253.62/253.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 253.62/253.92 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 253.62/253.92 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 253.62/253.92 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 253.62/253.92 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 253.62/253.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 255.10/255.42 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 255.10/255.42 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 255.10/255.42 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 255.10/255.42 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 255.10/255.42 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 255.10/255.42 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 255.10/255.42 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 255.10/255.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (x3 (a1 W)) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 261.99/262.37 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 261.99/262.37 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (x3 (a1 W)) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (x3 (a1 W)) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (x3 (a1 W)) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 261.99/262.37 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 261.99/262.37 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 261.99/262.37 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 261.99/262.37 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 261.99/262.37 Found a10:=(a1 W):((rel_s5 W) W)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found (a1 W) as proof of ((rel_s5 W) V0)
% 261.99/262.37 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 261.99/262.37 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 266.91/267.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 266.91/267.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 266.91/267.27 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 266.91/267.27 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (x3 (a1 W)) as proof of False
% 266.91/267.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 266.91/267.27 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 266.91/267.27 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 266.91/267.27 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 266.91/267.27 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 266.91/267.27 Found a10:=(a1 W):((rel_s5 W) W)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 266.91/267.27 Found (a1 W) as proof of ((rel_s5 W) V)
% 266.91/267.27 Found (x1 (a1 W)) as proof of False
% 271.38/271.71 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 271.38/271.71 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V)
% 271.38/271.71 Found (x1 (a1 W)) as proof of False
% 271.38/271.71 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 271.38/271.71 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 271.38/271.71 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 271.38/271.71 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found or_introl10:=(or_introl1 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 271.38/271.71 Found (or_introl1 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 271.38/271.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 271.38/271.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 271.38/271.71 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 271.38/271.71 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 271.38/271.71 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found a10:=(a1 W):((rel_s5 W) W)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found (a1 W) as proof of ((rel_s5 W) V0)
% 271.38/271.71 Found or_intror00:=(or_intror0 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 271.38/271.71 Found (or_intror0 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 271.38/271.71 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 274.87/275.26 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (x1 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V)
% 274.87/275.26 Found (x1 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x1:(((rel_s5 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s5 W) V)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (x3 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (x3 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (x3 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 274.87/275.26 Found (x3 (a1 W)) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 274.87/275.26 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 274.87/275.26 Found a10:=(a1 W):((rel_s5 W) W)
% 274.87/275.26 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (x3 (a1 W)) as proof of False
% 276.57/276.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 276.57/276.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 276.57/276.92 Found a10:=(a1 W):((rel_s5 W) W)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (x3 (a1 W)) as proof of False
% 276.57/276.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 276.57/276.92 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 276.57/276.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 276.57/276.92 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 276.57/276.92 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 276.57/276.92 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found a10:=(a1 W):((rel_s5 W) W)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found (a1 W) as proof of ((rel_s5 W) V0)
% 276.57/276.92 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 276.57/276.92 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 276.57/276.92 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 279.48/279.88 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 279.48/279.88 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 279.48/279.88 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 279.48/279.88 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 279.48/279.88 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 279.48/279.88 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found a10:=(a1 W):((rel_s5 W) W)
% 279.48/279.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (a1 W) as proof of ((rel_s5 W) V0)
% 279.48/279.88 Found (x3 (a1 W)) as proof of False
% 279.48/279.88 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 279.48/279.88 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 279.48/279.88 Found (or_intror10 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 284.09/284.42 Found ((or_intror1 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 284.09/284.42 Found (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 284.09/284.42 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 284.09/284.42 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mnot p)) V)
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mnot p)) V))
% 284.09/284.42 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 284.09/284.42 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 284.09/284.42 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 284.09/284.42 Found a10:=(a1 W):((rel_s5 W) W)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (x3 (a1 W)) as proof of False
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 284.09/284.42 Found a10:=(a1 W):((rel_s5 W) W)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (a1 W) as proof of ((rel_s5 W) V0)
% 284.09/284.42 Found (x3 (a1 W)) as proof of False
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 284.09/284.42 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 284.09/284.42 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 284.09/284.42 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 284.09/284.42 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 288.95/289.31 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 288.95/289.31 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found or_introl10:=(or_introl1 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 288.95/289.31 Found (or_introl1 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 288.95/289.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 288.95/289.31 Found a10:=(a1 W):((rel_s5 W) W)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (a1 W) as proof of ((rel_s5 W) V0)
% 288.95/289.31 Found (x3 (a1 W)) as proof of False
% 291.95/292.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 291.95/292.31 Found (fun (x3:(((rel_s5 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s5 W) V0)->False)->False)
% 291.95/292.31 Found or_introl20:=(or_introl2 (p V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) (p V0)))
% 291.95/292.31 Found (or_introl2 (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) (p V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) (p V0)))
% 291.95/292.31 Found or_intror20:=(or_intror2 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 W) V1)->False)))
% 291.95/292.31 Found (or_intror2 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 291.95/292.31 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 291.95/292.31 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 291.95/292.31 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 291.95/292.31 Found ((or_intror (p V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or (p V0)) (((rel_s5 V) V0)->False)))
% 291.95/292.31 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found a10:=(a1 V0):((rel_s5 V0) V0)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a1 V0) as proof of ((rel_s5 V0) W)
% 291.95/292.31 Found (a300 (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found ((a30 W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found (((a3 V0) W) (a1 V0)) as proof of ((rel_s5 W) V0)
% 291.95/292.31 Found or_introl00:=(or_introl0 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 291.95/292.31 Found (or_introl0 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 291.95/292.31 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 291.95/292.31 Found or_introl20:=(or_introl2 ((mnot p) V0)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V0)))
% 291.95/292.31 Found (or_introl2 ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V0)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 296.88/297.27 Found a10:=(a1 W):((rel_s5 W) W)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (x3 (a1 W)) as proof of False
% 296.88/297.27 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of False
% 296.88/297.27 Found (fun (x4:(p V00))=> (x3 (a1 W))) as proof of ((mnot p) V00)
% 296.88/297.27 Found (or_intror10 (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 296.88/297.27 Found ((or_intror1 ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 296.88/297.27 Found (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 296.88/297.27 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s5 V) V00)->False)) ((mnot p) V00))
% 296.88/297.27 Found (fun (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s5 V) V0)->False)) ((mnot p) V0)))
% 296.88/297.27 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((mbox_s5 (mnot p)) V)
% 296.88/297.27 Found (fun (x3:(((rel_s5 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s5 V) V00)->False)) ((mnot p) V00)) (fun (x4:(p V00))=> (x3 (a1 W))))) as proof of ((((rel_s5 W) V0)->False)->((mbox_s5 (mnot p)) V))
% 296.88/297.27 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 296.88/297.27 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found or_introl10:=(or_introl1 ((mnot p) V00)):((((rel_s5 W) V1)->False)->((or (((rel_s5 W) V1)->False)) ((mnot p) V00)))
% 296.88/297.27 Found (or_introl1 ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found ((or_introl (((rel_s5 W) V1)->False)) ((mnot p) V00)) as proof of ((((rel_s5 W) V1)->False)->((or (((rel_s5 V) V00)->False)) ((mnot p) V00)))
% 296.88/297.27 Found a10:=(a1 W):((rel_s5 W) W)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found a10:=(a1 W):((rel_s5 W) W)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found (a1 W) as proof of ((rel_s5 W) V0)
% 296.88/297.27 Found or_intror10:=(or_intror1 (((rel_s5 W) V1)->False)):((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 W) V1)->False)))
% 296.88/297.27 Found (or_intror1 (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 296.88/297.27 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)->False)) as proof of ((((rel_s5 W) V1)->False)->((or ((mnot p) V0)) (((rel_s5 V) V0)->False)))
% 296.88/297.27 Found ((or_intror ((mnot p) V0)) (((rel_s5 W) V1)-
%------------------------------------------------------------------------------