TSTP Solution File: SYO471^5 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO471^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Tue Mar 29 00:51:48 EDT 2022

% Result   : Timeout 285.73s 286.02s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYO471^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Computer   : n004.cluster.edu
% 0.12/0.32  % Model      : x86_64 x86_64
% 0.12/0.32  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % RAMPerCPU  : 8042.1875MB
% 0.12/0.32  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % DateTime   : Sun Mar 13 06:04:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33  Python 2.7.5
% 0.38/0.56  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.56  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84950>, <kernel.Type object at 0x2b2be4e84878>) of role type named mu_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring mu:Type
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84a28>, <kernel.DependentProduct object at 0x2b2be4e84950>) of role type named meq_ind_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.38/0.56  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
% 0.38/0.56  A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.38/0.56  Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84950>, <kernel.DependentProduct object at 0x2b2be4e84908>) of role type named meq_prop_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.56  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
% 0.38/0.56  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))))
% 0.38/0.56  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84998>, <kernel.DependentProduct object at 0x2b2be4e84a28>) of role type named mnot_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.38/0.56  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.38/0.56  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.38/0.56  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84a28>, <kernel.DependentProduct object at 0x2b2be4e84170>) of role type named mor_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.56  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
% 0.38/0.56  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))))
% 0.38/0.56  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x2b2be4e84170>, <kernel.DependentProduct object at 0x2b2be4e843f8>) of role type named mand_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.56  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
% 0.38/0.56  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.38/0.56  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.38/0.56  FOF formula (<kernel.Constant object at 0x18d77e8>, <kernel.DependentProduct object at 0x2b2be4e84200>) of role type named mimplies_type
% 0.38/0.56  Using role type
% 0.38/0.56  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.56  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
% 0.38/0.56  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.38/0.57  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84200>, <kernel.DependentProduct object at 0x2b2be4e84998>) of role type named mimplied_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.57  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
% 0.38/0.57  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.38/0.57  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84998>, <kernel.DependentProduct object at 0x2b2be4e843f8>) of role type named mequiv_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.57  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
% 0.38/0.57  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))))
% 0.38/0.57  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e843f8>, <kernel.DependentProduct object at 0x2b2be4e84290>) of role type named mxor_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.57  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
% 0.38/0.57  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.38/0.57  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84170>, <kernel.DependentProduct object at 0x2b2be4e84560>) of role type named mforall_ind_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.57  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
% 0.38/0.57  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.38/0.57  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84560>, <kernel.DependentProduct object at 0x2b2be4e846c8>) of role type named mforall_prop_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.57  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
% 0.38/0.57  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))))
% 0.38/0.57  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2bec952170>, <kernel.DependentProduct object at 0x2b2be4e846c8>) of role type named mexists_ind_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.38/0.57  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
% 0.38/0.57  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)))))))
% 0.38/0.57  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2bec952170>, <kernel.DependentProduct object at 0x2b2be4e840e0>) of role type named mexists_prop_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.38/0.57  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
% 0.38/0.57  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)))))))
% 0.38/0.57  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2bec952170>, <kernel.DependentProduct object at 0x2b2be4e843f8>) of role type named mtrue_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mtrue:(fofType->Prop)
% 0.38/0.57  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.38/0.57  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.38/0.57  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e840e0>, <kernel.DependentProduct object at 0x2b2be4e84050>) of role type named mfalse_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mfalse:(fofType->Prop)
% 0.38/0.57  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.38/0.57  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.38/0.57  Defined: mfalse:=(mnot mtrue)
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84560>, <kernel.DependentProduct object at 0x2b2be4e84050>) of role type named mbox_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.57  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
% 0.38/0.57  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)))))
% 0.38/0.57  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84a28>, <kernel.DependentProduct object at 0x2b2be4e84560>) of role type named mdia_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.38/0.57  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
% 0.38/0.57  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)))))
% 0.38/0.57  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2b2be4e84638>, <kernel.DependentProduct object at 0x2b2bec9554d0>) of role type named mreflexive_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.38/0.57  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.38/0.57  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.38/0.57  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x2b2be4e84638>, <kernel.DependentProduct object at 0x2b2bec9557e8>) of role type named msymmetric_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.38/0.58  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
% 0.38/0.58  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)))))
% 0.38/0.58  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x2b2be4e84560>, <kernel.DependentProduct object at 0x2b2bec955e18>) of role type named mserial_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.38/0.58  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
% 0.38/0.58  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))))))
% 0.38/0.58  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x2b2bec955e18>, <kernel.DependentProduct object at 0x2b2bec9550e0>) of role type named mtransitive_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.38/0.58  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
% 0.38/0.58  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)))))
% 0.38/0.58  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x2b2bec9550e0>, <kernel.DependentProduct object at 0x2b2bec955cf8>) of role type named meuclidean_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.38/0.58  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
% 0.38/0.58  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)))))
% 0.38/0.58  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x163a5f0>, <kernel.DependentProduct object at 0x2b2bec9557e8>) of role type named mpartially_functional_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.38/0.58  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
% 0.38/0.58  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)))))
% 0.38/0.58  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))))
% 0.38/0.58  FOF formula (<kernel.Constant object at 0x163a7a0>, <kernel.DependentProduct object at 0x2b2bec9550e0>) of role type named mfunctional_type
% 0.38/0.58  Using role type
% 0.38/0.58  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.38/0.60  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
% 0.38/0.60  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)))))))))
% 0.38/0.60  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))))))))
% 0.38/0.60  FOF formula (<kernel.Constant object at 0x163a7a0>, <kernel.DependentProduct object at 0x2b2bec955b48>) of role type named mweakly_dense_type
% 0.38/0.60  Using role type
% 0.38/0.60  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.38/0.60  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
% 0.38/0.60  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)))))))))
% 0.38/0.60  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))))))))
% 0.38/0.60  FOF formula (<kernel.Constant object at 0x163ad88>, <kernel.DependentProduct object at 0x2b2bec955878>) of role type named mweakly_connected_type
% 0.38/0.60  Using role type
% 0.38/0.60  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.38/0.60  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
% 0.38/0.60  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))))))
% 0.38/0.60  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)))))
% 0.38/0.60  FOF formula (<kernel.Constant object at 0x2b2bec955878>, <kernel.DependentProduct object at 0x2b2bec955c68>) of role type named mweakly_directed_type
% 0.38/0.60  Using role type
% 0.38/0.60  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.38/0.60  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
% 0.38/0.60  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))))))))
% 0.38/0.60  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)))))))
% 0.38/0.60  FOF formula (<kernel.Constant object at 0x2b2bec955758>, <kernel.DependentProduct object at 0x2b2bec9557e8>) of role type named mvalid_type
% 0.38/0.60  Using role type
% 0.38/0.60  Declaring mvalid:((fofType->Prop)->Prop)
% 0.38/0.60  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.38/0.60  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.38/0.60  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2bec955878>, <kernel.DependentProduct object at 0x2b2be4e82200>) of role type named minvalid_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring minvalid:((fofType->Prop)->Prop)
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.38/0.61  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2bec955878>, <kernel.DependentProduct object at 0x2b2be4e82560>) of role type named msatisfiable_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.38/0.61  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2be4e823f8>, <kernel.DependentProduct object at 0x2b2be4e82638>) of role type named mcountersatisfiable_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.38/0.61  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.38/0.61  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2be4e84d40>, <kernel.DependentProduct object at 0x2b2be4e84bd8>) of role type named rel_s4_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2be4e84d88>, <kernel.DependentProduct object at 0x2b2be4e84cb0>) of role type named mbox_s4_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))) of role definition named mbox_s4
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))))
% 0.38/0.61  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x2b2be4e84cb0>, <kernel.DependentProduct object at 0x2b2be4e84ab8>) of role type named mdia_s4_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.38/0.61  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.38/0.61  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.38/0.61  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.38/0.61  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.38/0.61  A new axiom: (mreflexive rel_s4)
% 0.38/0.61  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.38/0.61  A new axiom: (mtransitive rel_s4)
% 0.38/0.61  FOF formula (<kernel.Constant object at 0x1637098>, <kernel.DependentProduct object at 0x16371b8>) of role type named p_type
% 0.38/0.61  Using role type
% 0.38/0.61  Declaring p:(fofType->Prop)
% 0.38/0.61  FOF formula (mvalid ((mimplies (mdia_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 p)))) of role conjecture named prove
% 0.38/0.61  Conjecture to prove = (mvalid ((mimplies (mdia_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 p)))):Prop
% 0.38/0.61  Parameter mu_DUMMY:mu.
% 0.38/0.61  Parameter fofType_DUMMY:fofType.
% 0.38/0.61  We need to prove ['(mvalid ((mimplies (mdia_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 p))))']
% 0.38/0.61  Parameter mu:Type.
% 0.38/0.61  Parameter fofType:Type.
% 0.38/0.61  Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.38/0.61  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.38/0.61  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.61  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.61  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.38/0.61  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)).
% 0.38/0.61  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.38/0.61  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.38/0.61  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))).
% 0.38/0.61  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.38/0.61  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.61  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.61  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.38/0.61  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).
% 0.38/0.61  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).
% 0.38/0.61  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).
% 0.38/0.61  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).
% 0.38/0.61  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).
% 0.38/0.61  Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 6.15/6.30  Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 6.15/6.30  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 6.15/6.30  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 6.15/6.30  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 6.15/6.30  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 6.15/6.30  Parameter rel_s4:(fofType->(fofType->Prop)).
% 6.15/6.30  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 6.15/6.30  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 6.15/6.30  Axiom a1:(mreflexive rel_s4).
% 6.15/6.30  Axiom a2:(mtransitive rel_s4).
% 6.15/6.30  Parameter p:(fofType->Prop).
% 6.15/6.30  Trying to prove (mvalid ((mimplies (mdia_s4 (mdia_s4 p))) (mbox_s4 (mdia_s4 p))))
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (x1 (a1 V)) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 6.15/6.30  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 6.15/6.30  Found a10:=(a1 V):((rel_s4 V) V)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 6.15/6.30  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (x1 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (x1 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (x1 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (x1 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (x1 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 12.74/12.90  Found (x3 (a1 V)) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 12.74/12.90  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 12.74/12.90  Found a10:=(a1 V):((rel_s4 V) V)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 12.74/12.90  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (x3 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (x3 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (x3 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 15.69/15.87  Found (x3 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (x1 (a1 V)) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 15.69/15.87  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 15.69/15.87  Found a10:=(a1 V):((rel_s4 V) V)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 15.69/15.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (x1 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (x3 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (x3 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (x1 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (x1 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (x3 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (x3 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (x1 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 19.09/19.24  Found (x1 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (x3 (a1 V)) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 19.09/19.24  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 19.09/19.24  Found a10:=(a1 V):((rel_s4 V) V)
% 19.09/19.24  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (x3 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (x3 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (x3 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (x3 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (x3 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V0)
% 27.89/28.05  Found (x1 (a1 V)) as proof of False
% 27.89/28.05  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 27.89/28.05  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found a10:=(a1 V):((rel_s4 V) V)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 27.89/28.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (x1 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (x1 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V0)
% 30.32/30.50  Found (x1 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (x3 (a1 V)) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 30.32/30.50  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 30.32/30.50  Found a10:=(a1 V):((rel_s4 V) V)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 30.32/30.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 36.94/37.15  Found (x5 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.94/37.15  Found (x3 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (x1 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (x1 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 36.94/37.15  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.94/37.15  Found a10:=(a1 V):((rel_s4 V) V)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.94/37.15  Found (x1 (a1 V)) as proof of False
% 36.94/37.15  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (x5 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (x5 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 38.90/39.11  Found (x5 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 38.90/39.11  Found a10:=(a1 V):((rel_s4 V) V)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (a1 V) as proof of ((rel_s4 V) V00)
% 38.90/39.11  Found (x3 (a1 V)) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 38.90/39.11  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (x3 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (x3 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (x3 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (x5 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (x5 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (x5 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.59/44.81  Found (x1 (a1 V)) as proof of False
% 44.59/44.81  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 44.59/44.81  Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 44.59/44.81  Found a10:=(a1 V):((rel_s4 V) V)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 44.59/44.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (x5 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (x3 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (x3 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (x3 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (x5 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (x5 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (x3 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 48.28/48.53  Found a10:=(a1 V):((rel_s4 V) V)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 48.28/48.53  Found (x5 (a1 V)) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 48.28/48.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (x5 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (x5 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (x5 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (x5 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 55.87/56.07  Found (x5 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (x3 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 55.87/56.07  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 55.87/56.07  Found a10:=(a1 V):((rel_s4 V) V)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 55.87/56.07  Found (x3 (a1 V)) as proof of False
% 55.87/56.07  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V01)
% 59.07/59.30  Found (x5 (a1 V)) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 59.07/59.30  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 59.07/59.30  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (x5 (a1 V)) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (x5 (a1 V)) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (x5 (a1 V)) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 64.47/64.74  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V00)
% 64.47/64.74  Found a10:=(a1 V):((rel_s4 V) V)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 64.47/64.74  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (x5 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (x3 (a1 V)) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.18/68.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 68.18/68.41  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (x5 (a1 V)) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V00)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (x5 (a1 V)) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (x5 (a1 V)) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 74.56/74.77  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found a10:=(a1 V):((rel_s4 V) V)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 74.56/74.77  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (x5 (a1 V)) as proof of False
% 77.49/77.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 77.49/77.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found a10:=(a1 V):((rel_s4 V) V)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 77.49/77.72  Found (x5 (a1 V)) as proof of False
% 77.49/77.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 77.49/77.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (x3 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (x3 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 79.16/79.40  Found (x5 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 79.16/79.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 79.16/79.40  Found a10:=(a1 V):((rel_s4 V) V)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 79.16/79.40  Found (x3 (a1 V)) as proof of False
% 79.16/79.40  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (x3 (a1 V)) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (x3 (a1 V)) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (x3 (a1 V)) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 83.31/83.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 83.31/83.54  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found a10:=(a1 V):((rel_s4 V) V)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 83.31/83.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 87.26/87.45  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V00)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found a10:=(a1 V):((rel_s4 V) V)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 87.26/87.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 91.86/92.12  Found (x5 (a1 V)) as proof of False
% 91.86/92.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 91.86/92.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 91.86/92.12  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (x5 (a1 V)) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 97.65/97.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 97.65/97.85  Found a10:=(a1 V):((rel_s4 V) V)
% 97.65/97.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 98.15/98.42  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (x3 (a1 V)) as proof of False
% 98.15/98.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 98.15/98.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found a10:=(a1 V):((rel_s4 V) V)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.15/98.42  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (x5 (a1 V)) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (x5 (a1 V)) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (x5 (a1 V)) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 98.87/99.10  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 98.87/99.10  Found a10:=(a1 V):((rel_s4 V) V)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 98.87/99.10  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (x3 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (a1 V) as proof of ((rel_s4 V) V01)
% 100.06/100.31  Found (x5 (a1 V)) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 100.06/100.31  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 100.06/100.31  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (x5 (a1 V)) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (x5 (a1 V)) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (x5 (a1 V)) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (x5 (a1 V)) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 106.75/107.02  Found (x5 (a1 V)) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 106.75/107.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 106.75/107.02  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 107.86/108.08  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 107.86/108.08  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 107.86/108.08  Found a10:=(a1 V):((rel_s4 V) V)
% 107.86/108.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 107.86/108.08  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 107.86/108.08  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found a10:=(a1 V):((rel_s4 V) V)
% 111.16/111.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 111.16/111.37  Found a10:=(a1 V):((rel_s4 V) V)
% 111.16/111.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 111.16/111.37  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 111.16/111.37  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 111.16/111.37  Found (False_rect0 (p V0)) as proof of (p V0)
% 111.16/111.37  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 111.16/111.37  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 111.16/111.37  Found (False_rect0 (p V0)) as proof of (p V0)
% 111.16/111.37  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 111.16/111.37  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 111.16/111.37  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 111.16/111.37  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 111.16/111.37  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 111.16/111.37  Found (False_rect0 (p V0)) as proof of (p V0)
% 111.16/111.37  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 111.16/111.37  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 111.16/111.37  Found (False_rect0 (p V0)) as proof of (p V0)
% 111.16/111.37  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 111.16/111.37  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 111.16/111.37  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 111.16/111.37  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 111.16/111.37  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found a10:=(a1 T):((rel_s4 T) T)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found a10:=(a1 T):((rel_s4 T) T)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 115.73/115.94  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 115.73/115.94  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 115.73/115.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 115.73/115.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 115.73/115.94  Found a10:=(a1 T):((rel_s4 T) T)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found a10:=(a1 V):((rel_s4 V) V)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 115.73/115.94  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 115.73/115.94  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V00)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found a10:=(a1 V):((rel_s4 V) V)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 117.42/117.65  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (x5 (a1 V)) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 119.64/119.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.64/119.85  Found a10:=(a1 V):((rel_s4 V) V)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 119.64/119.85  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (x5 (a1 V)) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 121.25/121.50  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 121.25/121.50  Found a10:=(a1 V):((rel_s4 V) V)
% 121.25/121.50  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (x5 (a1 V)) as proof of False
% 124.52/124.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 124.52/124.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (x5 (a1 V)) as proof of False
% 124.52/124.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 124.52/124.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.52/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.52/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 124.55/124.76  Found a10:=(a1 V):((rel_s4 V) V)
% 124.55/124.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 125.85/126.07  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 125.85/126.07  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 125.85/126.07  Found a10:=(a1 V):((rel_s4 V) V)
% 125.85/126.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (x5 (a1 V)) as proof of False
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 127.03/127.25  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 127.03/127.25  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.03/127.25  Found (x5 (a1 V)) as proof of False
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.03/127.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.03/127.25  Found a10:=(a1 V):((rel_s4 V) V)
% 127.03/127.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V00)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (x5 (a1 V)) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (x5 (a1 V)) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (x5 (a1 V)) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.96/128.17  Found a10:=(a1 V):((rel_s4 V) V)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (a1 V) as proof of ((rel_s4 V) V01)
% 127.96/128.17  Found (x5 (a1 V)) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 127.96/128.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 127.96/128.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 127.96/128.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 127.96/128.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 127.96/128.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 127.96/128.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 127.96/128.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 127.96/128.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 127.96/128.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 127.96/128.17  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 127.96/128.17  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 127.96/128.17  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (x5 (a1 V)) as proof of False
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V01)
% 129.06/129.28  Found (x5 (a1 V)) as proof of False
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) T)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) T)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) T)
% 129.06/129.28  Found a10:=(a1 T):((rel_s4 T) T)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found a10:=(a1 T):((rel_s4 T) T)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found (a1 T) as proof of ((rel_s4 T) V00)
% 129.06/129.28  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 129.06/129.28  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 129.06/129.28  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 129.06/129.28  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 129.06/129.28  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found a10:=(a1 V):((rel_s4 V) V)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found (a1 V) as proof of ((rel_s4 V) V00)
% 129.06/129.28  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 129.06/129.28  Found (False_rect0 (p V0)) as proof of (p V0)
% 129.06/129.28  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 129.06/129.28  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 129.06/129.28  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 129.06/129.28  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 129.06/129.28  Found (False_rect0 (p V0)) as proof of (p V0)
% 129.06/129.28  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 129.06/129.28  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 129.06/129.28  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 129.06/129.28  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 129.06/129.28  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) T)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) T)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) T)
% 132.84/133.05  Found a10:=(a1 T):((rel_s4 T) T)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found a10:=(a1 T):((rel_s4 T) T)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found (a1 T) as proof of ((rel_s4 T) V00)
% 132.84/133.05  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 132.84/133.05  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 132.84/133.05  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 132.84/133.05  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 132.84/133.05  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 132.84/133.05  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V01)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 135.37/135.58  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found a10:=(a1 V):((rel_s4 V) V)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 135.37/135.58  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 137.14/137.35  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 T):((rel_s4 T) T)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 137.14/137.35  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 137.14/137.35  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 137.14/137.35  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 137.14/137.35  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 137.14/137.35  Found a10:=(a1 V):((rel_s4 V) V)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found (a1 V) as proof of ((rel_s4 V) T)
% 137.14/137.35  Found a10:=(a1 T):((rel_s4 T) T)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found a10:=(a1 T):((rel_s4 T) T)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found (a1 T) as proof of ((rel_s4 T) V00)
% 137.14/137.35  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 137.14/137.35  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 139.43/139.68  Found a10:=(a1 T):((rel_s4 T) T)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 139.43/139.68  Found a10:=(a1 V):((rel_s4 V) V)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found (a1 V) as proof of ((rel_s4 V) T)
% 139.43/139.68  Found a10:=(a1 T):((rel_s4 T) T)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found a10:=(a1 T):((rel_s4 T) T)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found (a1 T) as proof of ((rel_s4 T) V00)
% 139.43/139.68  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 139.43/139.68  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 141.23/141.44  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 141.23/141.44  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 141.23/141.44  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 141.23/141.44  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 141.23/141.44  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 141.23/141.44  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found a10:=(a1 V):((rel_s4 V) V)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found (a1 V) as proof of ((rel_s4 V) V01)
% 141.23/141.44  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.23/141.44  Found (False_rect0 (p V0)) as proof of (p V0)
% 141.23/141.44  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 141.23/141.44  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.23/141.44  Found (False_rect0 (p V0)) as proof of (p V0)
% 141.23/141.44  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 141.23/141.44  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.23/141.44  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.23/141.44  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 141.23/141.44  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.23/141.44  Found (False_rect0 (p V0)) as proof of (p V0)
% 141.23/141.44  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 141.23/141.44  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 141.23/141.44  Found (False_rect0 (p V0)) as proof of (p V0)
% 141.23/141.44  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 141.23/141.44  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 141.23/141.44  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 143.14/143.35  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 143.14/143.35  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found a10:=(a1 V):((rel_s4 V) V)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 143.14/143.35  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 143.14/143.35  Found (False_rect0 (p V0)) as proof of (p V0)
% 143.14/143.35  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 143.14/143.35  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 143.14/143.35  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 143.14/143.35  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 143.14/143.35  Found (False_rect0 (p V0)) as proof of (p V0)
% 143.14/143.35  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 143.14/143.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 143.14/143.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 143.14/143.35  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 143.14/143.35  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 143.14/143.35  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 145.57/145.81  Found (False_rect0 (p V0)) as proof of (p V0)
% 145.57/145.81  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 145.57/145.81  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 145.57/145.81  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 145.57/145.81  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 145.57/145.81  Found (False_rect0 (p V0)) as proof of (p V0)
% 145.57/145.81  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 145.57/145.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 145.57/145.81  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 145.57/145.81  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 145.57/145.81  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 145.57/145.81  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V01)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 145.57/145.81  Found a10:=(a1 V):((rel_s4 V) V)
% 145.57/145.81  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (x5 (a1 V)) as proof of False
% 148.87/149.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 148.87/149.12  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V00)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found a10:=(a1 V):((rel_s4 V) V)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 148.87/149.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (x5 (a1 V)) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (x5 (a1 V)) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (x5 (a1 V)) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found a10:=(a1 V):((rel_s4 V) V)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (a1 V) as proof of ((rel_s4 V) V01)
% 151.02/151.23  Found (x5 (a1 V)) as proof of False
% 151.02/151.23  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 152.42/152.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (x5 (a1 V)) as proof of False
% 152.42/152.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 152.42/152.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (x5 (a1 V)) as proof of False
% 152.42/152.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 152.42/152.68  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.42/152.68  Found a10:=(a1 V):((rel_s4 V) V)
% 152.42/152.68  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (x5 (a1 V)) as proof of False
% 153.80/154.05  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 153.80/154.05  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 153.80/154.05  Found a10:=(a1 V):((rel_s4 V) V)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.80/154.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 155.85/156.07  Found (x5 (a1 V)) as proof of False
% 155.85/156.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 155.85/156.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 155.85/156.07  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 155.85/156.07  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (x5 (a1 V)) as proof of False
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (x5 (a1 V)) as proof of False
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V01)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V02)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V02)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V02)
% 156.96/157.20  Found (x7 (a1 V)) as proof of False
% 156.96/157.20  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 156.96/157.20  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 156.96/157.20  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 156.96/157.20  Found a10:=(a1 V):((rel_s4 V) V)
% 156.96/157.20  Found (a1 V) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 156.96/157.20  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 156.96/157.20  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (x5 (a1 V)) as proof of False
% 158.26/158.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 158.26/158.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (x7 (a1 V)) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (x7 (a1 V)) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.26/158.53  Found (x7 (a1 V)) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 158.26/158.53  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 158.26/158.53  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 158.26/158.53  Found a10:=(a1 V):((rel_s4 V) V)
% 158.26/158.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found a10:=(a1 T):((rel_s4 T) T)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found a10:=(a1 T):((rel_s4 T) T)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found a10:=(a1 T):((rel_s4 T) T)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found (a1 T) as proof of ((rel_s4 T) V00)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) T)
% 158.83/159.07  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 158.83/159.07  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V01)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.83/159.07  Found (x7 (a1 V)) as proof of False
% 158.83/159.07  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 158.83/159.07  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 158.83/159.07  Found a10:=(a1 V):((rel_s4 V) V)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V02)
% 158.83/159.07  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.04  Found (x7 (a1 V)) as proof of False
% 161.75/162.04  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 161.75/162.04  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 161.75/162.04  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.04  Found (x7 (a1 V)) as proof of False
% 161.75/162.04  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 161.75/162.04  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 161.75/162.04  Found a10:=(a1 T):((rel_s4 T) T)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 161.75/162.04  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 161.75/162.04  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 161.75/162.04  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 161.75/162.04  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 161.75/162.04  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found (a1 V) as proof of ((rel_s4 V) T)
% 161.75/162.04  Found a10:=(a1 T):((rel_s4 T) T)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found a10:=(a1 T):((rel_s4 T) T)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found (a1 T) as proof of ((rel_s4 T) V00)
% 161.75/162.04  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 161.75/162.04  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 161.75/162.05  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 161.75/162.05  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 161.75/162.05  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 161.75/162.05  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 161.75/162.05  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 161.75/162.05  Found (x7 (a1 V)) as proof of False
% 161.75/162.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 161.75/162.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 161.75/162.05  Found a10:=(a1 V):((rel_s4 V) V)
% 161.75/162.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V01)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found a10:=(a1 V):((rel_s4 V) V)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found (a1 V) as proof of ((rel_s4 V) V00)
% 163.44/163.73  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 163.44/163.73  Found (False_rect0 (p V0)) as proof of (p V0)
% 163.44/163.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 163.44/163.73  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 163.44/163.73  Found (False_rect0 (p V0)) as proof of (p V0)
% 163.44/163.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 163.44/163.73  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 163.44/163.73  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 163.44/163.73  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 163.44/163.73  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 163.44/163.73  Found (False_rect0 (p V0)) as proof of (p V0)
% 163.44/163.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 163.44/163.73  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 163.44/163.73  Found (False_rect0 (p V0)) as proof of (p V0)
% 163.44/163.73  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 163.44/163.73  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 163.44/163.73  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 164.11/164.35  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 164.11/164.35  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 164.11/164.35  Found a10:=(a1 V):((rel_s4 V) V)
% 164.11/164.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 164.11/164.35  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 164.11/164.35  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 166.43/166.66  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found a10:=(a1 V):((rel_s4 V) V)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.43/166.66  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 166.43/166.66  Found (False_rect0 (p V0)) as proof of (p V0)
% 166.43/166.66  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 166.43/166.66  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 166.43/166.66  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 166.92/167.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 166.92/167.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 166.92/167.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 166.92/167.18  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 166.92/167.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 166.92/167.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 166.92/167.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 166.92/167.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 166.92/167.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 166.92/167.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 166.92/167.18  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 166.92/167.18  Found a10:=(a1 V):((rel_s4 V) V)
% 166.92/167.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 167.53/167.83  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 167.53/167.83  Found a10:=(a1 V):((rel_s4 V) V)
% 167.53/167.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 167.53/167.83  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 167.53/167.83  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V00)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) V01)
% 172.82/173.06  Found a10:=(a1 V):((rel_s4 V) V)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) T)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) T)
% 172.82/173.06  Found (a1 V) as proof of ((rel_s4 V) T)
% 172.82/173.06  Found a10:=(a1 T):((rel_s4 T) T)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found a10:=(a1 T):((rel_s4 T) T)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found (a1 T) as proof of ((rel_s4 T) V00)
% 172.82/173.06  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 172.82/173.06  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) T)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) T)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) T)
% 176.82/177.08  Found a10:=(a1 T):((rel_s4 T) T)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found a10:=(a1 T):((rel_s4 T) T)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found (a1 T) as proof of ((rel_s4 T) V00)
% 176.82/177.08  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 176.82/177.08  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found a10:=(a1 V):((rel_s4 V) V)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 176.82/177.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 180.54/180.78  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 180.54/180.78  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 180.54/180.78  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 180.54/180.78  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 180.54/180.78  Found a10:=(a1 V):((rel_s4 V) V)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 180.54/180.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 182.30/182.55  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 182.30/182.55  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 182.30/182.55  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 182.30/182.55  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V00)
% 182.30/182.55  Found a10:=(a1 V):((rel_s4 V) V)
% 182.30/182.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 185.22/185.46  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found a10:=(a1 V):((rel_s4 V) V)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (a1 V) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 185.22/185.46  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 188.61/188.87  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (x5 (a1 V)) as proof of False
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V02)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V02)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V02)
% 188.61/188.87  Found (x7 (a1 V)) as proof of False
% 188.61/188.87  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 188.61/188.87  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 188.61/188.87  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 188.61/188.87  Found (False_rect0 (p V0)) as proof of (p V0)
% 188.61/188.87  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 188.61/188.87  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 188.61/188.87  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 188.61/188.87  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 188.61/188.87  Found (False_rect0 (p V0)) as proof of (p V0)
% 188.61/188.87  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 188.61/188.87  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 188.61/188.87  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 188.61/188.87  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 188.61/188.87  Found (x5 (a1 V)) as proof of False
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 188.61/188.87  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 188.61/188.87  Found a10:=(a1 V):((rel_s4 V) V)
% 188.61/188.87  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (x5 (a1 V)) as proof of False
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V00)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (x7 (a1 V)) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (x7 (a1 V)) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V02)
% 190.73/191.00  Found (x7 (a1 V)) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 190.73/191.00  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 190.73/191.00  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 190.73/191.00  Found (False_rect0 (p V0)) as proof of (p V0)
% 190.73/191.00  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 190.73/191.00  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 190.73/191.00  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 190.73/191.00  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 190.73/191.00  Found (False_rect0 (p V0)) as proof of (p V0)
% 190.73/191.00  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 190.73/191.00  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 190.73/191.00  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 190.73/191.00  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 190.73/191.00  Found a10:=(a1 V):((rel_s4 V) V)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (a1 V) as proof of ((rel_s4 V) V01)
% 190.73/191.00  Found (x5 (a1 V)) as proof of False
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 190.73/191.00  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (x7 (a1 V)) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (x7 (a1 V)) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (x7 (a1 V)) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V02)
% 194.62/194.86  Found (x7 (a1 V)) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 194.62/194.86  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found a10:=(a1 V):((rel_s4 V) V)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 194.62/194.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.80/197.05  Found a10:=(a1 V):((rel_s4 V) V)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.80/197.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 196.92/197.22  Found a10:=(a1 V):((rel_s4 V) V)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 196.92/197.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 196.92/197.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 198.12/198.36  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V00)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found (a1 V) as proof of ((rel_s4 V) V01)
% 198.12/198.36  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (x5 (a1 V)) as proof of False
% 199.51/199.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 199.51/199.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (x5 (a1 V)) as proof of False
% 199.51/199.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 199.51/199.76  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V00)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found (a1 V) as proof of ((rel_s4 V) V01)
% 199.51/199.76  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 200.52/200.80  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 200.52/200.80  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 200.52/200.80  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 201.50/201.75  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 201.50/201.75  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (x5 (a1 V)) as proof of False
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 201.50/201.75  Found (x5 (a1 V)) as proof of False
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 201.50/201.75  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 201.50/201.75  Found a10:=(a1 V):((rel_s4 V) V)
% 201.50/201.75  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (x5 (a1 V)) as proof of False
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (x5 (a1 V)) as proof of False
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 204.21/204.48  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 204.21/204.48  Found a10:=(a1 V):((rel_s4 V) V)
% 204.21/204.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 204.21/204.48  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 204.21/204.48  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 208.38/208.62  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (x5 (a1 V)) as proof of False
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V01)
% 208.38/208.62  Found (x5 (a1 V)) as proof of False
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 208.38/208.62  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) T)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) T)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) T)
% 208.38/208.62  Found a10:=(a1 T):((rel_s4 T) T)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found a10:=(a1 T):((rel_s4 T) T)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found (a1 T) as proof of ((rel_s4 T) V00)
% 208.38/208.62  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 208.38/208.62  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 208.38/208.62  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 208.38/208.62  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 208.38/208.62  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found (a1 V) as proof of ((rel_s4 V) V00)
% 208.38/208.62  Found a10:=(a1 V):((rel_s4 V) V)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found a10:=(a1 V):((rel_s4 V) V)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) T)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) T)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) T)
% 210.19/210.43  Found a10:=(a1 T):((rel_s4 T) T)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found a10:=(a1 T):((rel_s4 T) T)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found (a1 T) as proof of ((rel_s4 T) V00)
% 210.19/210.43  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 210.19/210.43  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 210.19/210.43  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 210.19/210.43  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 210.19/210.43  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 210.19/210.43  Found (False_rect0 (p V0)) as proof of (p V0)
% 210.19/210.43  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 210.19/210.43  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 210.19/210.43  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 210.19/210.43  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 210.19/210.43  Found (False_rect0 (p V0)) as proof of (p V0)
% 210.19/210.43  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 210.19/210.43  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 210.19/210.43  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 210.19/210.43  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 210.19/210.43  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 210.19/210.43  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 210.19/210.43  Found a10:=(a1 V):((rel_s4 V) V)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V00)
% 210.19/210.43  Found a10:=(a1 V):((rel_s4 V) V)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (x7 (a1 V)) as proof of False
% 210.19/210.43  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 210.19/210.43  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 210.19/210.43  Found a10:=(a1 V):((rel_s4 V) V)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (a1 V) as proof of ((rel_s4 V) V02)
% 210.19/210.43  Found (x7 (a1 V)) as proof of False
% 210.19/210.43  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 210.19/210.43  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 213.61/213.89  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 213.61/213.89  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 213.61/213.89  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 213.61/213.89  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 213.61/213.89  Found (False_rect0 (p V0)) as proof of (p V0)
% 213.61/213.89  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 213.61/213.89  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 213.61/213.89  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 213.61/213.89  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 213.61/213.89  Found (False_rect0 (p V0)) as proof of (p V0)
% 213.61/213.89  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 213.61/213.89  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 213.61/213.89  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 213.61/213.89  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 213.61/213.89  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 213.61/213.89  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V00)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (x7 (a1 V)) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (x7 (a1 V)) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (x7 (a1 V)) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 213.61/213.89  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 213.61/213.89  Found a10:=(a1 V):((rel_s4 V) V)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 213.61/213.89  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (x7 (a1 V)) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 216.11/216.39  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (x7 (a1 V)) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 216.11/216.39  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V02)
% 216.11/216.39  Found (x7 (a1 V)) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 216.11/216.39  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 216.11/216.39  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 216.11/216.40  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 216.11/216.40  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 216.11/216.40  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 216.11/216.40  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V01)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 216.11/216.40  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 216.11/216.40  Found a10:=(a1 V):((rel_s4 V) V)
% 216.11/216.40  Found (a1 V) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 216.11/216.40  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 216.11/216.40  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 218.24/218.49  Found (x7 (a1 V)) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 218.24/218.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 218.24/218.49  Found a10:=(a1 V):((rel_s4 V) V)
% 218.24/218.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 218.24/218.49  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 218.24/218.49  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 219.29/219.59  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 219.29/219.59  Found a10:=(a1 V):((rel_s4 V) V)
% 219.29/219.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V01)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V01)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V01)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 221.51/221.79  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 221.51/221.79  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (x7 (a1 V)) as proof of False
% 221.51/221.79  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 221.51/221.79  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V02)
% 221.51/221.79  Found (x7 (a1 V)) as proof of False
% 221.51/221.79  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 221.51/221.79  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 221.51/221.79  Found a10:=(a1 V):((rel_s4 V) V)
% 221.51/221.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 222.18/222.53  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 222.18/222.53  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V00)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 222.18/222.53  Found a10:=(a1 V):((rel_s4 V) V)
% 222.18/222.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V01)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found a10:=(a1 V):((rel_s4 V) V)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found (a1 V) as proof of ((rel_s4 V) V00)
% 224.88/225.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 224.88/225.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 224.88/225.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 224.88/225.18  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 224.88/225.18  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 224.88/225.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 224.88/225.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 224.88/225.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 224.88/225.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 224.88/225.18  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 224.88/225.18  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 224.88/225.18  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 224.88/225.18  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 224.88/225.18  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 224.88/225.18  Found (False_rect0 (p V0)) as proof of (p V0)
% 224.88/225.18  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 224.88/225.18  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 227.40/227.72  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.40/227.72  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.40/227.72  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 227.40/227.72  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.40/227.72  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.40/227.72  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 227.40/227.72  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.40/227.72  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.40/227.72  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.40/227.72  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 227.40/227.72  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V00)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 227.40/227.72  Found a10:=(a1 V):((rel_s4 V) V)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) T)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) T)
% 227.40/227.72  Found (a1 V) as proof of ((rel_s4 V) T)
% 227.40/227.72  Found a10:=(a1 T):((rel_s4 T) T)
% 227.40/227.72  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found a10:=(a1 T):((rel_s4 T) T)
% 227.87/228.17  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found (a1 T) as proof of ((rel_s4 T) V00)
% 227.87/228.17  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 227.87/228.17  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 227.87/228.17  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 227.87/228.17  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 227.87/228.17  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 227.87/228.17  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 227.87/228.17  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 227.87/228.17  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 227.87/228.17  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 227.87/228.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.87/228.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.87/228.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 227.87/228.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.87/228.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.87/228.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 227.87/228.17  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.87/228.17  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.87/228.17  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.87/228.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.87/228.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.87/228.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 227.87/228.17  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 227.87/228.17  Found (False_rect0 (p V0)) as proof of (p V0)
% 227.87/228.17  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 227.87/228.17  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 227.87/228.17  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.87/228.17  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 227.87/228.17  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 231.31/231.63  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 231.31/231.63  Found (False_rect0 (p V0)) as proof of (p V0)
% 231.31/231.63  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 231.31/231.63  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 231.31/231.63  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 231.31/231.63  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 231.31/231.63  Found (False_rect0 (p V0)) as proof of (p V0)
% 231.31/231.63  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 231.31/231.63  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 231.31/231.63  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 231.31/231.63  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 231.31/231.63  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 231.31/231.63  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 231.31/231.63  Found a10:=(a1 T):((rel_s4 T) T)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found a10:=(a1 V):((rel_s4 V) V)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found a10:=(a1 V):((rel_s4 V) V)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 231.31/231.63  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 231.31/231.63  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 231.31/231.63  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 231.31/231.63  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found a10:=(a1 V):((rel_s4 V) V)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) V00)
% 231.31/231.63  Found a10:=(a1 T):((rel_s4 T) T)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found (a1 T) as proof of ((rel_s4 T) V00)
% 231.31/231.63  Found a10:=(a1 V):((rel_s4 V) V)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found a10:=(a1 V):((rel_s4 V) V)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found (a1 V) as proof of ((rel_s4 V) T)
% 231.31/231.63  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 231.31/231.63  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found a10:=(a1 V):((rel_s4 V) V)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found a10:=(a1 V):((rel_s4 V) V)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found a10:=(a1 V):((rel_s4 V) V)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) T)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) T)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) T)
% 235.62/235.93  Found a10:=(a1 T):((rel_s4 T) T)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found a10:=(a1 T):((rel_s4 T) T)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found (a1 T) as proof of ((rel_s4 T) V00)
% 235.62/235.93  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found a10:=(a1 V):((rel_s4 V) V)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found a10:=(a1 V):((rel_s4 V) V)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found (a1 V) as proof of ((rel_s4 V) V01)
% 235.62/235.93  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 235.62/235.93  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 235.62/235.93  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 240.19/240.49  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 240.19/240.49  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 240.19/240.49  Found a10:=(a1 V):((rel_s4 V) V)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 240.19/240.49  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 240.19/240.49  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 240.19/240.49  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 240.19/240.49  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 241.75/242.08  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 241.75/242.08  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 241.75/242.08  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 241.75/242.08  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 241.75/242.08  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found a10:=(a1 V):((rel_s4 V) V)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 241.75/242.08  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V01)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 243.76/244.04  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 243.76/244.04  Found a10:=(a1 V):((rel_s4 V) V)
% 243.76/244.04  Found (a1 V) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 243.76/244.04  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 243.76/244.04  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 244.49/244.80  Found a10:=(a1 V):((rel_s4 V) V)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 244.49/244.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (x5 (a1 V)) as proof of False
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (x5 (a1 V)) as proof of False
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 248.05/248.35  Found a10:=(a1 V):((rel_s4 V) V)
% 248.05/248.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 248.05/248.35  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.05/248.35  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 248.35/248.66  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.66  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 248.35/248.67  Found a10:=(a1 V):((rel_s4 V) V)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 248.35/248.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (x5 (a1 V)) as proof of False
% 249.66/249.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 249.66/249.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (x5 (a1 V)) as proof of False
% 249.66/249.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 249.66/249.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found a10:=(a1 V):((rel_s4 V) V)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 249.66/249.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (x5 (a1 V)) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (x5 (a1 V)) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V02)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V00)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (x5 (a1 V)) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 252.60/252.90  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 252.60/252.90  Found a10:=(a1 V):((rel_s4 V) V)
% 252.60/252.90  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found (x5 (a1 V)) as proof of False
% 254.51/254.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 254.51/254.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 254.51/254.80  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 254.51/254.80  Found (False_rect0 (p V0)) as proof of (p V0)
% 254.51/254.80  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 254.51/254.80  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 254.51/254.80  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 254.51/254.80  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 254.51/254.80  Found (False_rect0 (p V0)) as proof of (p V0)
% 254.51/254.80  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 254.51/254.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 254.51/254.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 254.51/254.80  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 254.51/254.80  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 254.51/254.80  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found a10:=(a1 V):((rel_s4 V) V)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 254.51/254.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (x7 (a1 V)) as proof of False
% 256.66/256.95  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 256.66/256.95  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V02)
% 256.66/256.95  Found (x7 (a1 V)) as proof of False
% 256.66/256.95  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 256.66/256.95  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 256.66/256.95  Found (False_rect0 (p V0)) as proof of (p V0)
% 256.66/256.95  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 256.66/256.95  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 256.66/256.95  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 256.66/256.95  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 256.66/256.95  Found (False_rect0 (p V0)) as proof of (p V0)
% 256.66/256.95  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 256.66/256.95  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 256.66/256.95  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 256.66/256.95  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 256.66/256.95  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 256.66/256.95  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V00)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found (a1 V) as proof of ((rel_s4 V) V01)
% 256.66/256.95  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V01)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (x7 (a1 V)) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (x7 (a1 V)) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (x7 (a1 V)) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 259.34/259.64  Found a10:=(a1 V):((rel_s4 V) V)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (a1 V) as proof of ((rel_s4 V) V02)
% 259.34/259.64  Found (x7 (a1 V)) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 259.34/259.64  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (x7 (a1 V)) as proof of False
% 260.93/261.22  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 260.93/261.22  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V02)
% 260.93/261.22  Found (x7 (a1 V)) as proof of False
% 260.93/261.22  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 260.93/261.22  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V01)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 260.93/261.22  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 260.93/261.22  Found a10:=(a1 V):((rel_s4 V) V)
% 260.93/261.22  Found (a1 V) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 260.93/261.22  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 260.93/261.22  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V02)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V00)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.48/262.78  Found a10:=(a1 V):((rel_s4 V) V)
% 262.48/262.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V02)
% 264.54/264.88  Found (x7 (a1 V)) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 264.54/264.88  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 264.54/264.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 264.54/264.88  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (x5 (a1 V)) as proof of False
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 265.50/265.83  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 265.50/265.83  Found a10:=(a1 V):((rel_s4 V) V)
% 265.50/265.83  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 265.50/265.83  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.50/265.83  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 265.93/266.25  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 265.93/266.25  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V00)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found a10:=(a1 V):((rel_s4 V) V)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.93/266.25  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (x7 (a1 V)) as proof of False
% 267.17/267.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 267.17/267.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V02)
% 267.17/267.49  Found (x7 (a1 V)) as proof of False
% 267.17/267.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 267.17/267.49  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V01)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found a10:=(a1 V):((rel_s4 V) V)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 267.17/267.49  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (x5 (a1 V)) as proof of False
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (x5 (a1 V)) as proof of False
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 268.67/268.98  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 268.67/268.98  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 268.67/268.98  Found a10:=(a1 V):((rel_s4 V) V)
% 268.67/268.98  Found (a1 V) as proof of ((rel_s4 V) V00)
% 268.67/268.98  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 270.39/270.71  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 270.39/270.71  Found (False_rect0 (p V0)) as proof of (p V0)
% 270.39/270.71  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 270.39/270.71  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 270.39/270.71  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 270.39/270.71  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 270.39/270.71  Found (False_rect0 (p V0)) as proof of (p V0)
% 270.39/270.71  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 270.39/270.71  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 270.39/270.71  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 270.39/270.71  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 270.39/270.71  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 270.39/270.71  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 270.39/270.71  Found (x5 (a1 V)) as proof of False
% 270.39/270.71  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of False
% 270.39/270.71  Found (fun (x5:(((rel_s4 V) V01)->False))=> (x5 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) V00)
% 270.39/270.71  Found a10:=(a1 T):((rel_s4 T) T)
% 270.39/270.71  Found (a1 T) as proof of ((rel_s4 T) V00)
% 270.39/270.71  Found (a1 T) as proof of ((rel_s4 T) V00)
% 270.39/270.71  Found (a1 T) as proof of ((rel_s4 T) V00)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found a10:=(a1 V):((rel_s4 V) V)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found (a1 V) as proof of ((rel_s4 V) T)
% 270.39/270.71  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 272.57/272.91  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 272.57/272.91  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 272.57/272.91  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 272.57/272.91  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 272.57/272.91  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V01)
% 272.57/272.91  Found a10:=(a1 V):((rel_s4 V) V)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found (a1 V) as proof of ((rel_s4 V) V00)
% 272.57/272.91  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 272.57/272.91  Found (False_rect0 (p V0)) as proof of (p V0)
% 272.57/272.91  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 272.57/272.91  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 272.57/272.91  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 272.57/272.91  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 272.57/272.91  Found (False_rect0 (p V0)) as proof of (p V0)
% 272.57/272.91  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 272.57/272.91  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 272.57/272.91  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 272.57/272.91  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 272.57/272.91  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 273.08/273.38  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.08/273.38  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 273.08/273.38  Found (False_rect0 (p V0)) as proof of (p V0)
% 273.08/273.38  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 273.08/273.38  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 273.08/273.38  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 273.08/273.38  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 273.08/273.38  Found (False_rect0 (p V0)) as proof of (p V0)
% 273.08/273.38  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 273.08/273.38  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 273.08/273.38  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 273.08/273.38  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 273.08/273.38  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 273.08/273.38  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 273.08/273.38  Found a10:=(a1 T):((rel_s4 T) T)
% 273.08/273.38  Found (a1 T) as proof of ((rel_s4 T) V00)
% 273.08/273.38  Found (a1 T) as proof of ((rel_s4 T) V00)
% 273.08/273.38  Found (a1 T) as proof of ((rel_s4 T) V00)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found a10:=(a1 V):((rel_s4 V) V)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found (a1 V) as proof of ((rel_s4 V) T)
% 273.08/273.38  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 273.08/273.38  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 273.08/273.38  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) T)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) T)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) T)
% 275.76/276.09  Found a10:=(a1 T):((rel_s4 T) T)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found a10:=(a1 T):((rel_s4 T) T)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found (a1 T) as proof of ((rel_s4 T) V00)
% 275.76/276.09  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 275.76/276.09  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V00)
% 275.76/276.09  Found a10:=(a1 V):((rel_s4 V) V)
% 275.76/276.09  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found a10:=(a1 V):((rel_s4 V) V)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 276.83/277.15  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 276.83/277.15  Found (False_rect0 (p V0)) as proof of (p V0)
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 276.83/277.15  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 276.83/277.15  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 276.83/277.15  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 276.83/277.15  Found (False_rect0 (p V0)) as proof of (p V0)
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 276.83/277.15  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 276.83/277.15  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 276.83/277.15  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 276.83/277.15  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 276.83/277.15  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 276.83/277.15  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 276.83/277.15  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 276.83/277.15  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 T):((rel_s4 T) T)
% 280.89/281.21  Found (a1 T) as proof of ((rel_s4 T) V00)
% 280.89/281.21  Found (a1 T) as proof of ((rel_s4 T) V00)
% 280.89/281.21  Found (a1 T) as proof of ((rel_s4 T) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) T)
% 280.89/281.21  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 280.89/281.21  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 280.89/281.21  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 280.89/281.21  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 280.89/281.21  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.89/281.21  Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.21  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found False_rect00:=(False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))):((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found (False_rect0 ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00))) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 282.35/282.67  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 V) T)) ((rel_s4 T) V00)))) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found a10:=(a1 V):((rel_s4 V) V)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found a10:=(a1 V):((rel_s4 V) V)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V01)
% 282.35/282.67  Found a10:=(a1 V):((rel_s4 V) V)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found (a1 V) as proof of ((rel_s4 V) V00)
% 282.35/282.67  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 282.35/282.67  Found (False_rect0 (p V0)) as proof of (p V0)
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 282.35/282.67  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 282.35/282.67  Found (False_rect0 (p V0)) as proof of (p V0)
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 282.35/282.67  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 282.35/282.67  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 282.35/282.67  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 282.35/282.67  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 282.35/282.67  Found (False_rect0 (p V0)) as proof of (p V0)
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 282.35/282.67  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 282.35/282.67  Found (False_rect0 (p V0)) as proof of (p V0)
% 282.35/282.67  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 282.35/282.67  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 282.35/282.67  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 284.86/285.19  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 284.86/285.19  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found a10:=(a1 V):((rel_s4 V) V)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 284.86/285.19  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 285.73/286.02  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V01)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found a10:=(a1 V):((rel_s4 V) V)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found (a1 V) as proof of ((rel_s4 V) V00)
% 285.73/286.02  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 285.73/286.02  Found (False_rect0 (p V0)) as proof of (p V0)
% 285.73/286.02  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 285.73/286.02  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 285.73/286.02  Found (False_rect0 (p V0)) as proof of (p V0)
% 285.73/286.02  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 285.73/286.02  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 285.73/286.02  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 285.73/286.02  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) as proof of (p V0)
% 285.73/286.02  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 285.73/286.02  Found (False_rect0 (p V0)) as proof of (p V0)
% 285.73/286.02  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 285.73/286.02  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 285.73/286.02  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 285.73/286.02  Found (False_rect0 (p V0)) as proof of (p V0)
% 288.16/288.47  Found ((fun (P:Type)=> ((False_rect P) x31)) (p V0)) as proof of (p V0)
% 288.16/288.47  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of (p V0)
% 288.16/288.47  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 288.16/288.47  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 288.16/288.47  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 288.16/288.47  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 288.16/288.47  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V02)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V02)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V02)
% 288.16/288.47  Found (x7 (a1 V)) as proof of False
% 288.16/288.47  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 288.16/288.47  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.16/288.47  Found a10:=(a1 V):((rel_s4 V) V)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.16/288.47  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 288.55/288.86  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 288.55/288.86  Found a10:=(a1 T):((rel_s4 T) T)
% 288.55/288.86  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.55/288.86  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.55/288.86  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.55/288.86  Found a10:=(a1 V):((rel_s4 V) V)
% 288.55/288.86  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) T)
% 288.64/288.96  Found a10:=(a1 T):((rel_s4 T) T)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found a10:=(a1 T):((rel_s4 T) T)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found (a1 T) as proof of ((rel_s4 T) V00)
% 288.64/288.96  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 288.64/288.96  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (fun (x5:((mnot p) V01))=> (a1 V)) as proof of (((mnot p) V01)->((rel_s4 V) V00))
% 288.64/288.96  Found a10:=(a1 V):((rel_s4 V) V)
% 288.64/288.96  Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V)) as proof of ((((rel_s4 V) V01)->False)->((rel_s4 V) V00))
% 288.64/288.96  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 288.64/288.96  Found (((or_ind2 ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) ((rel_s4 V) V00)) (fun (x5:(((rel_s4 V) V01)->False))=> (a1 V))) (fun (x5:((mnot p) V01))=> (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V01)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 V):((rel_s4 V) V)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) T)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) T)
% 289.18/289.48  Found (a1 V) as proof of ((rel_s4 V) T)
% 289.18/289.48  Found a10:=(a1 T):((rel_s4 T) T)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found a10:=(a1 T):((rel_s4 T) T)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 289.18/289.48  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 289.18/289.48  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 289.18/289.48  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 289.18/289.48  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 289.18/289.48  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 289.18/289.48  Found a10:=(a1 T):((rel_s4 T) T)
% 289.18/289.48  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 291.58/291.92  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 291.58/291.92  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 291.58/291.92  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 291.58/291.92  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 291.58/291.92  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (x7 (a1 V)) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (x7 (a1 V)) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V02)
% 291.58/291.92  Found (x7 (a1 V)) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 291.58/291.92  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) V01)
% 291.58/291.92  Found a10:=(a1 T):((rel_s4 T) T)
% 291.58/291.92  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found (a1 T) as proof of ((rel_s4 T) V00)
% 291.58/291.92  Found a10:=(a1 V):((rel_s4 V) V)
% 291.58/291.92  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 T):((rel_s4 T) T)
% 292.63/292.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 292.63/292.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 292.63/292.94  Found (a1 T) as proof of ((rel_s4 T) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) T)
% 292.63/292.94  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 292.63/292.94  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V01)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found a10:=(a1 V):((rel_s4 V) V)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 292.63/292.94  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V01)
% 293.25/293.59  Found a10:=(a1 T):((rel_s4 T) T)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found ((a200 V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> ((a20 T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V00) ((((conj ((rel_s4 V) V00)) ((rel_s4 V00) V00)) (a1 V)) (a1 V00))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) T)
% 293.25/293.59  Found a10:=(a1 T):((rel_s4 T) T)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found a10:=(a1 T):((rel_s4 T) T)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found (a1 T) as proof of ((rel_s4 T) V00)
% 293.25/293.59  Found ((conj00 (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found (((conj0 ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T)) as proof of ((and ((rel_s4 V) T)) ((rel_s4 T) V00))
% 293.25/293.59  Found (a2000 ((((conj ((rel_s4 V) T)) ((rel_s4 T) V00)) (a1 V)) (a1 T))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found ((a200 V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> ((a20 T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (((fun (T:fofType)=> (((a2 V) T) V00)) V) ((((conj ((rel_s4 V) V)) ((rel_s4 V) V00)) (a1 V)) (a1 V))) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found a10:=(a1 V):((rel_s4 V) V)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 293.25/293.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (x7 (a1 V)) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (x7 (a1 V)) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (x7 (a1 V)) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 297.74/298.05  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V02)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V01)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found a10:=(a1 V):((rel_s4 V) V)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.74/298.05  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 297.74/298.05  Found (False_rect0 (p V0)) as proof of (p V0)
% 297.74/298.05  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 297.74/298.05  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 297.74/298.05  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 297.74/298.05  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 297.74/298.05  Found (False_rect0 (p V0)) as proof of (p V0)
% 297.74/298.05  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 297.74/298.05  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 297.74/298.05  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 299.46/299.80  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.46/299.80  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.46/299.80  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.46/299.80  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.46/299.80  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 299.46/299.80  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.46/299.80  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.46/299.80  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.46/299.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.46/299.80  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 299.46/299.80  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (x7 (a1 V)) as proof of False
% 299.46/299.80  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of False
% 299.46/299.80  Found (fun (x7:(((rel_s4 V) V02)->False))=> (x7 (a1 V))) as proof of ((((rel_s4 V) V02)->False)->False)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.46/299.80  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V02)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found a10:=(a1 V):((rel_s4 V) V)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found (a1 V) as proof of ((rel_s4 V) V00)
% 299.53/299.85  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.53/299.85  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.53/299.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 299.53/299.85  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.53/299.85  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.53/299.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 299.53/299.85  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.53/299.85  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.53/299.85  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((or_ind (((rel_s4 V) V01)->False)) ((mnot p) V01)) P) x5) x6) x4)) (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.53/299.85  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.53/299.85  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.53/299.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (((mnot p) V01)->(p V0))
% 299.53/299.85  Found False_rect00:=(False_rect0 (p V0)):(p V0)
% 299.53/299.85  Found (False_rect0 (p V0)) as proof of (p V0)
% 299.53/299.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (p V0)) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of (p V0)
% 299.53/299.85  Found (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0))) as proof of ((((rel_s4 V) V01)->False)->(p V0))
% 299.53/299.85  Found ((or_ind20 (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.53/299.85  Found (((or_ind2 (p V0)) (fun (x5:(((rel_s4 V) V01)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) (fun (x5:((mnot p) V01))=> ((fun (P:Type)=> ((False_rect P) x30)) (p V0)))) as proof of (p V0)
% 299.53/299.85  Found ((((fun (P:Prop) (x5:((((rel_s4 V) V01)->False)->P)) (x6:(((mnot p) V01)->P))=> ((((((o
%------------------------------------------------------------------------------