TSTP Solution File: SYO574^7 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO574^7 : TPTP v7.5.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 00:52:08 EDT 2022

% Result   : Timeout 288.53s 288.87s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYO574^7 : TPTP v7.5.0. Released v5.5.0.
% 0.12/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n020.cluster.edu
% 0.12/0.33  % Model      : x86_64 x86_64
% 0.12/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % RAMPerCPU  : 8042.1875MB
% 0.12/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % DateTime   : Sun Mar 13 21:48:11 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.43/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.43/0.61  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^0.ax, trying next directory
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x23d2fc8>, <kernel.Type object at 0x23d2cf8>) of role type named mu_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring mu:Type
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x23d2f80>, <kernel.DependentProduct object at 0x23d3cf8>) of role type named qmltpeq_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring qmltpeq:(mu->(mu->(fofType->Prop)))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2b9650fa4998>, <kernel.DependentProduct object at 0x2b9650fa4878>) of role type named meq_prop_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.61  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.43/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.43/0.61  Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2b9650fa46c8>, <kernel.DependentProduct object at 0x23cf098>) of role type named mnot_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.43/0.61  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.43/0.61  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.43/0.61  Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2b9650fa4440>, <kernel.DependentProduct object at 0x23cf518>) of role type named mor_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.61  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.43/0.61  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.43/0.61  Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2b9650fa4440>, <kernel.DependentProduct object at 0x23cfcf8>) of role type named mbox_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.61  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
% 0.43/0.61  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)))))
% 0.43/0.61  Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.43/0.61  FOF formula (<kernel.Constant object at 0x2b9650fa4440>, <kernel.DependentProduct object at 0x23cf7e8>) of role type named mforall_prop_type
% 0.43/0.61  Using role type
% 0.43/0.61  Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.43/0.61  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.43/0.61  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.43/0.61  Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cff38>, <kernel.DependentProduct object at 0x23cfa28>) of role type named mtrue_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mtrue:(fofType->Prop)
% 0.43/0.62  FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.43/0.62  A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.43/0.62  Defined: mtrue:=(fun (W:fofType)=> True)
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cfa28>, <kernel.DependentProduct object at 0x23cf518>) of role type named mfalse_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mfalse:(fofType->Prop)
% 0.43/0.62  FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.43/0.62  A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.43/0.62  Defined: mfalse:=(mnot mtrue)
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cf128>, <kernel.DependentProduct object at 0x23cf830>) of role type named mand_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.43/0.62  Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cf830>, <kernel.DependentProduct object at 0x23cfe18>) of role type named mimplies_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.43/0.62  Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cfe18>, <kernel.DependentProduct object at 0x23cf368>) of role type named mimplied_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.43/0.62  Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cf368>, <kernel.DependentProduct object at 0x23cfa28>) of role type named mequiv_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.43/0.62  Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.43/0.62  FOF formula (<kernel.Constant object at 0x23cfa28>, <kernel.DependentProduct object at 0x23cf248>) of role type named mxor_type
% 0.43/0.62  Using role type
% 0.43/0.62  Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62  FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.43/0.62  A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.46/0.63  Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23cf248>, <kernel.DependentProduct object at 0x23cfc68>) of role type named mdia_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63  FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.46/0.63  A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.46/0.63  Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23cf248>, <kernel.DependentProduct object at 0x23ce7e8>) of role type named exists_in_world_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring exists_in_world:(mu->(fofType->Prop))
% 0.46/0.63  FOF formula (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))) of role axiom named nonempty_ax
% 0.46/0.63  A new axiom: (forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V))))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23cf248>, <kernel.DependentProduct object at 0x23ce950>) of role type named mforall_ind_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63  FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))) of role definition named mforall_ind
% 0.46/0.63  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))))
% 0.46/0.63  Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W))))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23ce9e0>, <kernel.DependentProduct object at 0x23ce830>) of role type named mexists_ind_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63  FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.46/0.63  A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.46/0.63  Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23ce0e0>, <kernel.DependentProduct object at 0x2b96494d11b8>) of role type named mexists_prop_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.63  FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.46/0.63  A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.46/0.63  Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.46/0.63  FOF formula (<kernel.Constant object at 0x23ce7e8>, <kernel.DependentProduct object at 0x2b96494d1368>) of role type named mreflexive_type
% 0.46/0.63  Using role type
% 0.46/0.63  Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.63  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.46/0.63  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.46/0.63  Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x23ce7e8>, <kernel.DependentProduct object at 0x2b96494d1440>) of role type named msymmetric_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.46/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.46/0.64  Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x23ce7e8>, <kernel.DependentProduct object at 0x2b96494d1368>) of role type named mserial_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.46/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.46/0.64  Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b96494d1368>, <kernel.DependentProduct object at 0x2b96494d12d8>) of role type named mtransitive_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.46/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.46/0.64  Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b96494d12d8>, <kernel.DependentProduct object at 0x2b96494d1170>) of role type named meuclidean_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.46/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.46/0.64  Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b96494d1170>, <kernel.DependentProduct object at 0x2b96494d13b0>) of role type named mpartially_functional_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.64  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.46/0.64  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.46/0.64  Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.46/0.64  FOF formula (<kernel.Constant object at 0x2b96494d13b0>, <kernel.DependentProduct object at 0x2b96494d1908>) of role type named mfunctional_type
% 0.46/0.64  Using role type
% 0.46/0.64  Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.46/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.46/0.65  Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.46/0.65  FOF formula (<kernel.Constant object at 0x2b96494d1908>, <kernel.DependentProduct object at 0x2b96494d1998>) of role type named mweakly_dense_type
% 0.46/0.65  Using role type
% 0.46/0.65  Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.46/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.46/0.65  Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.46/0.65  FOF formula (<kernel.Constant object at 0x2b96494d1998>, <kernel.DependentProduct object at 0x2b96494d1170>) of role type named mweakly_connected_type
% 0.46/0.65  Using role type
% 0.46/0.65  Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.46/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.46/0.65  Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.46/0.65  FOF formula (<kernel.Constant object at 0x2b96494d1170>, <kernel.DependentProduct object at 0x2b96494d1d88>) of role type named mweakly_directed_type
% 0.46/0.65  Using role type
% 0.46/0.65  Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.46/0.65  FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.46/0.65  A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.46/0.65  Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.46/0.65  FOF formula (<kernel.Constant object at 0x2b96494d1128>, <kernel.DependentProduct object at 0x2b96494d1c20>) of role type named mvalid_type
% 0.46/0.65  Using role type
% 0.46/0.65  Declaring mvalid:((fofType->Prop)->Prop)
% 0.46/0.65  FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.46/0.65  A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.46/0.65  Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2b96494d1170>, <kernel.DependentProduct object at 0x2b96494d18c0>) of role type named msatisfiable_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.46/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.46/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.46/0.67  Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2b96494d1c20>, <kernel.DependentProduct object at 0x2b96494d19e0>) of role type named mcountersatisfiable_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.46/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.46/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.46/0.67  Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2b96494d1170>, <kernel.DependentProduct object at 0x2b96494d1d40>) of role type named minvalid_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring minvalid:((fofType->Prop)->Prop)
% 0.46/0.67  FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.46/0.67  A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.46/0.67  Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.46/0.67  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2667b90>, <kernel.DependentProduct object at 0x23d26c8>) of role type named rel_s4_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring rel_s4:(fofType->(fofType->Prop))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2667ab8>, <kernel.DependentProduct object at 0x23d26c8>) of role type named mbox_s4_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.46/0.67  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
% 0.46/0.67  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)))))
% 0.46/0.67  Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x2667ab8>, <kernel.DependentProduct object at 0x23d26c8>) of role type named mdia_s4_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.46/0.67  FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.46/0.67  A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.46/0.67  Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.46/0.67  FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.46/0.67  A new axiom: (mreflexive rel_s4)
% 0.46/0.67  FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.46/0.67  A new axiom: (mtransitive rel_s4)
% 0.46/0.67  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL015^1.ax, trying next directory
% 0.46/0.67  FOF formula (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))) of role axiom named cumulative_ax
% 0.46/0.67  A new axiom: (forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W)))
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x23aca28>, <kernel.DependentProduct object at 0x23accf8>) of role type named q_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring q:(fofType->Prop)
% 0.46/0.67  FOF formula (<kernel.Constant object at 0x23acd40>, <kernel.DependentProduct object at 0x2b9650fa1710>) of role type named p_type
% 0.46/0.67  Using role type
% 0.46/0.67  Declaring p:(fofType->Prop)
% 0.46/0.67  FOF formula (mvalid ((mimplies (mdia_s4 ((mimplies p) (mbox_s4 q)))) ((mimplies (mbox_s4 p)) (mdia_s4 q)))) of role conjecture named con
% 0.46/0.67  Conjecture to prove = (mvalid ((mimplies (mdia_s4 ((mimplies p) (mbox_s4 q)))) ((mimplies (mbox_s4 p)) (mdia_s4 q)))):Prop
% 0.46/0.67  Parameter mu_DUMMY:mu.
% 0.46/0.67  Parameter fofType_DUMMY:fofType.
% 0.46/0.67  We need to prove ['(mvalid ((mimplies (mdia_s4 ((mimplies p) (mbox_s4 q)))) ((mimplies (mbox_s4 p)) (mdia_s4 q))))']
% 0.46/0.67  Parameter mu:Type.
% 0.46/0.67  Parameter fofType:Type.
% 0.46/0.67  Parameter qmltpeq:(mu->(mu->(fofType->Prop))).
% 0.46/0.67  Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.46/0.67  Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67  Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.46/0.67  Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.46/0.67  Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.67  Parameter exists_in_world:(mu->(fofType->Prop)).
% 0.46/0.67  Axiom nonempty_ax:(forall (V:fofType), ((ex mu) (fun (X:mu)=> ((exists_in_world X) V)))).
% 0.46/0.67  Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), (((exists_in_world X) W)->((Phi X) W)))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67  Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67  Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.67  Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67  Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67  Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67  Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.67  Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 4.56/4.78  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).
% 4.56/4.78  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).
% 4.56/4.78  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).
% 4.56/4.78  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).
% 4.56/4.78  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).
% 4.56/4.78  Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 4.56/4.78  Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 4.56/4.78  Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 4.56/4.78  Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 4.56/4.78  Parameter rel_s4:(fofType->(fofType->Prop)).
% 4.56/4.78  Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 4.56/4.78  Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 4.56/4.78  Axiom a1:(mreflexive rel_s4).
% 4.56/4.78  Axiom a2:(mtransitive rel_s4).
% 4.56/4.78  Axiom cumulative_ax:(forall (X:mu) (V:fofType) (W:fofType), (((and ((exists_in_world X) V)) ((rel_s4 V) W))->((exists_in_world X) W))).
% 4.56/4.78  Parameter q:(fofType->Prop).
% 4.56/4.78  Parameter p:(fofType->Prop).
% 4.56/4.78  Trying to prove (mvalid ((mimplies (mdia_s4 ((mimplies p) (mbox_s4 q)))) ((mimplies (mbox_s4 p)) (mdia_s4 q))))
% 4.56/4.78  Found a10:=(a1 W):((rel_s4 W) W)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (x1 (a1 W)) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.56/4.78  Found a10:=(a1 W):((rel_s4 W) W)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (x1 (a1 W)) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.56/4.78  Found a10:=(a1 W):((rel_s4 W) W)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (x1 (a1 W)) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.56/4.78  Found a10:=(a1 W):((rel_s4 W) W)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (x1 (a1 W)) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 4.56/4.78  Found a10:=(a1 W):((rel_s4 W) W)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (a1 W) as proof of ((rel_s4 W) V)
% 4.56/4.78  Found (x1 (a1 W)) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 4.56/4.78  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 W):((rel_s4 W) W)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (x1 (a1 W)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 W):((rel_s4 W) W)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (x1 (a1 W)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 W):((rel_s4 W) W)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (a1 W) as proof of ((rel_s4 W) V)
% 8.71/8.89  Found (x1 (a1 W)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 S):((rel_s4 S) S)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (a1 S) as proof of ((rel_s4 S) V)
% 8.71/8.89  Found (x1 (a1 S)) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 8.71/8.89  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 8.71/8.89  Found a10:=(a1 V):((rel_s4 V) V)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (x2 (a1 V)) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (x3 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (x3 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (x3 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 13.83/14.02  Found (x3 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (x1 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (x1 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (x1 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.83/14.02  Found a10:=(a1 W):((rel_s4 W) W)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (a1 W) as proof of ((rel_s4 W) V)
% 13.83/14.02  Found (x1 (a1 W)) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 13.83/14.02  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 13.83/14.02  Found a10:=(a1 V):((rel_s4 V) V)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (x2 (a1 V)) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 V):((rel_s4 V) V)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (x2 (a1 V)) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 13.83/14.02  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 13.83/14.02  Found a10:=(a1 V):((rel_s4 V) V)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 13.83/14.02  Found (a1 V) as proof of ((rel_s4 V) V0)
% 16.52/16.74  Found (a1 V) as proof of ((rel_s4 V) V0)
% 16.52/16.74  Found (x2 (a1 V)) as proof of False
% 16.52/16.74  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 16.52/16.74  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (x3 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (x3 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (x3 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (x3 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V)
% 16.52/16.74  Found (x1 (a1 W)) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 16.52/16.74  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 16.52/16.74  Found a10:=(a1 W):((rel_s4 W) W)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 16.52/16.74  Found (x3 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 W):((rel_s4 W) W)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (x3 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 W):((rel_s4 W) W)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (x3 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 W):((rel_s4 W) W)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 18.26/18.43  Found (x3 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 W):((rel_s4 W) W)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (x1 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 18.26/18.43  Found a10:=(a1 W):((rel_s4 W) W)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (a1 W) as proof of ((rel_s4 W) V)
% 18.26/18.43  Found (x1 (a1 W)) as proof of False
% 18.26/18.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 18.26/18.43  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 18.26/18.43  Found a10:=(a1 S):((rel_s4 S) S)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (x3 (a1 S)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 S):((rel_s4 S) S)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (x3 (a1 S)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 S):((rel_s4 S) S)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (x3 (a1 S)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 S):((rel_s4 S) S)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 18.26/18.43  Found (x3 (a1 S)) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 18.26/18.43  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 V):((rel_s4 V) V)
% 18.26/18.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 18.26/18.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 18.26/18.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 18.26/18.43  Found (x2 (a1 V)) as proof of False
% 18.26/18.43  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 18.26/18.43  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 18.26/18.43  Found a10:=(a1 S):((rel_s4 S) S)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.26/18.43  Found (a1 S) as proof of ((rel_s4 S) V)
% 18.26/18.43  Found (x1 (a1 S)) as proof of False
% 18.26/18.43  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 S):((rel_s4 S) S)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (x1 (a1 S)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 V):((rel_s4 V) V)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (x2 (a1 V)) as proof of False
% 21.42/21.62  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 21.42/21.62  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 21.42/21.62  Found a10:=(a1 V):((rel_s4 V) V)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (a1 V) as proof of ((rel_s4 V) V0)
% 21.42/21.62  Found (x2 (a1 V)) as proof of False
% 21.42/21.62  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 21.42/21.62  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 21.42/21.62  Found a10:=(a1 S):((rel_s4 S) S)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (x1 (a1 S)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 S):((rel_s4 S) S)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (a1 S) as proof of ((rel_s4 S) V)
% 21.42/21.62  Found (x1 (a1 S)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (x1 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (x1 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (x1 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V)
% 21.42/21.62  Found (x1 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (x3 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 21.42/21.62  Found a10:=(a1 W):((rel_s4 W) W)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 21.42/21.62  Found (x3 (a1 W)) as proof of False
% 21.42/21.62  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 21.42/21.62  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 W):((rel_s4 W) W)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (x3 (a1 W)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 W):((rel_s4 W) W)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (x3 (a1 W)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 W):((rel_s4 W) W)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (x1 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (x3 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (x1 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (x1 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V)
% 22.84/23.01  Found (x1 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (x3 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 W):((rel_s4 W) W)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (x3 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (x3 (a1 S)) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 22.84/23.01  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 22.84/23.01  Found a10:=(a1 S):((rel_s4 S) S)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 22.84/23.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (x3 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (x3 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (x3 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.80/26.98  Found (x3 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 V):((rel_s4 V) V)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (x2 (a1 V)) as proof of False
% 26.80/26.98  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 26.80/26.98  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 S):((rel_s4 S) S)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (a1 S) as proof of ((rel_s4 S) V)
% 26.80/26.98  Found (x1 (a1 S)) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.80/26.98  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.80/26.98  Found a10:=(a1 V):((rel_s4 V) V)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.80/26.98  Found (x2 (a1 V)) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 V):((rel_s4 V) V)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (x2 (a1 V)) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 V):((rel_s4 V) V)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 29.41/29.64  Found (x2 (a1 V)) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 29.41/29.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 W):((rel_s4 W) W)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found a10:=(a1 W):((rel_s4 W) W)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (x1 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V)
% 29.41/29.64  Found (x1 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 29.41/29.64  Found a10:=(a1 W):((rel_s4 W) W)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found a10:=(a1 W):((rel_s4 W) W)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (x3 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (x3 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (x3 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (x3 (a1 S)) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 29.41/29.64  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 29.41/29.64  Found a10:=(a1 S):((rel_s4 S) S)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 29.41/29.64  Found a10:=(a1 W):((rel_s4 W) W)
% 29.41/29.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 32.59/32.79  Found (x3 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (x1 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 32.59/32.79  Found a10:=(a1 W):((rel_s4 W) W)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (a1 W) as proof of ((rel_s4 W) V)
% 32.59/32.79  Found (x1 (a1 W)) as proof of False
% 32.59/32.79  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 32.59/32.79  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 32.59/32.79  Found a10:=(a1 V):((rel_s4 V) V)
% 32.59/32.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.59/32.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.59/32.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.59/32.79  Found (x3 (a1 V)) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 32.59/32.79  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 32.59/32.79  Found a10:=(a1 V):((rel_s4 V) V)
% 32.59/32.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 32.59/32.79  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V00)
% 36.39/36.64  Found (x3 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 W):((rel_s4 W) W)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found a10:=(a1 W):((rel_s4 W) W)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found (a1 W) as proof of ((rel_s4 W) V0)
% 36.39/36.64  Found a10:=(a1 V):((rel_s4 V) V)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (a1 V) as proof of ((rel_s4 V) V0)
% 36.39/36.64  Found (x2 (a1 V)) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 36.39/36.64  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 36.39/36.64  Found a10:=(a1 S):((rel_s4 S) S)
% 36.39/36.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 36.39/36.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 36.39/36.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 36.39/36.64  Found a10:=(a1 S):((rel_s4 S) S)
% 36.39/36.64  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found a10:=(a1 S):((rel_s4 S) S)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found a10:=(a1 S):((rel_s4 S) S)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found (a1 S) as proof of ((rel_s4 S) V0)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (x1 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V)
% 39.06/39.27  Found (x1 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 39.06/39.27  Found a10:=(a1 W):((rel_s4 W) W)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (a1 W) as proof of ((rel_s4 W) V0)
% 39.06/39.27  Found (x3 (a1 W)) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 39.06/39.27  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (x1 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V)
% 40.91/41.12  Found (x1 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (x3 (a1 W)) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 40.91/41.12  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 40.91/41.12  Found a10:=(a1 W):((rel_s4 W) W)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found (a1 W) as proof of ((rel_s4 W) V0)
% 40.91/41.12  Found a10:=(a1 S):((rel_s4 S) S)
% 40.91/41.12  Found (a1 S) as proof of ((rel_s4 S) V0)
% 40.91/41.12  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 V):((rel_s4 V) V)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (x2 (a1 V)) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 V):((rel_s4 V) V)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (x2 (a1 V)) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 V):((rel_s4 V) V)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V0)
% 43.15/43.37  Found (x2 (a1 V)) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 43.15/43.37  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 S):((rel_s4 S) S)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (a1 S) as proof of ((rel_s4 S) V0)
% 43.15/43.37  Found (x3 (a1 S)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 43.15/43.37  Found a10:=(a1 V):((rel_s4 V) V)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 43.15/43.37  Found (x3 (a1 V)) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 43.15/43.37  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 43.15/43.37  Found a10:=(a1 V):((rel_s4 V) V)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 43.15/43.37  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (x3 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.61/44.84  Found a10:=(a1 S):((rel_s4 S) S)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V0)
% 44.61/44.84  Found (x3 (a1 S)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (x3 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (x2 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (x2 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (x2 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V0)
% 44.61/44.84  Found (x2 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (x3 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (x3 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.61/44.84  Found a10:=(a1 V):((rel_s4 V) V)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (a1 V) as proof of ((rel_s4 V) V00)
% 44.61/44.84  Found (x3 (a1 V)) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 44.61/44.84  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 44.61/44.84  Found a10:=(a1 S):((rel_s4 S) S)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (x1 (a1 S)) as proof of False
% 44.61/44.84  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 44.61/44.84  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 44.61/44.84  Found a10:=(a1 S):((rel_s4 S) S)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (a1 S) as proof of ((rel_s4 S) V)
% 44.61/44.84  Found (x1 (a1 S)) as proof of False
% 48.97/49.17  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 48.97/49.17  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 48.97/49.17  Found a10:=(a1 V):((rel_s4 V) V)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (x2 (a1 V)) as proof of False
% 48.97/49.17  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 48.97/49.17  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 48.97/49.17  Found a10:=(a1 V):((rel_s4 V) V)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (a1 V) as proof of ((rel_s4 V) V0)
% 48.97/49.17  Found (x2 (a1 V)) as proof of False
% 48.97/49.17  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 48.97/49.17  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 S):((rel_s4 S) S)
% 48.97/49.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 48.97/49.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 48.97/49.17  Found (a1 S) as proof of ((rel_s4 S) V0)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V)
% 48.97/49.17  Found (x1 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (x5 (a1 W)) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 48.97/49.17  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 48.97/49.17  Found a10:=(a1 W):((rel_s4 W) W)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 48.97/49.17  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 51.88/52.11  Found (x5 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V)
% 51.88/52.11  Found (x1 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 51.88/52.11  Found a10:=(a1 S):((rel_s4 S) S)
% 51.88/52.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.88/52.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.88/52.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (x3 (a1 W)) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 51.88/52.11  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found a10:=(a1 W):((rel_s4 W) W)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 51.88/52.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (x3 (a1 W)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 W):((rel_s4 W) W)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 W):((rel_s4 W) W)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found a10:=(a1 W):((rel_s4 W) W)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found a10:=(a1 W):((rel_s4 W) W)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (x3 (a1 S)) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.53/53.72  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.53/53.72  Found a10:=(a1 S):((rel_s4 S) S)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V)
% 53.53/53.72  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (x1 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (x1 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (x1 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V)
% 55.89/56.09  Found (x1 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 55.89/56.09  Found (x3 (a1 S)) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 55.89/56.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 55.89/56.09  Found a10:=(a1 S):((rel_s4 S) S)
% 62.17/62.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.17/62.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.17/62.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 62.17/62.44  Found (x3 (a1 S)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (x2 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (x2 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V0)
% 62.17/62.44  Found (x2 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 V):((rel_s4 V) V)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (a1 V) as proof of ((rel_s4 V) V00)
% 62.17/62.44  Found (x3 (a1 V)) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 62.17/62.44  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 62.17/62.44  Found a10:=(a1 W):((rel_s4 W) W)
% 62.17/62.44  Found (a1 W) as proof of ((rel_s4 W) V1)
% 62.17/62.44  Found (a1 W) as proof of ((rel_s4 W) V1)
% 62.17/62.44  Found (a1 W) as proof of ((rel_s4 W) V1)
% 62.17/62.44  Found (x5 (a1 W)) as proof of False
% 62.17/62.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 62.17/62.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 62.17/62.44  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 S):((rel_s4 S) S)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (x5 (a1 S)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 S):((rel_s4 S) S)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (a1 S) as proof of ((rel_s4 S) V1)
% 63.85/64.13  Found (x5 (a1 S)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 63.85/64.13  Found (x5 (a1 W)) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 63.85/64.13  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 63.85/64.13  Found a10:=(a1 W):((rel_s4 W) W)
% 63.85/64.13  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (x5 (a1 W)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 W):((rel_s4 W) W)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (x5 (a1 W)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 S):((rel_s4 S) S)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (x5 (a1 S)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 S):((rel_s4 S) S)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (x5 (a1 S)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 V):((rel_s4 V) V)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (x2 (a1 V)) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 65.05/65.24  Found a10:=(a1 S):((rel_s4 S) S)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (x5 (a1 S)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 S):((rel_s4 S) S)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (a1 S) as proof of ((rel_s4 S) V1)
% 65.05/65.24  Found (x5 (a1 S)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 V):((rel_s4 V) V)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (x2 (a1 V)) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 65.05/65.24  Found a10:=(a1 V):((rel_s4 V) V)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (a1 V) as proof of ((rel_s4 V) V0)
% 65.05/65.24  Found (x2 (a1 V)) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 65.05/65.24  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 65.05/65.24  Found a10:=(a1 W):((rel_s4 W) W)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (x5 (a1 W)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 W):((rel_s4 W) W)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (x5 (a1 W)) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 65.05/65.24  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 65.05/65.24  Found a10:=(a1 W):((rel_s4 W) W)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 65.05/65.24  Found (a1 W) as proof of ((rel_s4 W) V1)
% 66.86/67.05  Found (x5 (a1 W)) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V1)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V1)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V1)
% 66.86/67.05  Found (x5 (a1 W)) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (x5 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V1)
% 66.86/67.05  Found (x5 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 66.86/67.05  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (x1 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 66.86/67.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V)
% 66.86/67.05  Found (x1 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 66.86/67.05  Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 W):((rel_s4 W) W)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (x3 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 66.86/67.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 66.86/67.05  Found a10:=(a1 S):((rel_s4 S) S)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (a1 S) as proof of ((rel_s4 S) V0)
% 66.86/67.05  Found (x3 (a1 S)) as proof of False
% 66.86/67.05  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 W):((rel_s4 W) W)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (x3 (a1 S)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 70.87/71.07  Found a10:=(a1 S):((rel_s4 S) S)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found (a1 S) as proof of ((rel_s4 S) V0)
% 70.87/71.07  Found a10:=(a1 W):((rel_s4 W) W)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 70.87/71.07  Found (x3 (a1 W)) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 70.87/71.07  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (x3 (a1 W)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (x3 (a1 W)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (x3 (a1 W)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (x3 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (x3 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V0)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (x3 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (x3 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V00)
% 76.35/76.56  Found (x3 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 76.35/76.56  Found a10:=(a1 V):((rel_s4 V) V)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V0)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V0)
% 76.35/76.56  Found (a1 V) as proof of ((rel_s4 V) V0)
% 76.35/76.56  Found (x2 (a1 V)) as proof of False
% 76.35/76.56  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 76.35/76.56  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found a10:=(a1 W):((rel_s4 W) W)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 76.35/76.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found a10:=(a1 W):((rel_s4 W) W)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.05/80.26  Found a10:=(a1 W):((rel_s4 W) W)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.05/80.26  Found a10:=(a1 W):((rel_s4 W) W)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (x3 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (x3 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V00)
% 80.05/80.26  Found (x3 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 80.05/80.26  Found a10:=(a1 W):((rel_s4 W) W)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found a10:=(a1 W):((rel_s4 W) W)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 80.05/80.26  Found a10:=(a1 V):((rel_s4 V) V)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (a1 V) as proof of ((rel_s4 V) V0)
% 80.05/80.26  Found (x2 (a1 V)) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 80.05/80.26  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 W):((rel_s4 W) W)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (x5 (a1 W)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 W):((rel_s4 W) W)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (x5 (a1 W)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 W):((rel_s4 W) W)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V0)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V0)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V0)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 S):((rel_s4 S) S)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (a1 S) as proof of ((rel_s4 S) V1)
% 81.78/81.98  Found (x5 (a1 S)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 81.78/81.98  Found a10:=(a1 W):((rel_s4 W) W)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (a1 W) as proof of ((rel_s4 W) V1)
% 81.78/81.98  Found (x5 (a1 W)) as proof of False
% 81.78/81.98  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 W):((rel_s4 W) W)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (x5 (a1 W)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 S):((rel_s4 S) S)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (x5 (a1 S)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 S):((rel_s4 S) S)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (x5 (a1 S)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 S):((rel_s4 S) S)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (x5 (a1 S)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 W):((rel_s4 W) W)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found a10:=(a1 S):((rel_s4 S) S)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (x5 (a1 S)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 V):((rel_s4 V) V)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (x2 (a1 V)) as proof of False
% 83.11/83.31  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 83.11/83.31  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 83.11/83.31  Found a10:=(a1 V):((rel_s4 V) V)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (a1 V) as proof of ((rel_s4 V) V0)
% 83.11/83.31  Found (x2 (a1 V)) as proof of False
% 83.11/83.31  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 83.11/83.31  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 83.11/83.31  Found a10:=(a1 W):((rel_s4 W) W)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (x5 (a1 W)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 W):((rel_s4 W) W)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V1)
% 83.11/83.31  Found (x5 (a1 W)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 83.11/83.31  Found a10:=(a1 W):((rel_s4 W) W)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 83.11/83.31  Found a10:=(a1 S):((rel_s4 S) S)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (a1 S) as proof of ((rel_s4 S) V1)
% 83.11/83.31  Found (x5 (a1 S)) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 83.11/83.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (x5 (a1 S)) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 W):((rel_s4 W) W)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (x5 (a1 W)) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (x5 (a1 S)) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V1)
% 85.95/86.20  Found (x5 (a1 S)) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 W):((rel_s4 W) W)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found a10:=(a1 W):((rel_s4 W) W)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V1)
% 85.95/86.20  Found (x5 (a1 W)) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 85.95/86.20  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 S):((rel_s4 S) S)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found (a1 S) as proof of ((rel_s4 S) V0)
% 85.95/86.20  Found a10:=(a1 W):((rel_s4 W) W)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (x3 (a1 W)) as proof of False
% 85.95/86.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 85.95/86.20  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 85.95/86.20  Found a10:=(a1 W):((rel_s4 W) W)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 85.95/86.20  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (x3 (a1 W)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found a10:=(a1 W):((rel_s4 W) W)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found (a1 W) as proof of ((rel_s4 W) V0)
% 92.86/93.09  Found a10:=(a1 S):((rel_s4 S) S)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (x3 (a1 S)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 V):((rel_s4 V) V)
% 92.86/93.09  Found (a1 V) as proof of ((rel_s4 V) V0)
% 92.86/93.09  Found (a1 V) as proof of ((rel_s4 V) V0)
% 92.86/93.09  Found (a1 V) as proof of ((rel_s4 V) V0)
% 92.86/93.09  Found (x2 (a1 V)) as proof of False
% 92.86/93.09  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 92.86/93.09  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 92.86/93.09  Found a10:=(a1 S):((rel_s4 S) S)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (a1 S) as proof of ((rel_s4 S) V0)
% 92.86/93.09  Found (x3 (a1 S)) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 92.86/93.09  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (x2 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V0)
% 94.18/94.38  Found (x2 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 S):((rel_s4 S) S)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (x3 (a1 S)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 94.18/94.38  Found a10:=(a1 S):((rel_s4 S) S)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 94.18/94.38  Found (x3 (a1 S)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 W):((rel_s4 W) W)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (x3 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (x3 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (x3 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (x3 (a1 V)) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 94.18/94.38  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 94.18/94.38  Found a10:=(a1 V):((rel_s4 V) V)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 94.18/94.38  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (x2 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 W):((rel_s4 W) W)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found a10:=(a1 W):((rel_s4 W) W)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found (a1 W) as proof of ((rel_s4 W) V0)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V0)
% 95.66/95.88  Found (x2 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 S):((rel_s4 S) S)
% 95.66/95.88  Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.66/95.88  Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.66/95.88  Found (a1 S) as proof of ((rel_s4 S) V0)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (a1 V) as proof of ((rel_s4 V) V00)
% 95.66/95.88  Found (x3 (a1 V)) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 95.66/95.88  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 95.66/95.88  Found a10:=(a1 V):((rel_s4 V) V)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (x3 (a1 V)) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.71/97.93  Found a10:=(a1 V):((rel_s4 V) V)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (x3 (a1 V)) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.71/97.93  Found a10:=(a1 V):((rel_s4 V) V)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (x3 (a1 V)) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.71/97.93  Found a10:=(a1 V):((rel_s4 V) V)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (x3 (a1 V)) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 S):((rel_s4 S) S)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found a10:=(a1 S):((rel_s4 S) S)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V1)
% 97.71/97.93  Found a10:=(a1 S):((rel_s4 S) S)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V0)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V0)
% 97.71/97.93  Found (a1 S) as proof of ((rel_s4 S) V0)
% 97.71/97.93  Found a10:=(a1 V):((rel_s4 V) V)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (a1 V) as proof of ((rel_s4 V) V00)
% 97.71/97.93  Found (x3 (a1 V)) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 97.71/97.93  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 97.71/97.93  Found a10:=(a1 W):((rel_s4 W) W)
% 97.71/97.93  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 V):((rel_s4 V) V)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (x2 (a1 V)) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 99.85/100.07  Found a10:=(a1 V):((rel_s4 V) V)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (x2 (a1 V)) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 99.85/100.07  Found a10:=(a1 V):((rel_s4 V) V)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (x2 (a1 V)) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 99.85/100.07  Found a10:=(a1 V):((rel_s4 V) V)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V0)
% 99.85/100.07  Found (x2 (a1 V)) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 99.85/100.07  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 V):((rel_s4 V) V)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 99.85/100.07  Found (a1 V) as proof of ((rel_s4 V) V00)
% 99.85/100.07  Found (x3 (a1 V)) as proof of False
% 99.85/100.07  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 99.85/100.07  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found a10:=(a1 S):((rel_s4 S) S)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found (a1 S) as proof of ((rel_s4 S) V1)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V0)
% 99.85/100.07  Found a10:=(a1 W):((rel_s4 W) W)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.85/100.07  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V0)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (x5 (a1 W)) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 102.39/102.61  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 102.39/102.61  Found a10:=(a1 W):((rel_s4 W) W)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 102.39/102.61  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (x5 (a1 S)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (x5 (a1 S)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 W):((rel_s4 W) W)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 W):((rel_s4 W) W)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 W):((rel_s4 W) W)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 W):((rel_s4 W) W)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 W):((rel_s4 W) W)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (a1 W) as proof of ((rel_s4 W) V1)
% 103.75/103.96  Found (x5 (a1 W)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (x5 (a1 S)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (x5 (a1 S)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 103.75/103.96  Found a10:=(a1 S):((rel_s4 S) S)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 103.75/103.96  Found (x5 (a1 S)) as proof of False
% 103.75/103.96  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 107.09/107.30  Found a10:=(a1 S):((rel_s4 S) S)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (x5 (a1 S)) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V1)
% 107.09/107.30  Found (x5 (a1 W)) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 107.09/107.30  Found a10:=(a1 S):((rel_s4 S) S)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (x5 (a1 S)) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 107.09/107.30  Found a10:=(a1 S):((rel_s4 S) S)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V1)
% 107.09/107.30  Found (x5 (a1 S)) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 107.09/107.30  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 107.09/107.30  Found a10:=(a1 S):((rel_s4 S) S)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (x3 (a1 W)) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.09/107.30  Found a10:=(a1 S):((rel_s4 S) S)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (x3 (a1 W)) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (x3 (a1 W)) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 107.09/107.30  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 107.09/107.30  Found a10:=(a1 W):((rel_s4 W) W)
% 107.09/107.30  Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 107.09/107.30  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 107.09/107.30  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (x3 (a1 W)) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 110.20/110.45  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 W):((rel_s4 W) W)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 110.20/110.45  Found a10:=(a1 S):((rel_s4 S) S)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found a10:=(a1 S):((rel_s4 S) S)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (x3 (a1 S)) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.20/110.45  Found a10:=(a1 S):((rel_s4 S) S)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (x3 (a1 S)) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 110.20/110.45  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 110.20/110.45  Found a10:=(a1 S):((rel_s4 S) S)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 110.20/110.45  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (x3 (a1 S)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 V):((rel_s4 V) V)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V0)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V0)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V0)
% 118.04/118.34  Found (x2 (a1 V)) as proof of False
% 118.04/118.34  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 118.04/118.34  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 S):((rel_s4 S) S)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 W):((rel_s4 W) W)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.04/118.34  Found a10:=(a1 V):((rel_s4 V) V)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.04/118.34  Found (a1 V) as proof of ((rel_s4 V) V00)
% 118.04/118.34  Found (x3 (a1 V)) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 118.04/118.34  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 S):((rel_s4 S) S)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found a10:=(a1 S):((rel_s4 S) S)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (x2 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V0)
% 119.56/119.87  Found (x2 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 119.56/119.87  Found a10:=(a1 S):((rel_s4 S) S)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found a10:=(a1 S):((rel_s4 S) S)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found (a1 S) as proof of ((rel_s4 S) V0)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 V):((rel_s4 V) V)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (a1 V) as proof of ((rel_s4 V) V00)
% 119.56/119.87  Found (x3 (a1 V)) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 119.56/119.87  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 119.56/119.87  Found a10:=(a1 W):((rel_s4 W) W)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found a10:=(a1 W):((rel_s4 W) W)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found a10:=(a1 W):((rel_s4 W) W)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 119.56/119.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 121.73/121.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 121.73/121.99  Found a10:=(a1 W):((rel_s4 W) W)
% 121.73/121.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 121.73/121.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 121.73/121.99  Found (a1 W) as proof of ((rel_s4 W) V0)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 S):((rel_s4 S) S)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found a10:=(a1 S):((rel_s4 S) S)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found a10:=(a1 S):((rel_s4 S) S)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found a10:=(a1 S):((rel_s4 S) S)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found (a1 S) as proof of ((rel_s4 S) V0)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 121.73/121.99  Found a10:=(a1 V):((rel_s4 V) V)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (a1 V) as proof of ((rel_s4 V) V00)
% 121.73/121.99  Found (x3 (a1 V)) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 121.73/121.99  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 V):((rel_s4 V) V)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (x3 (a1 V)) as proof of False
% 126.70/126.92  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 126.70/126.92  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 126.70/126.92  Found a10:=(a1 V):((rel_s4 V) V)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (a1 V) as proof of ((rel_s4 V) V00)
% 126.70/126.92  Found (x3 (a1 V)) as proof of False
% 126.70/126.92  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 126.70/126.92  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 S):((rel_s4 S) S)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found a10:=(a1 W):((rel_s4 W) W)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 126.70/126.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.14/128.39  Found a10:=(a1 S):((rel_s4 S) S)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (x5 (a1 W)) as proof of False
% 128.14/128.39  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.14/128.39  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.14/128.39  Found (x5 (a1 W)) as proof of False
% 128.14/128.39  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.14/128.39  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.14/128.39  Found a10:=(a1 W):((rel_s4 W) W)
% 128.14/128.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (x5 (a1 W)) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (x5 (a1 W)) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (x5 (a1 W)) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (x5 (a1 S)) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 128.95/129.19  Found a10:=(a1 W):((rel_s4 W) W)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (a1 W) as proof of ((rel_s4 W) V1)
% 128.95/129.19  Found (x5 (a1 W)) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 128.95/129.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found a10:=(a1 V):((rel_s4 V) V)
% 128.95/129.19  Found (a1 V) as proof of ((rel_s4 V) V0)
% 128.95/129.19  Found (a1 V) as proof of ((rel_s4 V) V0)
% 128.95/129.19  Found (a1 V) as proof of ((rel_s4 V) V0)
% 128.95/129.19  Found (x2 (a1 V)) as proof of False
% 128.95/129.19  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 128.95/129.19  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 128.95/129.19  Found a10:=(a1 S):((rel_s4 S) S)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 128.95/129.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 129.91/130.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 129.91/130.15  Found (x5 (a1 S)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 129.91/130.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 129.91/130.15  Found a10:=(a1 W):((rel_s4 W) W)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 129.91/130.15  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 S):((rel_s4 S) S)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (x5 (a1 S)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 S):((rel_s4 S) S)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (x5 (a1 S)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 S):((rel_s4 S) S)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (x5 (a1 S)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 S):((rel_s4 S) S)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (a1 S) as proof of ((rel_s4 S) V1)
% 131.22/131.48  Found (x5 (a1 S)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 131.22/131.48  Found a10:=(a1 W):((rel_s4 W) W)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (a1 W) as proof of ((rel_s4 W) V1)
% 131.22/131.48  Found (x5 (a1 W)) as proof of False
% 131.22/131.48  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 V):((rel_s4 V) V)
% 132.32/132.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.32/132.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.32/132.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 132.32/132.55  Found (x4 (a1 V)) as proof of False
% 132.32/132.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 132.32/132.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 132.32/132.55  Found a10:=(a1 S):((rel_s4 S) S)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (x5 (a1 S)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 W):((rel_s4 W) W)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 132.32/132.55  Found (x5 (a1 W)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 S):((rel_s4 S) S)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (x5 (a1 S)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 132.32/132.55  Found a10:=(a1 S):((rel_s4 S) S)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 132.32/132.55  Found (x5 (a1 S)) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 132.32/132.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 W):((rel_s4 W) W)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (x5 (a1 W)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 W):((rel_s4 W) W)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 133.93/134.15  Found (x5 (a1 W)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 S):((rel_s4 S) S)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (x5 (a1 S)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 V):((rel_s4 V) V)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (x4 (a1 V)) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 133.93/134.15  Found a10:=(a1 V):((rel_s4 V) V)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (x4 (a1 V)) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 133.93/134.15  Found a10:=(a1 W):((rel_s4 W) W)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found a10:=(a1 W):((rel_s4 W) W)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 133.93/134.15  Found a10:=(a1 S):((rel_s4 S) S)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (x5 (a1 S)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 S):((rel_s4 S) S)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (x5 (a1 S)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 S):((rel_s4 S) S)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (x5 (a1 S)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 S):((rel_s4 S) S)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 133.93/134.15  Found (x5 (a1 S)) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 133.93/134.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 133.93/134.15  Found a10:=(a1 V):((rel_s4 V) V)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (a1 V) as proof of ((rel_s4 V) V01)
% 133.93/134.15  Found (x4 (a1 V)) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 133.93/134.15  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 S):((rel_s4 S) S)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (x5 (a1 S)) as proof of False
% 137.16/137.44  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 137.16/137.44  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 137.16/137.44  Found a10:=(a1 S):((rel_s4 S) S)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V1)
% 137.16/137.44  Found (x5 (a1 S)) as proof of False
% 137.16/137.44  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 137.16/137.44  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 S):((rel_s4 S) S)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found a10:=(a1 S):((rel_s4 S) S)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found (a1 S) as proof of ((rel_s4 S) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 137.16/137.44  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 137.16/137.44  Found a10:=(a1 W):((rel_s4 W) W)
% 137.16/137.44  Found (a1 W) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 137.16/137.44  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 137.16/137.44  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 138.32/138.58  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (x3 (a1 S)) as proof of False
% 138.32/138.58  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 138.32/138.58  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (x3 (a1 S)) as proof of False
% 138.32/138.58  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 138.32/138.58  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 138.32/138.58  Found a10:=(a1 S):((rel_s4 S) S)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.32/138.58  Found a10:=(a1 W):((rel_s4 W) W)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 138.32/138.58  Found a10:=(a1 W):((rel_s4 W) W)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 138.32/138.58  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found a10:=(a1 W):((rel_s4 W) W)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 138.32/138.58  Found a10:=(a1 W):((rel_s4 W) W)
% 138.32/138.58  Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.32/138.58  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 139.54/139.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 139.54/139.78  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 139.54/139.78  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 139.54/139.78  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 139.54/139.78  Found a10:=(a1 S):((rel_s4 S) S)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 139.54/139.78  Found a10:=(a1 S):((rel_s4 S) S)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 139.54/139.78  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found a10:=(a1 S):((rel_s4 S) S)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (x3 (a1 S)) as proof of False
% 139.54/139.78  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 139.54/139.78  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.54/139.78  Found a10:=(a1 S):((rel_s4 S) S)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 139.54/139.78  Found (x3 (a1 S)) as proof of False
% 139.54/139.78  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 139.54/139.78  Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 139.54/139.78  Found False_rect00:=(False_rect0 (q V)):(q V)
% 139.54/139.78  Found (False_rect0 (q V)) as proof of (q V)
% 139.54/139.78  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 139.54/139.78  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 139.54/139.78  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 139.54/139.78  Found False_rect00:=(False_rect0 (q V)):(q V)
% 139.54/139.78  Found (False_rect0 (q V)) as proof of (q V)
% 139.54/139.78  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 139.54/139.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 139.54/139.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 139.54/139.78  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 139.54/139.78  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 139.54/139.78  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 139.54/139.78  Found a10:=(a1 S):((rel_s4 S) S)
% 139.54/139.78  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found a10:=(a1 S):((rel_s4 S) S)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found a10:=(a1 S):((rel_s4 S) S)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found False_rect00:=(False_rect0 (q V)):(q V)
% 149.12/149.40  Found (False_rect0 (q V)) as proof of (q V)
% 149.12/149.40  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 149.12/149.40  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 149.12/149.40  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 149.12/149.40  Found False_rect00:=(False_rect0 (q V)):(q V)
% 149.12/149.40  Found (False_rect0 (q V)) as proof of (q V)
% 149.12/149.40  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 149.12/149.40  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 149.12/149.40  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 149.12/149.40  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.12/149.40  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.12/149.40  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 149.12/149.40  Found a10:=(a1 S):((rel_s4 S) S)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found a10:=(a1 S):((rel_s4 S) S)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found a10:=(a1 T):((rel_s4 T) T)
% 149.12/149.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 149.12/149.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 149.12/149.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 149.12/149.40  Found a10:=(a1 W):((rel_s4 W) W)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found a10:=(a1 W):((rel_s4 W) W)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 149.12/149.40  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 149.12/149.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 149.12/149.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 149.12/149.40  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 149.12/149.40  Found ((a200 V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 149.12/149.40  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 149.12/149.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 149.12/149.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 149.12/149.40  Found a10:=(a1 S):((rel_s4 S) S)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found (a1 S) as proof of ((rel_s4 S) V0)
% 149.12/149.40  Found a10:=(a1 W):((rel_s4 W) W)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 149.12/149.40  Found a10:=(a1 T):((rel_s4 T) T)
% 149.12/149.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 149.12/149.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 152.05/152.31  Found (a1 T) as proof of ((rel_s4 T) V0)
% 152.05/152.31  Found a10:=(a1 T):((rel_s4 T) T)
% 152.05/152.31  Found (a1 T) as proof of ((rel_s4 T) V0)
% 152.05/152.31  Found (a1 T) as proof of ((rel_s4 T) V0)
% 152.05/152.31  Found (a1 T) as proof of ((rel_s4 T) V0)
% 152.05/152.31  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 152.05/152.31  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 152.05/152.31  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 152.05/152.31  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 152.05/152.31  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found a10:=(a1 V):((rel_s4 V) V)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (x3 (a1 V)) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.05/152.31  Found a10:=(a1 V):((rel_s4 V) V)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (x3 (a1 V)) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 V):((rel_s4 V) V)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (x3 (a1 V)) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.05/152.31  Found a10:=(a1 V):((rel_s4 V) V)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 152.05/152.31  Found (x3 (a1 V)) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 152.05/152.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 152.05/152.31  Found a10:=(a1 W):((rel_s4 W) W)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found a10:=(a1 W):((rel_s4 W) W)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found (a1 W) as proof of ((rel_s4 W) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found a10:=(a1 S):((rel_s4 S) S)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 152.05/152.31  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found a10:=(a1 S):((rel_s4 S) S)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found a10:=(a1 S):((rel_s4 S) S)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found (a1 S) as proof of ((rel_s4 S) V0)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (x3 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (x3 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (x3 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (x2 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V0)
% 154.15/154.42  Found (x2 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (x3 (a1 V)) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 154.15/154.42  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V1)
% 154.15/154.42  Found a10:=(a1 W):((rel_s4 W) W)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found (a1 W) as proof of ((rel_s4 W) V0)
% 154.15/154.42  Found a10:=(a1 V):((rel_s4 V) V)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 154.15/154.42  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (x3 (a1 V)) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 159.92/160.23  Found a10:=(a1 V):((rel_s4 V) V)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (x3 (a1 V)) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 159.92/160.23  Found a10:=(a1 V):((rel_s4 V) V)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (x3 (a1 V)) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 V):((rel_s4 V) V)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (a1 V) as proof of ((rel_s4 V) V00)
% 159.92/160.23  Found (x3 (a1 V)) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 159.92/160.23  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V1)
% 159.92/160.23  Found a10:=(a1 S):((rel_s4 S) S)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found a10:=(a1 S):((rel_s4 S) S)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found a10:=(a1 S):((rel_s4 S) S)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found a10:=(a1 S):((rel_s4 S) S)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found (a1 S) as proof of ((rel_s4 S) V1)
% 159.92/160.23  Found a10:=(a1 W):((rel_s4 W) W)
% 159.92/160.23  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V0)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V1)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found (a1 W) as proof of ((rel_s4 W) V0)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found a10:=(a1 S):((rel_s4 S) S)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (a1 S) as proof of ((rel_s4 S) V1)
% 161.67/161.91  Found (x5 (a1 S)) as proof of False
% 161.67/161.91  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 161.67/161.91  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 161.67/161.91  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (x5 (a1 S)) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V0)
% 162.24/162.49  Found a10:=(a1 V):((rel_s4 V) V)
% 162.24/162.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 162.24/162.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 162.24/162.49  Found (a1 V) as proof of ((rel_s4 V) V0)
% 162.24/162.49  Found (x2 (a1 V)) as proof of False
% 162.24/162.49  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 162.24/162.49  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (x5 (a1 S)) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 162.24/162.49  Found a10:=(a1 W):((rel_s4 W) W)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.24/162.49  Found (x5 (a1 W)) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.24/162.49  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.24/162.49  Found a10:=(a1 S):((rel_s4 S) S)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (a1 S) as proof of ((rel_s4 S) V1)
% 162.24/162.49  Found (x5 (a1 S)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (x5 (a1 W)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (x5 (a1 W)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (x5 (a1 W)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (x5 (a1 S)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 163.53/163.79  Found a10:=(a1 W):((rel_s4 W) W)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.53/163.79  Found (x5 (a1 S)) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 163.53/163.79  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.53/163.79  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 V):((rel_s4 V) V)
% 164.50/164.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.50/164.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.50/164.78  Found (a1 V) as proof of ((rel_s4 V) V01)
% 164.50/164.78  Found (x4 (a1 V)) as proof of False
% 164.50/164.78  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 164.50/164.78  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (x5 (a1 W)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (x5 (a1 W)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 S):((rel_s4 S) S)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (a1 S) as proof of ((rel_s4 S) V1)
% 164.50/164.78  Found (x5 (a1 S)) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 164.50/164.78  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 164.50/164.78  Found a10:=(a1 W):((rel_s4 W) W)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (a1 W) as proof of ((rel_s4 W) V1)
% 164.50/164.78  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V0)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V0)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V0)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 S):((rel_s4 S) S)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (x5 (a1 S)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 S):((rel_s4 S) S)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 165.87/166.14  Found (x5 (a1 S)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 V):((rel_s4 V) V)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (x4 (a1 V)) as proof of False
% 165.87/166.14  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 165.87/166.14  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 165.87/166.14  Found a10:=(a1 V):((rel_s4 V) V)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (a1 V) as proof of ((rel_s4 V) V01)
% 165.87/166.14  Found (x4 (a1 V)) as proof of False
% 165.87/166.14  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 165.87/166.14  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 165.87/166.14  Found a10:=(a1 W):((rel_s4 W) W)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (a1 W) as proof of ((rel_s4 W) V1)
% 165.87/166.14  Found (x5 (a1 W)) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 165.87/166.14  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 165.87/166.14  Found a10:=(a1 S):((rel_s4 S) S)
% 165.87/166.14  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 W):((rel_s4 W) W)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (x5 (a1 W)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (x5 (a1 S)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 W):((rel_s4 W) W)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (x5 (a1 W)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 W):((rel_s4 W) W)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found a10:=(a1 W):((rel_s4 W) W)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V0)
% 167.13/167.41  Found a10:=(a1 W):((rel_s4 W) W)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 167.13/167.41  Found (x5 (a1 W)) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 167.13/167.41  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 167.13/167.41  Found a10:=(a1 V):((rel_s4 V) V)
% 167.13/167.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.13/167.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.13/167.41  Found (a1 V) as proof of ((rel_s4 V) V01)
% 167.13/167.41  Found (x4 (a1 V)) as proof of False
% 167.13/167.41  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 167.13/167.41  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 167.13/167.41  Found a10:=(a1 S):((rel_s4 S) S)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 167.13/167.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 V):((rel_s4 V) V)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (x4 (a1 V)) as proof of False
% 168.46/168.71  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 168.46/168.71  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 168.46/168.71  Found a10:=(a1 V):((rel_s4 V) V)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (a1 V) as proof of ((rel_s4 V) V01)
% 168.46/168.71  Found (x4 (a1 V)) as proof of False
% 168.46/168.71  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 168.46/168.71  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 S):((rel_s4 S) S)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (a1 S) as proof of ((rel_s4 S) V1)
% 168.46/168.71  Found (x5 (a1 S)) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 168.46/168.71  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 168.46/168.71  Found a10:=(a1 W):((rel_s4 W) W)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found a10:=(a1 W):((rel_s4 W) W)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found a10:=(a1 W):((rel_s4 W) W)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V1)
% 168.46/168.71  Found a10:=(a1 W):((rel_s4 W) W)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 168.46/168.71  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (x5 (a1 S)) as proof of False
% 169.21/169.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 169.21/169.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 169.21/169.46  Found a10:=(a1 W):((rel_s4 W) W)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 169.21/169.46  Found (x5 (a1 S)) as proof of False
% 169.21/169.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 169.21/169.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found a10:=(a1 V):((rel_s4 V) V)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (x4 (a1 V)) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 169.21/169.46  Found a10:=(a1 V):((rel_s4 V) V)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (x4 (a1 V)) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 169.21/169.46  Found a10:=(a1 S):((rel_s4 S) S)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 169.21/169.46  Found a10:=(a1 V):((rel_s4 V) V)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (x4 (a1 V)) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 169.21/169.46  Found a10:=(a1 V):((rel_s4 V) V)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 169.21/169.46  Found (x4 (a1 V)) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 169.21/169.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (x5 (a1 S)) as proof of False
% 171.14/171.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 171.14/171.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V1)
% 171.14/171.39  Found (x5 (a1 S)) as proof of False
% 171.14/171.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 171.14/171.39  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found a10:=(a1 V):((rel_s4 V) V)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (x4 (a1 V)) as proof of False
% 171.14/171.39  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 171.14/171.39  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 171.14/171.39  Found a10:=(a1 S):((rel_s4 S) S)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found (a1 S) as proof of ((rel_s4 S) V0)
% 171.14/171.39  Found a10:=(a1 V):((rel_s4 V) V)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (a1 V) as proof of ((rel_s4 V) V01)
% 171.14/171.39  Found (x4 (a1 V)) as proof of False
% 171.14/171.39  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 171.14/171.39  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 171.14/171.39  Found a10:=(a1 W):((rel_s4 W) W)
% 171.14/171.39  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found a10:=(a1 S):((rel_s4 S) S)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 173.22/173.47  Found a10:=(a1 S):((rel_s4 S) S)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 173.22/173.47  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found a10:=(a1 S):((rel_s4 S) S)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 173.22/173.47  Found a10:=(a1 S):((rel_s4 S) S)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 173.22/173.47  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found a10:=(a1 S):((rel_s4 S) S)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 173.22/173.47  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found a10:=(a1 W):((rel_s4 W) W)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 173.22/173.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found a10:=(a1 S):((rel_s4 S) S)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 175.27/175.53  Found a10:=(a1 S):((rel_s4 S) S)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 175.27/175.53  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found a10:=(a1 S):((rel_s4 S) S)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 175.27/175.53  Found a10:=(a1 S):((rel_s4 S) S)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 175.27/175.53  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found a10:=(a1 S):((rel_s4 S) S)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found (a1 S) as proof of ((rel_s4 S) V0)
% 175.27/175.53  Found a10:=(a1 W):((rel_s4 W) W)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 175.27/175.53  Found a10:=(a1 W):((rel_s4 W) W)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 175.27/175.53  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found a10:=(a1 W):((rel_s4 W) W)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 175.27/175.53  Found False_rect00:=(False_rect0 (q V)):(q V)
% 175.27/175.53  Found (False_rect0 (q V)) as proof of (q V)
% 175.27/175.53  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 175.27/175.53  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 175.27/175.53  Found False_rect00:=(False_rect0 (q V)):(q V)
% 175.27/175.53  Found (False_rect0 (q V)) as proof of (q V)
% 175.27/175.53  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 178.86/179.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 178.86/179.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 178.86/179.15  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 178.86/179.15  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 178.86/179.15  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 178.86/179.15  Found a10:=(a1 W):((rel_s4 W) W)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found a10:=(a1 T):((rel_s4 T) T)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found a10:=(a1 T):((rel_s4 T) T)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found a10:=(a1 T):((rel_s4 T) T)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found (a1 T) as proof of ((rel_s4 T) V0)
% 178.86/179.15  Found a10:=(a1 W):((rel_s4 W) W)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found a10:=(a1 W):((rel_s4 W) W)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found (a1 W) as proof of ((rel_s4 W) T)
% 178.86/179.15  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 178.86/179.15  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found ((a200 V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found (((fun (T:fofType)=> (((a2 W) T) V0)) V0) ((((conj ((rel_s4 W) V0)) ((rel_s4 V0) V0)) (a1 W)) (a1 V0))) as proof of ((rel_s4 W) V0)
% 178.86/179.15  Found False_rect00:=(False_rect0 (q V)):(q V)
% 178.86/179.15  Found (False_rect0 (q V)) as proof of (q V)
% 178.86/179.15  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 180.21/180.45  Found False_rect00:=(False_rect0 (q V)):(q V)
% 180.21/180.45  Found (False_rect0 (q V)) as proof of (q V)
% 180.21/180.45  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 180.21/180.45  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found False_rect00:=(False_rect0 (q V)):(q V)
% 180.21/180.45  Found (False_rect0 (q V)) as proof of (q V)
% 180.21/180.45  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 180.21/180.45  Found False_rect00:=(False_rect0 (q V)):(q V)
% 180.21/180.45  Found (False_rect0 (q V)) as proof of (q V)
% 180.21/180.45  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 180.21/180.45  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found False_rect00:=(False_rect0 (q V)):(q V)
% 180.21/180.45  Found (False_rect0 (q V)) as proof of (q V)
% 180.21/180.45  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 180.21/180.45  Found False_rect00:=(False_rect0 (q V)):(q V)
% 180.21/180.45  Found (False_rect0 (q V)) as proof of (q V)
% 180.21/180.45  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 180.21/180.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 180.21/180.45  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 180.21/180.45  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 182.10/182.40  Found a10:=(a1 W):((rel_s4 W) W)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found a10:=(a1 T):((rel_s4 T) T)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found a10:=(a1 T):((rel_s4 T) T)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found a10:=(a1 W):((rel_s4 W) W)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found (a1 W) as proof of ((rel_s4 W) T)
% 182.10/182.40  Found a10:=(a1 T):((rel_s4 T) T)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found a10:=(a1 T):((rel_s4 T) T)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 182.10/182.40  Found a10:=(a1 T):((rel_s4 T) T)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found (a1 T) as proof of ((rel_s4 T) V0)
% 182.10/182.40  Found a10:=(a1 S):((rel_s4 S) S)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found a10:=(a1 S):((rel_s4 S) S)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found (a1 S) as proof of ((rel_s4 S) T)
% 182.10/182.40  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 182.10/182.40  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 184.51/184.76  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 184.51/184.76  Found ((a200 V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 184.51/184.76  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 184.51/184.76  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 184.51/184.76  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 184.51/184.76  Found a10:=(a1 V):((rel_s4 V) V)
% 184.51/184.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 184.51/184.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 184.51/184.76  Found (a1 V) as proof of ((rel_s4 V) V0)
% 184.51/184.76  Found (x2 (a1 V)) as proof of False
% 184.51/184.76  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 184.51/184.76  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 184.51/184.76  Found False_rect00:=(False_rect0 (q V)):(q V)
% 184.51/184.76  Found (False_rect0 (q V)) as proof of (q V)
% 184.51/184.76  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 184.51/184.76  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 184.51/184.76  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 184.51/184.76  Found False_rect00:=(False_rect0 (q V)):(q V)
% 184.51/184.76  Found (False_rect0 (q V)) as proof of (q V)
% 184.51/184.76  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 184.51/184.76  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 184.51/184.76  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 184.51/184.76  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found False_rect00:=(False_rect0 (q V)):(q V)
% 184.51/184.76  Found (False_rect0 (q V)) as proof of (q V)
% 184.51/184.76  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 184.51/184.76  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 184.51/184.76  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 184.51/184.76  Found False_rect00:=(False_rect0 (q V)):(q V)
% 184.51/184.76  Found (False_rect0 (q V)) as proof of (q V)
% 184.51/184.76  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 184.51/184.76  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 184.51/184.76  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 184.51/184.76  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 184.51/184.76  Found a10:=(a1 W):((rel_s4 W) W)
% 184.51/184.76  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 T):((rel_s4 T) T)
% 188.13/188.39  Found (a1 T) as proof of ((rel_s4 T) V0)
% 188.13/188.39  Found (a1 T) as proof of ((rel_s4 T) V0)
% 188.13/188.39  Found (a1 T) as proof of ((rel_s4 T) V0)
% 188.13/188.39  Found a10:=(a1 S):((rel_s4 S) S)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found a10:=(a1 S):((rel_s4 S) S)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found (a1 S) as proof of ((rel_s4 S) T)
% 188.13/188.39  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 188.13/188.39  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 188.13/188.39  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 188.13/188.39  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 188.13/188.39  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 188.13/188.39  Found ((a200 V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 188.13/188.39  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 188.13/188.39  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 188.13/188.39  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 V):((rel_s4 V) V)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (x3 (a1 V)) as proof of False
% 188.13/188.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 188.13/188.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 W):((rel_s4 W) W)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found (a1 W) as proof of ((rel_s4 W) V0)
% 188.13/188.39  Found a10:=(a1 V):((rel_s4 V) V)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 188.13/188.39  Found (x3 (a1 V)) as proof of False
% 188.13/188.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 188.13/188.39  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 188.13/188.39  Found a10:=(a1 V):((rel_s4 V) V)
% 188.13/188.39  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 W):((rel_s4 W) W)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found a10:=(a1 W):((rel_s4 W) W)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found a10:=(a1 W):((rel_s4 W) W)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found a10:=(a1 W):((rel_s4 W) W)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found (a1 W) as proof of ((rel_s4 W) V0)
% 191.08/191.33  Found a10:=(a1 S):((rel_s4 S) S)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 S):((rel_s4 S) S)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found a10:=(a1 S):((rel_s4 S) S)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found (a1 S) as proof of ((rel_s4 S) V0)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 191.08/191.33  Found (x3 (a1 V)) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 191.08/191.33  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 191.08/191.33  Found a10:=(a1 V):((rel_s4 V) V)
% 191.08/191.33  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (x3 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (x3 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (x3 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (x3 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 193.30/193.54  Found a10:=(a1 S):((rel_s4 S) S)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (x2 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 193.30/193.54  Found a10:=(a1 S):((rel_s4 S) S)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found a10:=(a1 S):((rel_s4 S) S)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V1)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V0)
% 193.30/193.54  Found (x2 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 193.30/193.54  Found a10:=(a1 W):((rel_s4 W) W)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found a10:=(a1 W):((rel_s4 W) W)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found a10:=(a1 W):((rel_s4 W) W)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found a10:=(a1 W):((rel_s4 W) W)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found (a1 W) as proof of ((rel_s4 W) V1)
% 193.30/193.54  Found a10:=(a1 S):((rel_s4 S) S)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found a10:=(a1 S):((rel_s4 S) S)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found (a1 S) as proof of ((rel_s4 S) V0)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (x3 (a1 V)) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 193.30/193.54  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 193.30/193.54  Found a10:=(a1 V):((rel_s4 V) V)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 193.30/193.54  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (x3 (a1 V)) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 S):((rel_s4 S) S)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found a10:=(a1 S):((rel_s4 S) S)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found a10:=(a1 S):((rel_s4 S) S)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found a10:=(a1 S):((rel_s4 S) S)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 S):((rel_s4 S) S)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 195.54/195.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 195.54/195.80  Found a10:=(a1 V):((rel_s4 V) V)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (x3 (a1 V)) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 195.54/195.80  Found a10:=(a1 V):((rel_s4 V) V)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (a1 V) as proof of ((rel_s4 V) V00)
% 195.54/195.80  Found (x3 (a1 V)) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 195.54/195.80  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 195.54/195.80  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 S):((rel_s4 S) S)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found a10:=(a1 S):((rel_s4 S) S)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found a10:=(a1 S):((rel_s4 S) S)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V0)
% 199.49/199.74  Found a10:=(a1 S):((rel_s4 S) S)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found a10:=(a1 S):((rel_s4 S) S)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V0)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.49/199.74  Found a10:=(a1 W):((rel_s4 W) W)
% 199.49/199.74  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (x5 (a1 W)) as proof of False
% 200.71/201.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 200.71/201.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V0)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 S):((rel_s4 S) S)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found (a1 S) as proof of ((rel_s4 S) V1)
% 200.71/201.01  Found a10:=(a1 W):((rel_s4 W) W)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (a1 W) as proof of ((rel_s4 W) V1)
% 200.71/201.01  Found (x5 (a1 W)) as proof of False
% 200.71/201.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 200.71/201.01  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (x7 (a1 W)) as proof of False
% 202.49/202.79  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 202.49/202.79  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 202.49/202.79  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (x5 (a1 W)) as proof of False
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V1)
% 202.49/202.79  Found (x5 (a1 W)) as proof of False
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 202.49/202.79  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V2)
% 202.49/202.79  Found (x7 (a1 W)) as proof of False
% 202.49/202.79  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 202.49/202.79  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V1)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found a10:=(a1 W):((rel_s4 W) W)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found (a1 W) as proof of ((rel_s4 W) V0)
% 202.49/202.79  Found a10:=(a1 S):((rel_s4 S) S)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 202.49/202.79  Found (a1 S) as proof of ((rel_s4 S) V0)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V0)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (x5 (a1 W)) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V1)
% 203.31/203.56  Found (x5 (a1 W)) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 203.31/203.56  Found a10:=(a1 S):((rel_s4 S) S)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (a1 S) as proof of ((rel_s4 S) V1)
% 203.31/203.56  Found (x5 (a1 S)) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 203.31/203.56  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (x7 (a1 W)) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (x7 (a1 W)) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 203.31/203.56  Found a10:=(a1 W):((rel_s4 W) W)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (a1 W) as proof of ((rel_s4 W) V2)
% 203.31/203.56  Found (x7 (a1 W)) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 203.31/203.56  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 204.59/204.85  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 204.59/204.85  Found a10:=(a1 S):((rel_s4 S) S)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found (x5 (a1 S)) as proof of False
% 204.59/204.85  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 204.59/204.85  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (x5 (a1 W)) as proof of False
% 204.59/204.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 204.59/204.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (x7 (a1 W)) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (x7 (a1 W)) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 204.59/204.85  Found (x7 (a1 W)) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 204.59/204.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 204.59/204.85  Found a10:=(a1 S):((rel_s4 S) S)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 204.59/204.85  Found a10:=(a1 S):((rel_s4 S) S)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found a10:=(a1 W):((rel_s4 W) W)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found (a1 W) as proof of ((rel_s4 W) V1)
% 204.59/204.85  Found a10:=(a1 S):((rel_s4 S) S)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V0)
% 204.59/204.85  Found a10:=(a1 S):((rel_s4 S) S)
% 204.59/204.85  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (x5 (a1 S)) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V0)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (x5 (a1 S)) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V1)
% 205.58/205.87  Found (x5 (a1 W)) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (x7 (a1 W)) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (x7 (a1 W)) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (x7 (a1 W)) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (x5 (a1 S)) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 205.58/205.87  Found a10:=(a1 S):((rel_s4 S) S)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (a1 S) as proof of ((rel_s4 S) V1)
% 205.58/205.87  Found (x5 (a1 S)) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 205.58/205.87  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 205.58/205.87  Found a10:=(a1 W):((rel_s4 W) W)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (a1 W) as proof of ((rel_s4 W) V2)
% 205.58/205.87  Found (x7 (a1 W)) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 205.58/205.87  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (x7 (a1 W)) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (x7 (a1 W)) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V1)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V0)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V0)
% 207.20/207.47  Found a10:=(a1 V):((rel_s4 V) V)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (x4 (a1 V)) as proof of False
% 207.20/207.47  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 207.20/207.47  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (x5 (a1 S)) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 207.20/207.47  Found a10:=(a1 V):((rel_s4 V) V)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (a1 V) as proof of ((rel_s4 V) V01)
% 207.20/207.47  Found (x4 (a1 V)) as proof of False
% 207.20/207.47  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 207.20/207.47  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 207.20/207.47  Found a10:=(a1 W):((rel_s4 W) W)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (a1 W) as proof of ((rel_s4 W) V2)
% 207.20/207.47  Found (x7 (a1 W)) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 207.20/207.47  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (x5 (a1 S)) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (x5 (a1 S)) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 207.20/207.47  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 207.20/207.47  Found a10:=(a1 S):((rel_s4 S) S)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 207.20/207.47  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (x5 (a1 S)) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 209.28/209.55  Found a10:=(a1 W):((rel_s4 W) W)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V2)
% 209.28/209.55  Found (x7 (a1 W)) as proof of False
% 209.28/209.55  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 209.28/209.55  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V0)
% 209.28/209.55  Found a10:=(a1 V):((rel_s4 V) V)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (x4 (a1 V)) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 209.28/209.55  Found a10:=(a1 V):((rel_s4 V) V)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (x4 (a1 V)) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 209.28/209.55  Found a10:=(a1 V):((rel_s4 V) V)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (x4 (a1 V)) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 209.28/209.55  Found a10:=(a1 V):((rel_s4 V) V)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (a1 V) as proof of ((rel_s4 V) V01)
% 209.28/209.55  Found (x4 (a1 V)) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 209.28/209.55  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (x5 (a1 S)) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (x5 (a1 S)) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 209.28/209.55  Found a10:=(a1 W):((rel_s4 W) W)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found a10:=(a1 W):((rel_s4 W) W)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found (a1 W) as proof of ((rel_s4 W) V1)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (x5 (a1 S)) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 209.28/209.55  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 209.28/209.55  Found a10:=(a1 S):((rel_s4 S) S)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 209.28/209.55  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (x5 (a1 S)) as proof of False
% 210.40/210.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 210.40/210.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 210.40/210.72  Found a10:=(a1 S):((rel_s4 S) S)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found (a1 S) as proof of ((rel_s4 S) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 V):((rel_s4 V) V)
% 210.40/210.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 210.40/210.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 210.40/210.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 210.40/210.72  Found (x4 (a1 V)) as proof of False
% 210.40/210.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 210.40/210.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V1)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 210.40/210.72  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 V):((rel_s4 V) V)
% 211.27/211.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 211.27/211.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 211.27/211.53  Found (a1 V) as proof of ((rel_s4 V) V01)
% 211.27/211.53  Found (x4 (a1 V)) as proof of False
% 211.27/211.53  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 211.27/211.53  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 S):((rel_s4 S) S)
% 211.27/211.53  Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.27/211.53  Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.27/211.53  Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.27/211.53  Found (x5 (a1 S)) as proof of False
% 211.27/211.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 211.27/211.53  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 211.27/211.53  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 W):((rel_s4 W) W)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found (a1 W) as proof of ((rel_s4 W) V1)
% 211.27/211.53  Found a10:=(a1 S):((rel_s4 S) S)
% 211.27/211.53  Found (a1 S) as proof of ((rel_s4 S) V1)
% 211.27/211.53  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (x5 (a1 S)) as proof of False
% 212.18/212.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 212.18/212.46  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 212.18/212.46  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.18/212.46  Found a10:=(a1 S):((rel_s4 S) S)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found a10:=(a1 V):((rel_s4 V) V)
% 212.18/212.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 212.18/212.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 212.18/212.46  Found (a1 V) as proof of ((rel_s4 V) V01)
% 212.18/212.46  Found (x4 (a1 V)) as proof of False
% 212.18/212.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 212.18/212.46  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.18/212.46  Found a10:=(a1 W):((rel_s4 W) W)
% 212.18/212.46  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V1)
% 212.46/212.73  Found a10:=(a1 S):((rel_s4 S) S)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found a10:=(a1 S):((rel_s4 S) S)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V0)
% 212.46/212.73  Found a10:=(a1 S):((rel_s4 S) S)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.46/212.73  Found (a1 S) as proof of ((rel_s4 S) V1)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 212.46/212.73  Found a10:=(a1 W):((rel_s4 W) W)
% 212.46/212.73  Found (a1 W) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 212.46/212.73  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 212.46/212.73  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 214.81/215.11  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 V):((rel_s4 V) V)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (x4 (a1 V)) as proof of False
% 214.81/215.11  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 214.81/215.11  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 214.81/215.11  Found a10:=(a1 V):((rel_s4 V) V)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (a1 V) as proof of ((rel_s4 V) V01)
% 214.81/215.11  Found (x4 (a1 V)) as proof of False
% 214.81/215.11  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 214.81/215.11  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 214.81/215.11  Found a10:=(a1 S):((rel_s4 S) S)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found a10:=(a1 S):((rel_s4 S) S)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V1)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V1)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V1)
% 214.81/215.11  Found a10:=(a1 S):((rel_s4 S) S)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found (a1 S) as proof of ((rel_s4 S) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V0)
% 214.81/215.11  Found a10:=(a1 W):((rel_s4 W) W)
% 214.81/215.11  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found a10:=(a1 W):((rel_s4 W) W)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V0)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V0)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V0)
% 219.56/219.86  Found a10:=(a1 W):((rel_s4 W) W)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) V1)
% 219.56/219.86  Found a10:=(a1 S):((rel_s4 S) S)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 219.56/219.86  Found a10:=(a1 S):((rel_s4 S) S)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 219.56/219.86  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found a10:=(a1 V):((rel_s4 V) V)
% 219.56/219.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.56/219.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.56/219.86  Found (a1 V) as proof of ((rel_s4 V) V01)
% 219.56/219.86  Found (x4 (a1 V)) as proof of False
% 219.56/219.86  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 219.56/219.86  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 219.56/219.86  Found a10:=(a1 S):((rel_s4 S) S)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 219.56/219.86  Found a10:=(a1 S):((rel_s4 S) S)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 219.56/219.86  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found a10:=(a1 S):((rel_s4 S) S)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found (a1 S) as proof of ((rel_s4 S) V0)
% 219.56/219.86  Found a10:=(a1 W):((rel_s4 W) W)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) T)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) T)
% 219.56/219.86  Found (a1 W) as proof of ((rel_s4 W) T)
% 219.56/219.86  Found a10:=(a1 T):((rel_s4 T) T)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found a10:=(a1 T):((rel_s4 T) T)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found (a1 T) as proof of ((rel_s4 T) V0)
% 219.56/219.86  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 219.56/219.86  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 219.56/219.86  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 219.56/219.86  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 219.56/219.86  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 219.56/219.86  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 224.14/224.43  Found a10:=(a1 S):((rel_s4 S) S)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found a10:=(a1 T):((rel_s4 T) T)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found a10:=(a1 T):((rel_s4 T) T)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found ((a200 S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> ((a20 T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found a10:=(a1 T):((rel_s4 T) T)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found a10:=(a1 S):((rel_s4 S) S)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found a10:=(a1 S):((rel_s4 S) S)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) T)
% 224.14/224.43  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 224.14/224.43  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found ((a200 V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found a10:=(a1 S):((rel_s4 S) S)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found (a1 S) as proof of ((rel_s4 S) V0)
% 224.14/224.43  Found a10:=(a1 W):((rel_s4 W) W)
% 224.14/224.43  Found (a1 W) as proof of ((rel_s4 W) T)
% 224.14/224.43  Found (a1 W) as proof of ((rel_s4 W) T)
% 224.14/224.43  Found (a1 W) as proof of ((rel_s4 W) T)
% 224.14/224.43  Found a10:=(a1 T):((rel_s4 T) T)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found a10:=(a1 T):((rel_s4 T) T)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found (a1 T) as proof of ((rel_s4 T) V0)
% 224.14/224.43  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found a10:=(a1 W):((rel_s4 W) W)
% 226.36/226.66  Found (a1 W) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found (a1 W) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found (a1 W) as proof of ((rel_s4 W) V0)
% 226.36/226.66  Found a10:=(a1 T):((rel_s4 T) T)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found a10:=(a1 S):((rel_s4 S) S)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found a10:=(a1 S):((rel_s4 S) S)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found ((a200 V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found a10:=(a1 T):((rel_s4 T) T)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found (a1 T) as proof of ((rel_s4 T) V0)
% 226.36/226.66  Found a10:=(a1 S):((rel_s4 S) S)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found a10:=(a1 S):((rel_s4 S) S)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found (a1 S) as proof of ((rel_s4 S) T)
% 226.36/226.66  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 226.36/226.66  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found ((a200 V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> ((a20 T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 226.36/226.66  Found (((fun (T:fofType)=> (((a2 S) T) V0)) V0) ((((conj ((rel_s4 S) V0)) ((rel_s4 V0) V0)) (a1 S)) (a1 V0))) as proof of ((rel_s4 S) V0)
% 228.15/228.43  Found False_rect00:=(False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))):((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 228.15/228.43  Found (False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 228.15/228.43  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 W) V0)
% 228.15/228.43  Found a10:=(a1 W):((rel_s4 W) W)
% 228.15/228.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 228.15/228.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 228.15/228.43  Found (a1 W) as proof of ((rel_s4 W) V0)
% 228.15/228.43  Found a10:=(a1 V):((rel_s4 V) V)
% 228.15/228.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 228.15/228.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 228.15/228.43  Found (a1 V) as proof of ((rel_s4 V) V0)
% 228.15/228.43  Found (x2 (a1 V)) as proof of False
% 228.15/228.43  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of False
% 228.15/228.43  Found (fun (x2:(((rel_s4 V) V0)->False))=> (x2 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 228.15/228.43  Found False_rect00:=(False_rect0 (q V)):(q V)
% 228.15/228.43  Found (False_rect0 (q V)) as proof of (q V)
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 228.15/228.43  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 228.15/228.43  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 228.15/228.43  Found False_rect00:=(False_rect0 (q V)):(q V)
% 228.15/228.43  Found (False_rect0 (q V)) as proof of (q V)
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 228.15/228.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 228.15/228.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 228.15/228.43  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 228.15/228.43  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 228.15/228.43  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 228.15/228.43  Found False_rect00:=(False_rect0 (q V)):(q V)
% 228.15/228.43  Found (False_rect0 (q V)) as proof of (q V)
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 228.15/228.43  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 228.15/228.43  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 228.15/228.43  Found False_rect00:=(False_rect0 (q V)):(q V)
% 228.15/228.43  Found (False_rect0 (q V)) as proof of (q V)
% 228.15/228.43  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 228.15/228.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 228.15/228.43  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 228.15/228.43  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 228.15/228.43  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 228.15/228.43  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 232.07/232.35  Found a10:=(a1 V):((rel_s4 V) V)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (x3 (a1 V)) as proof of False
% 232.07/232.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 232.07/232.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 232.07/232.35  Found a10:=(a1 S):((rel_s4 S) S)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found a10:=(a1 S):((rel_s4 S) S)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 V):((rel_s4 V) V)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (a1 V) as proof of ((rel_s4 V) V00)
% 232.07/232.35  Found (x3 (a1 V)) as proof of False
% 232.07/232.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 232.07/232.35  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 232.07/232.35  Found a10:=(a1 S):((rel_s4 S) S)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found a10:=(a1 S):((rel_s4 S) S)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found False_rect00:=(False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))):((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 232.07/232.35  Found (False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 232.07/232.35  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 232.07/232.35  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 232.07/232.35  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found a10:=(a1 W):((rel_s4 W) W)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 232.07/232.35  Found False_rect00:=(False_rect0 (q V)):(q V)
% 232.07/232.35  Found (False_rect0 (q V)) as proof of (q V)
% 232.07/232.35  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 232.07/232.35  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 232.07/232.35  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 232.07/232.35  Found False_rect00:=(False_rect0 (q V)):(q V)
% 232.07/232.35  Found (False_rect0 (q V)) as proof of (q V)
% 234.03/234.31  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 234.03/234.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 234.03/234.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 234.03/234.31  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found False_rect00:=(False_rect0 (q V)):(q V)
% 234.03/234.31  Found (False_rect0 (q V)) as proof of (q V)
% 234.03/234.31  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 234.03/234.31  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 234.03/234.31  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 234.03/234.31  Found False_rect00:=(False_rect0 (q V)):(q V)
% 234.03/234.31  Found (False_rect0 (q V)) as proof of (q V)
% 234.03/234.31  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 234.03/234.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 234.03/234.31  Found (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 S) V1)->False)->(q V))
% 234.03/234.31  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 S) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 234.03/234.31  Found a10:=(a1 V):((rel_s4 V) V)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (x3 (a1 V)) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 234.03/234.31  Found a10:=(a1 V):((rel_s4 V) V)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (x3 (a1 V)) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 234.03/234.31  Found a10:=(a1 V):((rel_s4 V) V)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (x3 (a1 V)) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 234.03/234.31  Found a10:=(a1 V):((rel_s4 V) V)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (a1 V) as proof of ((rel_s4 V) V00)
% 234.03/234.31  Found (x3 (a1 V)) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 234.03/234.31  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 234.03/234.31  Found a10:=(a1 S):((rel_s4 S) S)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found a10:=(a1 S):((rel_s4 S) S)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found a10:=(a1 V):((rel_s4 V) V)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (x3 (a1 V)) as proof of False
% 237.27/237.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 237.27/237.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 237.27/237.59  Found a10:=(a1 S):((rel_s4 S) S)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found a10:=(a1 S):((rel_s4 S) S)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found a10:=(a1 W):((rel_s4 W) W)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found (a1 W) as proof of ((rel_s4 W) V0)
% 237.27/237.59  Found False_rect00:=(False_rect0 (q V)):(q V)
% 237.27/237.59  Found (False_rect0 (q V)) as proof of (q V)
% 237.27/237.59  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 237.27/237.59  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 237.27/237.59  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 237.27/237.59  Found False_rect00:=(False_rect0 (q V)):(q V)
% 237.27/237.59  Found (False_rect0 (q V)) as proof of (q V)
% 237.27/237.59  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 237.27/237.59  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 237.27/237.59  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 237.27/237.59  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 237.27/237.59  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 237.27/237.59  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 237.27/237.59  Found a10:=(a1 V):((rel_s4 V) V)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 237.27/237.59  Found (x3 (a1 V)) as proof of False
% 237.27/237.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 237.27/237.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 S):((rel_s4 S) S)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found a10:=(a1 S):((rel_s4 S) S)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 V):((rel_s4 V) V)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (a1 V) as proof of ((rel_s4 V) V00)
% 241.28/241.59  Found (x3 (a1 V)) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 241.28/241.59  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 241.28/241.59  Found a10:=(a1 S):((rel_s4 S) S)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found a10:=(a1 S):((rel_s4 S) S)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found (a1 S) as proof of ((rel_s4 S) V0)
% 241.28/241.59  Found False_rect00:=(False_rect0 (q V)):(q V)
% 241.28/241.59  Found (False_rect0 (q V)) as proof of (q V)
% 241.28/241.59  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 241.28/241.59  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 241.28/241.59  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 241.28/241.59  Found False_rect00:=(False_rect0 (q V)):(q V)
% 241.28/241.59  Found (False_rect0 (q V)) as proof of (q V)
% 241.28/241.59  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 241.28/241.59  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 241.28/241.59  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 241.28/241.59  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 241.28/241.59  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 241.28/241.59  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 246.09/246.41  Found a10:=(a1 V):((rel_s4 V) V)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (x3 (a1 V)) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.09/246.41  Found a10:=(a1 V):((rel_s4 V) V)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (x3 (a1 V)) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found a10:=(a1 V):((rel_s4 V) V)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (x3 (a1 V)) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.09/246.41  Found a10:=(a1 V):((rel_s4 V) V)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (a1 V) as proof of ((rel_s4 V) V00)
% 246.09/246.41  Found (x3 (a1 V)) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 246.09/246.41  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.09/246.41  Found a10:=(a1 W):((rel_s4 W) W)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found a10:=(a1 W):((rel_s4 W) W)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found (a1 W) as proof of ((rel_s4 W) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found a10:=(a1 S):((rel_s4 S) S)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 246.09/246.41  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 S):((rel_s4 S) S)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 249.98/250.34  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 S):((rel_s4 S) S)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found a10:=(a1 S):((rel_s4 S) S)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found a10:=(a1 S):((rel_s4 S) S)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found a10:=(a1 S):((rel_s4 S) S)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found (a1 S) as proof of ((rel_s4 S) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found a10:=(a1 W):((rel_s4 W) W)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (a1 W) as proof of ((rel_s4 W) V1)
% 251.72/252.02  Found (x5 (a1 W)) as proof of False
% 251.72/252.02  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 255.22/255.52  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (x5 (a1 W)) as proof of False
% 255.22/255.52  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 255.22/255.52  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V0)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V0)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 W):((rel_s4 W) W)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found (a1 W) as proof of ((rel_s4 W) V1)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found a10:=(a1 S):((rel_s4 S) S)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 255.22/255.52  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (x5 (a1 W)) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (x5 (a1 W)) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V0)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found a10:=(a1 S):((rel_s4 S) S)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found (a1 S) as proof of ((rel_s4 S) V0)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (a1 W) as proof of ((rel_s4 W) V1)
% 256.38/256.67  Found (x5 (a1 W)) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 256.38/256.67  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 256.38/256.67  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (x5 (a1 W)) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (x5 (a1 W)) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (x5 (a1 W)) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 258.96/259.26  Found a10:=(a1 S):((rel_s4 S) S)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 258.96/259.26  Found a10:=(a1 S):((rel_s4 S) S)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 258.96/259.26  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V1)
% 258.96/259.26  Found a10:=(a1 S):((rel_s4 S) S)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V1)
% 258.96/259.26  Found a10:=(a1 S):((rel_s4 S) S)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 258.96/259.26  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found a10:=(a1 W):((rel_s4 W) W)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 258.96/259.26  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 260.04/260.34  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V0)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V1)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (x5 (a1 W)) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (x5 (a1 W)) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (x5 (a1 W)) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.04/260.34  Found a10:=(a1 W):((rel_s4 W) W)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (a1 W) as proof of ((rel_s4 W) V1)
% 260.04/260.34  Found (x5 (a1 W)) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 260.04/260.34  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V2)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V2)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V2)
% 260.04/260.34  Found (x7 (a1 S)) as proof of False
% 260.04/260.34  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 260.04/260.34  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 260.04/260.34  Found a10:=(a1 S):((rel_s4 S) S)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 260.04/260.34  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found a10:=(a1 W):((rel_s4 W) W)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (x5 (a1 W)) as proof of False
% 262.51/262.80  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 262.51/262.80  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 262.51/262.80  Found a10:=(a1 W):((rel_s4 W) W)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (a1 W) as proof of ((rel_s4 W) V1)
% 262.51/262.80  Found (x5 (a1 W)) as proof of False
% 262.51/262.80  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 262.51/262.80  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V2)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V2)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V2)
% 262.51/262.80  Found (x7 (a1 S)) as proof of False
% 262.51/262.80  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 262.51/262.80  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 262.51/262.80  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 262.51/262.80  Found a10:=(a1 V):((rel_s4 V) V)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (x4 (a1 V)) as proof of False
% 262.51/262.80  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 262.51/262.80  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found a10:=(a1 V):((rel_s4 V) V)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (a1 V) as proof of ((rel_s4 V) V01)
% 262.51/262.80  Found (x4 (a1 V)) as proof of False
% 262.51/262.80  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 262.51/262.80  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 262.51/262.80  Found a10:=(a1 S):((rel_s4 S) S)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (a1 S) as proof of ((rel_s4 S) V1)
% 262.51/262.80  Found (x5 (a1 S)) as proof of False
% 262.51/262.80  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 263.16/263.45  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 263.16/263.45  Found a10:=(a1 V):((rel_s4 V) V)
% 263.16/263.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 263.16/263.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 263.16/263.45  Found (a1 V) as proof of ((rel_s4 V) V01)
% 263.16/263.45  Found (x4 (a1 V)) as proof of False
% 263.16/263.45  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 263.16/263.45  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 263.16/263.45  Found a10:=(a1 S):((rel_s4 S) S)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 263.16/263.45  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 263.16/263.45  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found a10:=(a1 S):((rel_s4 S) S)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found a10:=(a1 S):((rel_s4 S) S)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V0)
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V0)
% 263.16/263.45  Found a10:=(a1 S):((rel_s4 S) S)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found (a1 S) as proof of ((rel_s4 S) V1)
% 263.16/263.45  Found (x5 (a1 S)) as proof of False
% 263.16/263.45  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 263.16/263.45  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 263.16/263.45  Found a10:=(a1 W):((rel_s4 W) W)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 263.16/263.45  Found (a1 W) as proof of ((rel_s4 W) V1)
% 263.16/263.45  Found (x5 (a1 W)) as proof of False
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 263.16/263.45  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 264.83/265.12  Found a10:=(a1 W):((rel_s4 W) W)
% 264.83/265.12  Found (a1 W) as proof of ((rel_s4 W) V1)
% 264.83/265.12  Found (a1 W) as proof of ((rel_s4 W) V1)
% 264.83/265.12  Found (a1 W) as proof of ((rel_s4 W) V1)
% 264.83/265.12  Found (x5 (a1 W)) as proof of False
% 264.83/265.12  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 264.83/265.12  Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V0)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V0)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V0)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V2)
% 264.83/265.12  Found (x7 (a1 S)) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 264.83/265.12  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found a10:=(a1 S):((rel_s4 S) S)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found (a1 S) as proof of ((rel_s4 S) V1)
% 264.83/265.12  Found a10:=(a1 V):((rel_s4 V) V)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (x4 (a1 V)) as proof of False
% 264.83/265.12  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 264.83/265.12  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 264.83/265.12  Found a10:=(a1 V):((rel_s4 V) V)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (a1 V) as proof of ((rel_s4 V) V01)
% 264.83/265.12  Found (x4 (a1 V)) as proof of False
% 264.83/265.12  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 264.83/265.12  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.96/266.27  Found a10:=(a1 V):((rel_s4 V) V)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (x4 (a1 V)) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.96/266.27  Found a10:=(a1 V):((rel_s4 V) V)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (x4 (a1 V)) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.96/266.27  Found a10:=(a1 S):((rel_s4 S) S)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (x5 (a1 S)) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 265.96/266.27  Found a10:=(a1 S):((rel_s4 S) S)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (x5 (a1 S)) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 265.96/266.27  Found a10:=(a1 V):((rel_s4 V) V)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (x4 (a1 V)) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.96/266.27  Found a10:=(a1 V):((rel_s4 V) V)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (a1 V) as proof of ((rel_s4 V) V01)
% 265.96/266.27  Found (x4 (a1 V)) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 265.96/266.27  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 265.96/266.27  Found a10:=(a1 S):((rel_s4 S) S)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (x5 (a1 S)) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 265.96/266.27  Found a10:=(a1 S):((rel_s4 S) S)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V1)
% 265.96/266.27  Found (x5 (a1 S)) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 265.96/266.27  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 265.96/266.27  Found a10:=(a1 W):((rel_s4 W) W)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (x7 (a1 W)) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 265.96/266.27  Found a10:=(a1 W):((rel_s4 W) W)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (a1 W) as proof of ((rel_s4 W) V2)
% 265.96/266.27  Found (x7 (a1 W)) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 265.96/266.27  Found a10:=(a1 S):((rel_s4 S) S)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V2)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V2)
% 265.96/266.27  Found (a1 S) as proof of ((rel_s4 S) V2)
% 265.96/266.27  Found (x7 (a1 S)) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 265.96/266.27  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (x7 (a1 S)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (x7 (a1 S)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 267.03/267.35  Found False_rect00:=(False_rect0 (q V)):(q V)
% 267.03/267.35  Found (False_rect0 (q V)) as proof of (q V)
% 267.03/267.35  Found ((fun (P:Type)=> ((False_rect P) x31)) (q V)) as proof of (q V)
% 267.03/267.35  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of (q V)
% 267.03/267.35  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of (((mnot q) V1)->(q V))
% 267.03/267.35  Found False_rect00:=(False_rect0 (q V)):(q V)
% 267.03/267.35  Found (False_rect0 (q V)) as proof of (q V)
% 267.03/267.35  Found ((fun (P:Type)=> ((False_rect P) x31)) (q V)) as proof of (q V)
% 267.03/267.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of (q V)
% 267.03/267.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 267.03/267.35  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) as proof of (q V)
% 267.03/267.35  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) as proof of (q V)
% 267.03/267.35  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) as proof of (q V)
% 267.03/267.35  Found a10:=(a1 W):((rel_s4 W) W)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (x7 (a1 W)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 W):((rel_s4 W) W)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (a1 W) as proof of ((rel_s4 W) V2)
% 267.03/267.35  Found (x7 (a1 W)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (x7 (a1 S)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (x7 (a1 S)) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 267.03/267.35  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 267.03/267.35  Found a10:=(a1 S):((rel_s4 S) S)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 267.03/267.35  Found (a1 S) as proof of ((rel_s4 S) V2)
% 268.38/268.72  Found (x7 (a1 S)) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 268.38/268.72  Found a10:=(a1 S):((rel_s4 S) S)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found a10:=(a1 S):((rel_s4 S) S)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found a10:=(a1 V):((rel_s4 V) V)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (x4 (a1 V)) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 268.38/268.72  Found a10:=(a1 V):((rel_s4 V) V)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (x4 (a1 V)) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found a10:=(a1 S):((rel_s4 S) S)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (x5 (a1 S)) as proof of False
% 268.38/268.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 268.38/268.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 268.38/268.72  Found a10:=(a1 V):((rel_s4 V) V)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (a1 V) as proof of ((rel_s4 V) V01)
% 268.38/268.72  Found (x4 (a1 V)) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 268.38/268.72  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V0)
% 268.38/268.72  Found a10:=(a1 S):((rel_s4 S) S)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (a1 S) as proof of ((rel_s4 S) V1)
% 268.38/268.72  Found (x5 (a1 S)) as proof of False
% 268.38/268.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 268.38/268.72  Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (x7 (a1 W)) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (x7 (a1 W)) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (x7 (a1 W)) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 268.38/268.72  Found a10:=(a1 W):((rel_s4 W) W)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (a1 W) as proof of ((rel_s4 W) V2)
% 268.38/268.72  Found (x7 (a1 W)) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 268.38/268.72  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (x7 (a1 W)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (x7 (a1 W)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V0)
% 269.55/269.85  Found a10:=(a1 S):((rel_s4 S) S)
% 269.55/269.85  Found (a1 S) as proof of ((rel_s4 S) V2)
% 269.55/269.85  Found (a1 S) as proof of ((rel_s4 S) V2)
% 269.55/269.85  Found (a1 S) as proof of ((rel_s4 S) V2)
% 269.55/269.85  Found (x7 (a1 S)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 269.55/269.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 269.55/269.85  Found (False_rect0 (q V)) as proof of (q V)
% 269.55/269.85  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 269.55/269.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 269.55/269.85  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 269.55/269.85  Found False_rect00:=(False_rect0 (q V)):(q V)
% 269.55/269.85  Found (False_rect0 (q V)) as proof of (q V)
% 269.55/269.85  Found ((fun (P:Type)=> ((False_rect P) x31)) (q V)) as proof of (q V)
% 269.55/269.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of (q V)
% 269.55/269.85  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 269.55/269.85  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 269.55/269.85  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 269.55/269.85  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x31)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (x7 (a1 W)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (x7 (a1 W)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (x7 (a1 W)) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 269.55/269.85  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 269.55/269.85  Found a10:=(a1 W):((rel_s4 W) W)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 269.55/269.85  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 S):((rel_s4 S) S)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V2)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V2)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V2)
% 271.58/271.90  Found (x7 (a1 S)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 S) V2)->False))=> (x7 (a1 S))) as proof of ((((rel_s4 S) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found a10:=(a1 S):((rel_s4 S) S)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found a10:=(a1 S):((rel_s4 S) S)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found (a1 S) as proof of ((rel_s4 S) V1)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V0)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 271.58/271.90  Found a10:=(a1 W):((rel_s4 W) W)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (a1 W) as proof of ((rel_s4 W) V2)
% 271.58/271.90  Found (x7 (a1 W)) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 271.58/271.90  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V1)
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 W):((rel_s4 W) W)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (a1 W) as proof of ((rel_s4 W) V2)
% 273.36/273.68  Found (x7 (a1 W)) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 273.36/273.68  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 273.36/273.68  Found a10:=(a1 S):((rel_s4 S) S)
% 273.36/273.68  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 273.36/273.68  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 273.65/273.96  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 V):((rel_s4 V) V)
% 273.65/273.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.65/273.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.65/273.96  Found (a1 V) as proof of ((rel_s4 V) V01)
% 273.65/273.96  Found (x4 (a1 V)) as proof of False
% 273.65/273.96  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 273.65/273.96  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V0)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 S):((rel_s4 S) S)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found (a1 S) as proof of ((rel_s4 S) V1)
% 273.65/273.96  Found a10:=(a1 W):((rel_s4 W) W)
% 273.65/273.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.65/273.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.65/273.96  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 273.65/273.96  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 273.65/273.96  Found a10:=(a1 W):((rel_s4 W) W)
% 273.65/273.96  Found (a1 W) as proof of ((rel_s4 W) V0)
% 273.65/273.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 273.65/273.96  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 273.65/273.96  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 275.31/275.65  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found a10:=(a1 S):((rel_s4 S) S)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found a10:=(a1 S):((rel_s4 S) S)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found a10:=(a1 S):((rel_s4 S) S)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found a10:=(a1 S):((rel_s4 S) S)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found (a1 S) as proof of ((rel_s4 S) V1)
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (x7 (a1 W)) as proof of False
% 275.31/275.65  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 275.31/275.65  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V2)
% 275.31/275.65  Found (x7 (a1 W)) as proof of False
% 275.31/275.65  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 275.31/275.65  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 275.31/275.65  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found a10:=(a1 W):((rel_s4 W) W)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 275.31/275.65  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 276.29/276.62  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found a10:=(a1 S):((rel_s4 S) S)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found a10:=(a1 S):((rel_s4 S) S)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.29/276.62  Found (x7 (a1 W)) as proof of False
% 276.29/276.62  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 276.29/276.62  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found a10:=(a1 S):((rel_s4 S) S)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.29/276.62  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.29/276.62  Found a10:=(a1 W):((rel_s4 W) W)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.29/276.62  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.59/276.92  Found a10:=(a1 W):((rel_s4 W) W)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 W):((rel_s4 W) W)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V2)
% 276.59/276.92  Found (x7 (a1 W)) as proof of False
% 276.59/276.92  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of False
% 276.59/276.92  Found (fun (x7:(((rel_s4 W) V2)->False))=> (x7 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 276.59/276.92  Found a10:=(a1 W):((rel_s4 W) W)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V1)
% 276.59/276.92  Found a10:=(a1 W):((rel_s4 W) W)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.59/276.92  Found (a1 W) as proof of ((rel_s4 W) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 276.59/276.92  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V1)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found a10:=(a1 S):((rel_s4 S) S)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 276.59/276.92  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found a10:=(a1 V):((rel_s4 V) V)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (x4 (a1 V)) as proof of False
% 277.88/278.19  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 277.88/278.19  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 277.88/278.19  Found a10:=(a1 V):((rel_s4 V) V)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (a1 V) as proof of ((rel_s4 V) V01)
% 277.88/278.19  Found (x4 (a1 V)) as proof of False
% 277.88/278.19  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 277.88/278.19  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found a10:=(a1 W):((rel_s4 W) W)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 277.88/278.19  Found a10:=(a1 W):((rel_s4 W) W)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 277.88/278.19  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found a10:=(a1 W):((rel_s4 W) W)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 277.88/278.19  Found a10:=(a1 W):((rel_s4 W) W)
% 277.88/278.19  Found (a1 W) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 277.88/278.19  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V1)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found (a1 S) as proof of ((rel_s4 S) V0)
% 277.88/278.19  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 279.00/279.35  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:((mnot q) V1))=> (a1 W)) as proof of (((mnot q) V1)->((rel_s4 W) V0))
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W)) as proof of ((((rel_s4 W) V1)->False)->((rel_s4 W) V0))
% 279.00/279.35  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (((or_ind2 ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 W) V0)) (fun (x5:(((rel_s4 W) V1)->False))=> (a1 W))) (fun (x5:((mnot q) V1))=> (a1 W))) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V1)
% 279.00/279.35  Found a10:=(a1 S):((rel_s4 S) S)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found (a1 S) as proof of ((rel_s4 S) V0)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V1)
% 279.00/279.35  Found a10:=(a1 W):((rel_s4 W) W)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 279.00/279.35  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V1)
% 280.07/280.38  Found a10:=(a1 V):((rel_s4 V) V)
% 280.07/280.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.07/280.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.07/280.38  Found (a1 V) as proof of ((rel_s4 V) V01)
% 280.07/280.38  Found (x4 (a1 V)) as proof of False
% 280.07/280.38  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of False
% 280.07/280.38  Found (fun (x4:(((rel_s4 V) V01)->False))=> (x4 (a1 V))) as proof of ((((rel_s4 V) V01)->False)->False)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found False_rect00:=(False_rect0 (q V)):(q V)
% 280.07/280.38  Found (False_rect0 (q V)) as proof of (q V)
% 280.07/280.38  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 280.07/280.38  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 280.07/280.38  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 280.07/280.38  Found False_rect00:=(False_rect0 (q V)):(q V)
% 280.07/280.38  Found (False_rect0 (q V)) as proof of (q V)
% 280.07/280.38  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 280.07/280.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 280.07/280.38  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 280.07/280.38  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 280.07/280.38  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 280.07/280.38  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 280.07/280.38  Found a10:=(a1 W):((rel_s4 W) W)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found (a1 W) as proof of ((rel_s4 W) V0)
% 280.07/280.38  Found a10:=(a1 S):((rel_s4 S) S)
% 280.07/280.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 280.07/280.38  Found a10:=(a1 S):((rel_s4 S) S)
% 280.07/280.38  Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 280.07/280.38  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 280.07/280.38  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 W):((rel_s4 W) W)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 W):((rel_s4 W) W)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found a10:=(a1 W):((rel_s4 W) W)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V1)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V1)
% 283.85/284.15  Found False_rect00:=(False_rect0 (q V)):(q V)
% 283.85/284.15  Found (False_rect0 (q V)) as proof of (q V)
% 283.85/284.15  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 283.85/284.15  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 283.85/284.15  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 283.85/284.15  Found False_rect00:=(False_rect0 (q V)):(q V)
% 283.85/284.15  Found (False_rect0 (q V)) as proof of (q V)
% 283.85/284.15  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 283.85/284.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 283.85/284.15  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 283.85/284.15  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 283.85/284.15  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 283.85/284.15  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 283.85/284.15  Found a10:=(a1 W):((rel_s4 W) W)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found (a1 W) as proof of ((rel_s4 W) V0)
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (fun (x5:((mnot q) V1))=> (a1 S)) as proof of (((mnot q) V1)->((rel_s4 S) V0))
% 283.85/284.15  Found a10:=(a1 S):((rel_s4 S) S)
% 283.85/284.15  Found (a1 S) as proof of ((rel_s4 S) V0)
% 283.85/284.15  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((rel_s4 S) V0)
% 284.86/285.22  Found (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S)) as proof of ((((rel_s4 S) V1)->False)->((rel_s4 S) V0))
% 284.86/285.22  Found ((or_ind20 (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 284.86/285.22  Found (((or_ind2 ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 284.86/285.22  Found ((((fun (P:Prop) (x5:((((rel_s4 S) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 S) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) ((rel_s4 S) V0)) (fun (x5:(((rel_s4 S) V1)->False))=> (a1 S))) (fun (x5:((mnot q) V1))=> (a1 S))) as proof of ((rel_s4 S) V0)
% 284.86/285.22  Found False_rect00:=(False_rect0 (q V)):(q V)
% 284.86/285.22  Found (False_rect0 (q V)) as proof of (q V)
% 284.86/285.22  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 284.86/285.22  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 284.86/285.22  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 284.86/285.22  Found False_rect00:=(False_rect0 (q V)):(q V)
% 284.86/285.22  Found (False_rect0 (q V)) as proof of (q V)
% 284.86/285.22  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 284.86/285.22  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 284.86/285.22  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 284.86/285.22  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 284.86/285.22  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 284.86/285.22  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 284.86/285.22  Found a10:=(a1 W):((rel_s4 W) W)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found a10:=(a1 W):((rel_s4 W) W)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found a10:=(a1 W):((rel_s4 W) W)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V0)
% 284.86/285.22  Found a10:=(a1 W):((rel_s4 W) W)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 284.86/285.22  Found (a1 W) as proof of ((rel_s4 W) V1)
% 284.86/285.22  Found False_rect00:=(False_rect0 (q V)):(q V)
% 284.86/285.22  Found (False_rect0 (q V)) as proof of (q V)
% 284.86/285.22  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 284.86/285.22  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 284.86/285.22  Found (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (((mnot q) V1)->(q V))
% 284.86/285.22  Found False_rect00:=(False_rect0 (q V)):(q V)
% 284.86/285.22  Found (False_rect0 (q V)) as proof of (q V)
% 284.86/285.22  Found ((fun (P:Type)=> ((False_rect P) x30)) (q V)) as proof of (q V)
% 284.86/285.22  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of (q V)
% 284.86/285.22  Found (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V))) as proof of ((((rel_s4 W) V1)->False)->(q V))
% 284.86/285.22  Found ((or_ind20 (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 284.86/285.22  Found (((or_ind2 (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 284.86/285.22  Found ((((fun (P:Prop) (x5:((((rel_s4 W) V1)->False)->P)) (x6:(((mnot q) V1)->P))=> ((((((or_ind (((rel_s4 W) V1)->False)) ((mnot q) V1)) P) x5) x6) x4)) (q V)) (fun (x5:(((rel_s4 W) V1)->False))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) (fun (x5:((mnot q) V1))=> ((fun (P:Type)=> ((False_rect P) x30)) (q V)))) as proof of (q V)
% 288.53/288.87  Found a10:=(a1 S):((rel_s4 S) S)
% 288.53/288.87  Found (a1 S) as proof of ((rel_s4 S) T)
% 288.53/288.87  Found (a1 S) as proof of ((rel_s4 S) T)
% 288.53/288.87  Found (a1 S) as proof of ((rel_s4 S) T)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 288.53/288.87  Found ((a200 S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> ((a20 T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 288.53/288.87  Found a10:=(a1 W):((rel_s4 W) W)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 288.53/288.87  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 288.53/288.87  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 288.53/288.87  Found a10:=(a1 W):((rel_s4 W) W)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found (a1 W) as proof of ((rel_s4 W) T)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found a10:=(a1 T):((rel_s4 T) T)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found (a1 T) as proof of ((rel_s4 T) V0)
% 288.53/288.87  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 288.53/288.87  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found a10:=(a1 S):((rel_s4 S) S)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) T)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) T)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) T)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found ((conj00 (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found (((conj0 ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T)) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found (a2000 ((((conj ((rel_s4 S) T)) ((rel_s4 T) V0)) (a1 S)) (a1 T))) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found ((a200 S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> ((a20 T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 S) T) V0)) S) ((((conj ((rel_s4 S) S)) ((rel_s4 S) V0)) (a1 S)) (a1 S))) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found a10:=(a1 S):((rel_s4 S) S)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found (a1 S) as proof of ((rel_s4 S) V0)
% 292.96/293.26  Found a10:=(a1 W):((rel_s4 W) W)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 292.96/293.26  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 292.96/293.26  Found a10:=(a1 W):((rel_s4 W) W)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found (a1 W) as proof of ((rel_s4 W) T)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found a10:=(a1 T):((rel_s4 T) T)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 292.96/293.26  Found (a1 T) as proof of ((rel_s4 T) V0)
% 297.98/298.30  Found (a1 T) as proof of ((rel_s4 T) V0)
% 297.98/298.30  Found ((conj00 (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (((conj0 ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T)) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (a2000 ((((conj ((rel_s4 W) T)) ((rel_s4 T) V0)) (a1 W)) (a1 T))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found ((a200 W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found (((fun (T:fofType)=> ((a20 T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found (((fun (T:fofType)=> (((a2 W) T) V0)) W) ((((conj ((rel_s4 W) W)) ((rel_s4 W) V0)) (a1 W)) (a1 W))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found False_rect00:=(False_rect0 ((and ((rel_s4 S) T)) ((rel_s4 T) V0))):((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (False_rect0 ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 S) V0)
% 297.98/298.30  Found False_rect00:=(False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))):((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found False_rect00:=(False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))):((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (False_rect0 ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 W) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 W) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 W) V0)
% 297.98/298.30  Found a10:=(a1 V):((rel_s4 V) V)
% 297.98/298.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.98/298.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.98/298.30  Found (a1 V) as proof of ((rel_s4 V) V00)
% 297.98/298.30  Found (x3 (a1 V)) as proof of False
% 297.98/298.30  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 297.98/298.30  Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 297.98/298.30  Found a10:=(a1 S):((rel_s4 S) S)
% 297.98/298.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 297.98/298.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 297.98/298.30  Found (a1 S) as proof of ((rel_s4 S) V0)
% 297.98/298.30  Found False_rect00:=(False_rect0 ((and ((rel_s4 S) T)) ((rel_s4 T) V0))):((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (False_rect0 ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0))) as proof of ((and ((rel_s4 S) T)) ((rel_s4 T) V0))
% 297.98/298.30  Found (a2000 ((fun (P:Type)=> ((False_rect P) x30)) ((and ((rel_s4 S) T)) ((rel_s4 T) V0)))) as proof of ((rel_s4 S) V0)
% 297.98/298.30  Found a10:=(a1 S):((rel_s4 S) S)
% 297.98/298.30  Found (a1 
%------------------------------------------------------------------------------